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8/10/2019 Proceedings ECT 2012
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ISSN 1822-5934
ELECTRICAL AND CONTROL
TECHNOLOGIES
PROCEEDINGS
OF THE 7THINTERNATIONAL CONFERENCE ON
ELECTRICAL AND CONTROL TECHNOLOGIES
Sponsored by:
Research Council of Lithuania
ABB UAB
KAUNAS, TECHNOLOGIJA, 2012
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UDK 621.3(474.5)(06); 681.5(474.5)(06)
The 7th
International Conference on Electrical and Control Technologies,
ECT2012Selected papers of the International Conference, May 3-4, 2012, Kaunas, Lithuania
(Kaunas University of Technology), edited: A. Navickas (Editor-in-Chief), A. Sauhats,
A. Virbalis, M. Aubalis, V. Galvanauskas, K. Brazauskas, A. Jonaitis
The 7th
International Conference on Electrical and Control Technologies, ECT2012 is
the continuation of series of annual conferences on electrical, power engineering,electrical drives and control technologies held earlier in Kaunas Polytechnic Institute
and from 1990 in Kaunas University of Technology.
The aim of the Conference is to create the forum for presentations and discussions toconsider the newest research and application results of investigations on electrical and
power engineering, electric drives, power converters, automation and control
technologies.
All papers were reviewed by Conference Editorial Committee, Conference Program
Advisory Committee, independent paper reviewers.
For information write to:
Kaunas University of Technology
Department of Electric Power SystemsStudent Str. 48, LT-51367 Kaunas
Lithuania
Kaunas University of Technology, 2012
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CONTENTS
Multimodal Automation Controller for Smart Homes .......................................................... ........................................ 9Rytis Maskeliunas*, Vidas Raudonis*, Grigor Stambolov**, Rimvydas Simutis** Kaunas University of Technology, Lithuania; ** Technical University-Sofia, Bulgaria
Identification of Interconnected Systems by Instrumental Variables Method .......................................................... 13Grzegorz MzykWroclaw University of Technology, Institute of Computer Engineering, Control and Robotics, Wroclaw, Poland
Investigation of Automatic Control System in Wood Drying Facilities ............................................................... ..... 17
Bronius Karalinas*, Dalia Lukoien*, Liudmila Andriuien***Vilnius Gediminas Technical University, Lithuania
**Vilnius College of Technologies and Design, Lithuania
Artificial Intelligence Approach to SoC Estimation for Smart BMS ......................................................................... 21K.L. Man
1,2,3, C. Chen
5, T.O. Ting
1, T. Krilaviius3,4, J. Chang6, S.H. Poon71Xi'an Jiaotong-Liverpool University, China; 2Myongji University, South Korea; 3Baltic Institute of Advanced Technology,Lithuania; 4Vytautas Magnus University, Lithuania; 5Global Institute of Software Technology, China;6Texas Instruments, Inc, USA; 7National Tsing Hua University, Taiwan
Closed-Loop Optimization Algorithms in Digital Self-Tuning PID Control of Pressure Process ........................... 25
Gediminas Liauius, Vytautas KaminskasDepartment of Systems Analysis, Vytautas Magnus University, Lithuania
Toolbox for Automatic Control of Fermentation Processes for the Production of Recombinant Therapeutic
Protein ............................................................................................................................................................................. 30
Artur Kuprijanov*, Sebastian Schaepe**, Mathias Aehle**, Andreas Lbbert**, Rimvydas Simutis* * Institute of Automation and Control Systems, Kaunas University of Technology, Lithuania** Institute of Biochemistry and Biotechnology, Martin-Luther-University Halle-Wittenberg, Germany
An Automatic System of Lithuanian Speech Formant Synthesizer Parameter Estimation ................................... 36
Graina Py*, Virginija imonyt**, Vytautas Slivinskas***Vilnius University Institute of Mathematics and Informatics, Lithuania
**Lithuanian University of Educational Sciences, Lithuania
Wireless Sensor Networks Application at Water Distribution Networks in Latvia ................................................. 40Anatolijs Zabasta*, Viesturs Selmanovs-Pless**, Nadezda Kunicina**Riga Technical University, Institute of Industrial Electronics and Electrical Engineering, Latvia**Micro Dators ltd, Latvia
IEEE802.11n Standards Capability to Support Wireless Device in Vehicular Environment ........................... ..... 44Janis Jansons, Ernests Petersons, Nikolajs BogdanovsDepartment of Transport Electronics and Telematics, Riga Technical University, Latvia
Predicting Trends of Financial Attributes by an Adaptive Committee of Models .................................................... 48
Zivile Kalsyte*, Antanas Verikas*,**, Asta Vasiliauskaite***
*Department of Electrical & Control Equipment, Kaunas University of Technology, Lithuania
**Intelligent Systems Laboratory, Halmstad University, Sweden***Faculty of Economics and Management, Department of Finance, Kaunas University of Technology, Lithuania
Forecast of Healthcare Industry Distress Ratio According to the Companies Sectors............................................. 54Audrius Kabasinskas*, Zivile Kalsyte**, Asta Vasiliauskaite****Deptartment of Mathematical Research in Systems. Kaunas University of Technology. Lithuania** Department of Electrical & Control Equipment.Kaunas University of Technology, Lithuania
***Faculty of Economics and Management, Department of Finance, Kaunas University of Technology, Lithuania
Modeling Results of Vehicular Network for File Transfer Protocol ......................................................... ................ 60
Nikolajs Bogdanovs, Ernests Petersons, Janis JansonsDepartment of Transport Electronics and Telematics, Riga Technical University, Latvia
Temperature Control Prototype for Education and Training Purposes ................................................................... 64Gediminas Valiulis, Edvardas BielskisElectrical Engineering Department, iauliai University, Lithuania
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Face Geometric Normalization Based on Eye Position ........................................................ ...................................... 70
Audrius Bukis, Paulius Lengvenis, Rimvydas SimutisDepartment of Process Control, Kaunas University of Technology, Lithuania
Orientation Invariant Objects Recognition in Infrared and Visible Lights on Hierarchical Temporal Memory . 74
Saulius Sinkeviius*, Vytenis Sinkeviius***Department of Information Systems and Communications, Panevezys College, Lithuania
**Department of Electrical Engineering, Kaunas University of Technology, Lithuania
Microcontroller Based Model of Fitzhugh-Nagumo System ............................................................ ........................... 78
Andrius Petrovas*, Saulius Lisauskas*, Alvydas lepikas* *Vilnius Gediminas Technical University, Lithuania
Investigation of the Multidimensional Automatic Control System, Having Structure of the Chain, Applying
Lambert W Function ...................................................................................................................................................... 82
Irma Ivanoviene, Jonas RimasDepartment of Applied Mathematics, Kaunas University of Technology, Lithuania
Research of Temperature Regulation at Variable Air Volume ....................................................... ........................... 87Ansis Klga*, Romualds Beinskis*, Andris Krmi** *Department of Transport Electronics and Telematics, Riga Technical University, Latvia**Institute of Heat, Gas and water technology, Riga Technical University, Latvia
Building Classification Models Using Adaptive Basis Function Construction .......................................................... 91Gints JekabsonsInstitute of Applied Computer Systems, Riga Technical University, Latvia
Technical Characteristics of TI DM3730 Embedded Platform When Processing Video Information ................... 95
Paulius Lengvenis, Rimvydas SimutisProcess control department, Kaunas University of Technology, Lithuania
Investigation of Avatars Face Features Influence on Users Emotional State Using Neuro-Feedback ................. 99
Egidijus Vakeviius, Edvinas Bazeviius, Aura Vidugirien, Vytautas KaminskasDepartment of System Analysis, Vytautas Magnus University, Lithuania
Business Process Dimension in Design of Control Systems .................. .............................................................. ...... 105Edvinas Pakalnickas, Dalius MisinasLietuvos energija AB, Lithuania
Exploration of Color Histograms Applicability for Amber Surface Analysis ......................................................... 109
Saulius Sinkeviius, Arnas LipnickasDepartment of Control Technology, Kaunas University of Technology, Lithuania
Hexapod Kinematic Model Optimization for Control System.................................................................................. 113Tomas Luneckas, Dainius UdrisVilnius Gediminas Technical University, Lithuania
Investigation into Frequency Controlled Electric Drive ........................................................................................ ... 117
Jonas Kriauinas, Roma Rinkeviien
Vilnius Gediminas Technical University, Lithuania
Optimization of Spare Parts Warehouse Costs ........................................................... ............................................... 121Rytis Briedis, Vygandas Vaitkus, Saulius iukasKaunas University of Technology, Lithuania
Mobile Robot Prediction of Potential Conflicts ......................................................................................................... 127
Stanislovas Bartkeviius, Kastytis arkauskas, ydrnas JakasDepartment of Electrical Engineering, Kaunas University of Technology, Lithuania
Mobile Robot Coordinates Detection Problems Using Centre of Gravity of Visible Environment ....................... 131
Stanislovas Bartkeviius, Alma Dervinien, Olga Fiodorova, Kastytis arkauskasKaunas University of Technology, Lithuania
Application of Smart Grid Technologies in Emergency Automation ............................................. ......................... 135Vladimir Chuvychin, Roman PetrichenkoRiga Technical University, Latvia
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Impact on Reliability of Electrical Power Supply by Feeding of Offshore Wind Parks......................................... 139
Marco Fleckenstein, Gerd BalzerTU Darmstadt, Germany
The Means of Magnetic and Electric Fields Indication ......................................................... .................................... 143
Gabija Nedzinskait*, Juozapas Arvydas Virbalis*, Algis Vegys***Kaunas University of Technology, Department of Electrical Engineering, Lithuania
**Kaunas University of Technology, Department of Ergonomics, Lithuania
Stability Analysis of Electrical Power System Trough Characteristic Polynomial Roots Locality ....................... 147Georgi Georgiev*, Inga Zicmane**, Sergey Kovalenko**
,***
* Energy Institute JSC Sofia, Bulgaria; ** Riga Technical University, Institute of Power Engineering, Latvia;*** JSC Siltumelektroprojekts, Latvia
Mathematical Model for 110/10 kV Transformer Substations Optimum Power Choice...................................... 151
Svetlana Guseva, Olegs BorscevskisRiga Technical University, Latvia
Lightning Performance on Transmission Line Towers ......................................................... .................................... 157Olegs Sliskis, Ilja Dvornikovs, Karlis KetnersRiga Technical University, Latvia
Dynamic Mathematical Model and Single-Phase Short Circuit Analysis of Variable Speed PumpStorage Unit ................................................................ ............................................................... .................................... 161
Rimantas Pranas Deksnys, Darius AliauskasKaunas University of Technology, Lithuania
Operating Condition Processes Research of InverterThree Phase Dual System Converter .............................. 166
Povilas Balinas, Povilas NorkeviiusKaunas University of Technology, Lithuania
Assessment of the Reactive Power Flows Impact on the Nodal Prices of Active Power ......................................... 170
Anatolij Mahnitko, Inga UmbrashkoInstitute of Power Engineering, Riga Technical University, Latvia
Measurements of Electrical Drive ........................................................... ................................................................. ... 175Robertas Janickas, Zita SavickienVilnius Gediminas Technical University, Lithuania
Modeling and Analysis of Voltage Unbalance and its Influence on Transmission Network and Power Quality . 179Tanel Sarnet, Jako KilterDepartment of Electrical Power Engineering, Tallinn University of Technology, Estonia
Wind Park and Transmission Network Cooperation Considering Grid Code Requirements ............................. 183Jako Kilter, Edgar Dubbelman, Ivo Palu, Jaan NiitsooDepartment of Electrical Power Engineering, Tallinn University of Technology, Estonia
Transmission Network Development Planning by Using a Cooperative Game Theory Approach ....................... 189
Igor Moshkin, Svetlana Berjozkina, Antans Sauhats
Riga Technical University Riga, Latvia
The Power Distribution in the Electrical Power System Taking into Account Reservation ................................. 195Renata Varfolomejeva, Anatolij MahnitkoRiga Technical University, Latvia
High Temperature Low Sag Conductors as Method for the Improvement of Electrical Transmission Lines ..... 200
Svetlana Berjozkina*, **, Antans Sauhats *, **, Vladimirs Bargels **, Edvins Vanzovichs ** Riga Technical University, Institute of Power Engineering, Latvia; ** JSC Siltumelektroprojekts, Latvia
Supply Voltage Level Optimisation in Low Voltage Networks Using Shunt Capacitors ....................................... 206
Toomas Vinnal, Kuno Janson, Heljut Kalda, Lauri KttDepartment of Fundamentals of Electrical Engineering and Electrical Machines
Tallinn University of Technology, Estonia
Design of High-Frequency Transient Current Sensor for Powerline on-Line Measurement ................................ 212
Lauri Ktt*, Jaan Jrvik*, Jako Kilter*, Muhammad Shafiq**, Matti Lehtonen***Tallinn University of Technology, Estonia; **Aalto University, Finland
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MULTIMODAL AUTOMATION CONTROLLER FOR SMART HOMES
Rytis MASKELIUNAS*, Vidas RAUDONIS*, Grigor STAMBOLOV**, Rimvydas SIMUTIS** Kaunas University of Technology, Lithuania; ** Technical University-Sofia, Bulgaria
Abstract:Authors suggest an approach of a multimodalcontroller based on a client-server architecture running
on a x86 Windows server platform connected to theUSB I/O hardware interface and capable of remotecontrol via web application using speech commands,touch gestures or gaze tracking. The paper presents the
state-of-art situation, the proposed architecture, theassociative control algorithm as well as the initial
experimental evaluation on the recognition accuracy ofthe input modalities analyzed and the effectiveness ofcontrol tasks.
Keywords:HCI, remote, speech, touch, automation.
1. Introduction
Wireless communication of various machines anddevices in mobile communication networks is a fast
growing business and application area. Modern homeautomation systems need to make use of moderntechnological components available, implementingvarious communication capabilities such as GSM,Internet, etc. together with speech recognition and othermodalities. All these techniques can successfully be
merged in a single wireless home automation system [1]offering a low cost, powerful and user friendly way of
real-time monitoring and remote control of a homeenvironment. Another sample design [2] integrates the
device to be controlled, the microcontroller, and theGSM module so that it can be used for a wide range of
applications and is illustrated by two experimentallytested home applications using PC-based equipment. A
home server platform can effectively integrate thefunctions of communication, digital broadcastingreception, and home automation applications providinga client-server model [3].Speech in information services and reading support isconsidered as a most natural modality. In [4] authors
present a case study concerning the design of atelephone-based interface concept for a modular homeautomation system. The evaluation revealed some minor
usability problems indicating a potential to improve thehedonic quality (may be induced by the addition of non-speech sounds and enriching user experience). Other
researchers have explored the possibilities of speech and
gesture based interfaces in desktop scenarios, but it wasalso necessary to explore these technologies in the
context of an intelligent environment, in which theusers focus moves off of the desktop and into aphysically disparate set of networked smart devices [5].
The results of such tests indicate that speech is thepreferred interface for controlling the devices. Moreimportantly, the study indicated that the locationawareness and gaze tracking are vital when building a
usable intelligent environment system for the home,even though users did not perceive added value from
these technologies.Other input modalities such as gesture detection systemcan provide the additional control capabilities. Forexample a solution [6] of a wearable device for control
of home automation systems via hand gestures solutionhas many advantages over traditional home automation
interfaces because it can be used by those with a loss ofvision, motor skills, and mobility achieving 95%accuracy of control gestures and 97% accuracy of user-defined gestures. Authors of [7] present multi-interfacesensor network gateway architecture for homeautomation and other distributed monitoring
applications providing multiple interfaces for supportingvarious application scenarios in home environments,
ranging from on-site configuration to mobile access.Results of the experiment showed that the proposedgateway gives good support to managing the home
network from different user terminals and allows theusers to better interact with the ambient environment.Alternatively in [8] paper intuitive home environment
was proposed and image processing software wasconnected with eye tracking system in order towirelessly control electric devices.Authors of this work present the architecture of theirvery own low-cost remote home automation controlsolution by utilizing a proprietary multimodal control
algorithm on industry standard hardware and softwaresolutions.
2. The concept, architecture and implementation
The inspiration and the concept of a practicalimplementation of a multimodal automation controllercame from a W3C Multimodal Interaction Working
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Group Charter [9]. The upcoming standard envisions thefollowing: extending the Web to allow multiple modesof interaction (GUI, Speech, Vision, Pen, Gestures,Haptic interfaces); Anyone, Anywhere, Any device,
Any time (Accessible through the user's preferredmodes of interaction with services that adapt to thedevice, user and environmental conditions).Basically we consider a model of an interactionillustrated in figure 1.
Fig. 1.Multimodal interaction concept based on a MultimodalInteraction Working Group Charter [9]
A user utilizing modern, web capable computing deviceshould interact with the application using various built-in I/Os and associated modalities, for example speechrecognition, image recognition, touch interactions, etc.
Fig. 2.Our implementation built on a client-server model
The application itself should be built on a multimodalarchitecture thus capable of parsing the semantic
meaning of various input modalities and issuing acontrol action to a connected automation device, such as
a PLC or chip based programmable controllers (e.g.Arduino). Since it is hard to overcome and unify thedifferences in many modern hardware and softwarearchitectures, such as x86 (Windows, Linux), ARM
(Android and iOS) we targeted the client-server modelas the best approach for our implementation (figure 2).
Basically a user uses his/her device only to interact witha system.Our system implementation was based on the above
concept and further built on the basis of our previousexperimentation on multimodal interactions [10].Basically a prototype used was a web interface running
on windows PC based display with built-in webcam,
microphones and speakers. A system was able to gather
a user input via either of affirmed inputs (webcam wasused only for the confirmation (nodding)) and displaythe graphical feedback on screen. With this approach wewent further by moving into an eyes-free interface forhealthy users, by not providing a GUI for the user(disabling the screen on our test device). Additionally a
gaze tracking system was provided for the paralyzedpersons (looking at a designated area divided in to
button like squares). The concept of the proposedalgorithm is shown in figure 3.
Fig. 3.The concept of our algorithm
All input was sent using an internet connection to theserver. Since we had no GUI, naturally all feedback hadto be done via speech. So a Microsoft Speech API [11]was chosen for this purpose. An advantage of thissystem was that it allowed us to insert a custom code(i.e. touch and eye processing) within the Speechapplication framework while still maintaining
compatibility with Microsoft Windows Server IIS basedweb services allowing web interaction (gathering a userinput and outputting a feedback).For the automation tasks we have utilized the PhidgetsI/O hardware with a compatible relay block and theArduino controller for some of the autonomous control
processing. Traditionally the home automation isdivided into four categories by purpose. The firstcategory includes lightening control aimed at turningthe lights on and off remotely. The next categoryinvolves home security integrating a range of security
mechanisms to protect one from intruders by not lettingthem enter premises and issuing alerts. The third
category involves the climate control playing a crucialrole in maintaining the temperature of the roomautomatically and also conserving the energy byswitching the system off when there is no one at home.The last category involves the automation of homeentertainment system by managing music system andtelevision with the use of the multimodal interface. Our
current smart home implementation covers only threetypes of automation categories, i.e., the control oflightening, heating and entertainment system.
3. Control algorithm
The device application was built on three main modules:
gaze (), touch () and voice control () modules10
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and the usage of each in the application is controlled bycoefficients a, b, and c (see formula (1)). The prioritiesof control modalities are identified by the user. Forexample, when interface user chooses to use a speech
modality all other modalities is switched off by settingcorresponding coefficients to zeros, i.e., a, b=0. In thiscase, the control signal is switched from a one modalityto a second modality when control command C is notrecognized.
; (1) 1, 0, 0 1; 0, 1, 0 2; 0, 0, 1 3; (2)Here - is the formal representation of the userselection of the prepared modality.
The simplified algorithm of the touch modality () isshown below, where the user must collect the sequence
of the key numbers which encodes the certain command(). The collecting process is stopped when the userpushes the escape button (ESC).
{ 0;whil TRUE 1; ;if ESC, FALSE;n ;
Here K is the vector of numbers which corresponds to
key number of the button on the interface device, n is
the amount of numbers (or buttons) which user ispressing, is the variable that controls the executionof the while cycle. The cycle is stopped, when userpushes the escape (ESC) button.The simplified principle of the gaze tracking modality
() is shown in the algorithm below, where the usercollects the sequence of the key numbers by gazing. Theuser confirms a selected key button by closing the eye.The collecting process is stopped when a user selectsthe escape button (ESC).
{
0;whil
TRUE
1; ; ;if 0.9, min ;
if ESC, FALSE;n ;
Here - is the normalized luminosity function of thehuman eye image,
- is the luminosity function of the
eye image, - is the number of column of theluminosity function, is the Euclidian distancebetween center coordinates of the gaze point () and thecoordinates of the button area (), is the number of
key buttons, is a correlation coefficient betweenluminosity functions of the real time eye image () andtemplate of the closed eye image ().The simplified algorithm of the speech modality () isshown in the paragraph below, where the user collectsthe sequence coded in key numbers by pronouncing the
required name of the command (or the key sequence).
The collecting process is stopped when a userpronounces the name of the escape function (ESC).The speech recognition of the certain command ornumber is based on a computation of cepstral analysisand correlation used as similarity measure.
{
0;whil TRUE 1; ln ; 1,2, , ; ;
;
; ; max ;if ESC, FALSE;n ;
Here - is the coefficient of the cepstral function, - isthe spectrum of the source signal S(t), - is thecoefficient of the linear propagation model (LPG), -the similarity value between real time cepstral
coefficients () and template commands ().In the next chapter we present the initial experimentalinvestigation of the proposed multimodal controller forsmart home environment control.
4. Experimental setup and investigation
The experimental smart home hardware consisted of aUSB controller with a relay block that commutates table
and ceiling lamps, heating radiator, according theambient sensor and user needs. The automation programis running on the server that receives the commandsfrom the user. The entertainment system consists of two
powered speakers and music software with a playlistcontrol interface (winamp). 10 people have participatedin the experimental investigation. Each user was askedto test the proposed control interface by executing four
tasks (10 times each, presented randomly): (1st) turning
on the table lamp, (2nd) turning on the ceiling lamp, (3rd)increasing the room temperature (setting dial on the
heater to 25 degrees) and (4th) selecting a different song.
The control of the smart environment was achievedusing all three modalities. Acquired results werecompared with a traditional way of the control.Only speech input modality was evaluated at this stage.The relation between speech recognition accuracy and a
specific user is shown in figure 4. Three different curvesrepresent the speech recognition performance in thethree different environments, i.e., noisy, normal andthe controlled environment in the laboratory. As it was
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expected the best performance and accuracy (on average940.2 %) was reached when the experiments weredone in the controlled environment (vs 840,3 % innormal environment). Unfortunately the recognition
accuracy dropped to ~ 500,8 % in the noisyenvironment.
Fig. 4. Speech recognition accuracy in all environmentsanalyzed
The performance of the multimodal control interfacewas evaluated by measuring the task completion time in
seconds (see figure 5). Each of the tasks were selectedto illustrate a different time frame necessary tocomplete. However, the multimodal controller achieved~3,6 x faster performance for the second task and ~2 x
for the third task (~12,75 s by manually turning thelamp and ~23,61 s presetting the regulator on a heater
versus ~3,5 s and ~11,28 s). Another interesting aspectwas that the tasks requiring decision (e.g. which musictrack to select (4
th)) were done in similar time-frame.
Fig. 5.The performance (in time) of a multimodal controller
Each participant was asked to compare and subjectively
rank the satisfactory level of two different controlapproaches on the scale from 0 (worst) to 10 (best). The
results of this survey are illustrated in the figure 6.
Fig. 6. The satisfactory level using two types of interaction,i.e., normal and interface based
All participants have found the multimodal control
interface more convenient than the traditional way of
manual control. The multimodal control interface wasassessed with ~ 8.3 rank values versus ~ 6.2 rank valuesfor the traditional way of control.
5. Conclusions and future works
The results of the experimental investigation showedthat every participant found alternative multimodalspeech based control scheme more convenient (~23%more) and up to ~50 % more efficient way to control the
devices of the smart home.The functionality of the proposed system allowedachieving even better performance in quieter (up to 3times faster in time) environments due to a lowernumber of recognition errors, i.e. ~ 6 %.We plan to update the results in near future with theexperimentation on the effectiveness of remaining
modalities and the adaptation of multimodal interface torecognize the gesture commands using a stereo visiontechnique.
6. Acknowledgements
Parts of this research were funded by the LithuanianScience Council under the Postdoctoral FellowshipImplementation in Lithuania project No.: 20101216-90.
7. References
1. Yuksekkaya B. et al. A GSM, internet and speech
controlled wireless interactive home automation system.IEEE Transactions on Consumer Electronics, Vol. 52
Iss. 3, 2006, p. 8378432. Alheraish A. Design and implementation of home
automation system. IEEE Transactions on ConsumerElectronics, Vol.50, Iss. 4, 2004, p. 1087109
3. Intark Han, Hong-Shik Park, Youn-Kwae Jeong, Kwang-Roh Park. An integrated home server for communication,
broadcast reception, and home automation. IEEETransactions on Consumer Electronics, Vol. 52, Iss. 1,
2006, p. 104-1094. Sandweg N., Hassenzahl M., Kuhn K. Designing a
Telephone-Based Interface for a Home AutomationSystem. International Journal of Human-Computer
Interaction, Vol. 12, Iss. 3-4, 2000, p. 401-4145. Brumitt B., Cadiz JJ. "Let There Be Light!" Comparing
Interfaces for Homes of the Future. Technical Report,
MSR-TR-2000-92, 2000, 10 p.6. Starner T., Auxier J., Ashbrook D., Gandy M. The gesture
pendant: a self-illuminating, wearable, infrared computervision system for home automation control and medicalmonitoring. Wearable Computers, 2000, p. 87-94
7. Guangming Song; Yaoxin Zhou, Weijuan Zhang, AiguoSong. A multi-interface gateway architecture for homeautomation networks. IEEE Transactions on Consumer
Electronics, Vol. 54, Iss. 3, 2008, p. 1110-11138. Kairys A., Raudonis V., Simutis R. iHouse for advanced
environment control. Electronics and ElectricalEngineering, nr. 4(100), 2010, p. 37-42
9. Multimodal Interaction Working Group Charterhttp://www.w3.org/2011/03/mmi-charter.html
10.Maskeliunas R. Modeling aspects of multimodalLithuanian human - machine interface. Multimodal
Signal: Cognitive and Algorithmic Issues. LCNS Vol.5398, 2009, p. 75-82.
11.Dunn M. Pro Microsoft Speech Server 2007: DevelopingSpeech Enabled Applications with .NET, 2007, 275 p.
1 2 3 4 5 6 7 8 9 10
0,00 %
10,00 %
20,00 %
30,00 %
40,00 %
50,00 %
60,00 %
70,00 %
80,00 %
90,00 %
100,00 %
Noisy
Normal
Controlled
Number of the user
Recognitionaccuracy,
[%]
1 2 3 4
0,00
5,00
10,00
15,00
20,00
25,00Normal
Interface based
Task number
Performance,
[sec
]
1 2 3 4 5 6 7 8 9 10
0
2
4
6
8
10
12
Normal
Interface based
Number of participant
Levelofsatisfaction
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IDENTIFICATION OF INTERCONNECTED SYSTEMS
BY INSTRUMENTAL VARIABLES METHOD
Grzegorz MZYK
Wroclaw University of Technology, Institute of Computer Engineering, Control and Robotics, Wroclaw, Poland
Abstract:The paper addresses the problem of parameter
estimation of elements in complex, interconnectedsystems. Similarity between causes of biases in the least
squares estimates for a simple SISO linear dynamic
object, and for a MIMO linear static system with
composite structure, was noticed in the paper. For linear
complex static system, the instrumental variable
estimate was proposed and compared with the least
squares approach. The strong consistency of the
presented parameter estimate was proved. Also the
optimal values of instrumental variables were
established, and the method of their suboptimal
generation was presented. The conclusions were
verified in numerical experiments.
Keywords: System identification, complex systems,
parameter estimation, instrumental variables.
1. Introduction
We consider the problem of parameter estimation in
complex, interconnected systems with the presence of
random noises. In a lot of commonly met hierarchical
control problems, the accurate mathematical models of
the particular system components are needed. Under the
term 'complex' we understand the fact that the system is
built of a number of interconnected components(subsystems), e.g., in the typical production system each
element is excited by the outputs of other blocks (see
[1]). In consequence of mutual interconnections, the
components are dependent and their separation may be
impossible or too expensive. In general, excitations of
particular element cannot be freely generated in the
experiment. It leads to the problem of structural
identifiability (i.e. identifiability of separate elements
does not imply identifiability of the whole
interconnected system [3]) and usually badly
conditioned numerical tasks. Moreover, some
interaction signals are hidden, and cannot be directly
measured. For these reasons, the algorithms dedicatedfor single element cannot be directly applied in complex
system analysis.
Identifiability of the element, which operates in
complex system, depends additionally on the systemstructure and the values of parameters of other
elements. Particularly, the components preceding
identified object must guarantee persistency of the input
excitation. In the paper we apply and compare two
methods least squares (l.s.) and instrumental variables
(i.v.) approach.
It is commonly known from the linear system theory,
that the least squares approach applied for the simple
SISO linear dynamic object leads to biased estimate.
The reason of the bias results from the property of
autoregression, i.e. the correlation between the noise
and the values of previous outputs of the identifiedobject (see the Appendix). Analogously, for the
complex, interconnected systems with random noises,
the least squares estimate has the non-zero systematic
error even if the number of measurement data tends to
infinity. The reason of the bias is that the output noises
are transferred to the inputs through the structural
feedback.
In the paper, the formal similarity of these problems is
shown and the instrumental variables technique, used so
far for the linear dynamics identification, was
successfully generalized for the systems with complex
structure. It is shown that the proposed i.v.estimate is
strongly consistent independently of the systemstructure and the color of the noise. Moreover, the
computational complexity of the method is comparable
with the ..sl algorithm. In Section 2 the identification
problem and the purpose is formulated in detail. Next,
in Section 3, the properties of the least squares based
algorithm proposed in [3] are reminded. In particular,
the reason of its bias is shown, and finally, in Section 4
the new i.v. estimate is introduced and analyzed.
Finally, in Section 5, the performance of the method is
demonstrated by the simulation example.
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2. Statement of the problem
Consider the system shown in Fig. 1. It consists of n
linear elements described as follows
,),...,2,1( niubxayiiiiii
=++= (1)
where
( )
( )
( )Tn
T
n
T
n
yyyy
xxxx
uuuu
,...,,
,...,,
,...,,
21
21
21
=
=
=
(2)
are the external inputs, interaction inputs, and system
outputs, respectively. The processes
( )
( )Tn
T
n
,...,,
,...,,
21
21
=
= (3)
are random disturbances. The block H determines the
system structure in the following way
,iii
yHx += (4)
whereHi is the i-th row of the binary matrixH (i.e.
0, =jiH 'no connection', 1, =jiH 'is connection').
1u
1y
nu
iu
11,ba
nn ba ,
ii ba ,
H
ny
iy
1x
nx
ix
1
i
n
1
i
n
Fig. 1.The complex n-element linear static system
The goal is to estimate parametersn
iiiba
1)},{( = of the
particular elements using the set of data Nk
kkyu
1
)()( )},{( =
collected in the experiment. We emphasize that the
internal excitations )(k
x cannot be measured.
We assume that:
(A1)The structure of the system (i.e. the matrix H ) is
known.
(A2)The system is well defined, i.e. for any ),,( u it
exists unique y (see [3]).
(A3) The noises , and are zero-mean, mutually
independent, and independent of .u
(A4) In the noise-free case ( 0= , and 0= ) the
system would be identifiable (see [3]).
(A5)The excitations are rich enough, i.e. the matrix
( ),,...,,21 NN
eeeE = (5)
where
,and),( +== Aue TTT (6)
is of full rank with probability 1 .
Introducing the matrices
( )
TT
n
TT
n
n
HHHH
bbbB
aaaA
,...,,
),...,,(
),...,,(
21
21
21
=
=
=
(7)
the whole system can be described in the following
compact form
.
+=
++=
Hyx
BuAxy (8)
Inserting x to the first equation in (8) we obtain
( )( ) ,
,
++=
+++=
ABuyAHI
BuHyAy (9)
which leads to
GKuy += (10)where
.)(
,)(1
1
GBBAHIK
AHIG
==
=
(11)
The equation (10) resembles description of the object
with the input u , the output y , the transfer matrix K,
and the noise G . Invertibility of )( AHI in (11) is
equivalent to assumption (A2).
3. Least squares approach
Introducing the vectors of input-output data of i -thelement
,),(where
,],...,,[
,],...,,[
)()2()1(
)()2()1(
T
iii
N
iiiiN
N
iiiiN
uxw
wwwW
yyyY
=
=
=
(12)
we obtain the measurement equation
.),(iiNiiiN
WbaY += (13)
Since the inputi
x included ini
w is unknown (cannot
be measured), the least squares estimate cannot be
derived directly from (13). Owing to (4) the natural
substitution is
( , ) , where .T
i i ii i i iw x u x H y x = = =
(14)It leads to the following least squares estimate
( )1
. . . .
( , ) ,T Tl s l s
i i iN iN iN iNa b Y W W W
=
(15)
where
(1) (2) ( )
[ , ,..., ].N
iN i i iW w w w= (16)
Remark:The estimate (15) originates from the modified
version of measurement equation (13), in whichiN
W
was substituted with WiN( , ) .iNiN i i iN Y a b W = + (17)
Consequently, in (17) the disturbance
],...,,[ )()1()1( NiiiiN
= (18)
appears instead ofiN
. The situation is similar to the
problem of identification of the simple linear dynamics
with autoregression (see example in the Appendix). It
was shown in [3], that because of correlation between
the elements ofiN
and WiN, the estimation error
( )1
. . . .
( , ) ( , )Tl s l s
i i iN iN iN i i iN a b a b W W W
=
(19)
does not tend to zero, as N .
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4. Instrumental variables approach
To solve the problem shown in the above Remark we
propose the analogous strategy as for the SISO dynamic
system identification (see e.g. [2] and [7]), i.e.,
generalization of (15) to the following form
( )
1. . . .
( , ) ,Ti v i v T T
i i iN iN iN iN a b Y W
=
(20)
where
],...,,[ )()2()1(N
iiiiN = (21)
is the additional matrix of instrumental variables, of the
same dimensions as WiN, i.e.
( ) ., )(2,
)(
1,
)( Tk
i
k
i
k
i = (22)
We impose the following two conditions oniN
:
(C1) The instrumental variables1,i
, and2,i
are
correlated with the inputi
u , such that
( )( )
1
1 1 TNT k TT kiN i iiN i i
k
W w E w
N N
=
= (23)
with probability 1 , as N , and the limit matrix
Eiw iT
is of full rank.
(C2)Simultaneously,1,i
, and2,i
are not correlated
with the aggregated output noisei
, i.e.,
,NiiN
EL= (24)
where
,0
0
=
i
i
iI
L (25)
and
.]0,...,0,1,0,...,0[=i
I (26)
Theorem: If the instrumental variables matrix
iN
fulfils (C1)and (C2)then. . . .
( , ) ( , )i v i v
i i i ia b a b
(27)
with probability 1 , as N .Proof:The estimation error has the form
( )
. . . .
1
1
( , ) ( , )
1 1
i v i v
i i i i
T TiNiN iN iN
T TiNiN iN iN
a b a b
W
WN N
= =
= =
=
(28)
where
iN i NW F E= (29)
and
.0
=
i
ii
iI
GHKHF (30)
Since, according to (C1) and (C2) it holds that
,1 ,1
,2 ,2
( , ) ( , )1,
( , ) ( , )
10,
i i i iTiN iN
i i i i
T
iN iN
x uW
N x u
N
(31)
from the Slutzky theorem we conclude (27).In real applications the procedure ofiN
-generation is
of fundamental meaning. Let us introduce the quality
index of instrumental variables
( ).)()()()(max iN
T
iNiNiNQ == (32)
The following theorem holds.
Theorem: The optimal instruments with respect to the
value of )(iN
Q has the form
,)|(where,),( KuHuxExuxwiii
T
iiii ==== (33)
i.e.,
.KHii = (34)Proof:
It is obvious that
( , ) ( , ) ( , ) ,i i ii i i i i i i i i i i iy a b w a b w a H G a b w z = + = + + = + whe
reiiii
GHaz += is a zero-mean disturbance,
uncorrelated with the elements of the 'expected' input
vector iw .
According to (28) we obtain that
1 1
1 1( ) ( )
1 1
1 1,
T T
iN iN iN iN
TT
iN iN iN iN
T
iN iN
N N
W WN N
N N
=
(35)
and making use of the property that
( ) ( ),)()()()(maxmax iNiN
T
iN
T
iN = (36)
for N large and ],...,,[)()2()1( N
iiiiNiNwwwW == we
simply get
.1
)(
1
max i
T
iNiNiNWW
NQ
= (37)
Under Lemma 6 in [4], for eachiN
it holds that
)()(iNiN
QQ (38)
with probability 1.Since the matrix K is unknown, the result (33) is not
constructive, but gives the general concept of using the
estimates of the noise-free interactionsi
x . In the
simulation we used the approximation of K obtained
by the least square method and implemented the
recursive version of the algorithm
. . . . . . . .
( ) ( 1)
. . . . ( )( ) ( )
( 1) ,
( , ) ( , )
( , ) ,T
i v i v i v i v
i i i ik k
i v i v k k k
i i ii k i i k
a b a b
y a b w P
= +
+
(39)
where
( ) ( )
, 1 , 1 , 1, ( )( )
, 1
.1
T
T
kk
ii k i k i i k i k k
kii i k
P P w PPP w
=
+ (40)
5. Simulation example
In this section we present the performance of the
algorithm on the example of the simple, two-element
cascade system with feedback (see Fig. 2). We set
)1,1(),(11 =ba , and )2,2(),(
22 =ba and the
interconnections are coded as follows
.01
10
=H (41)
The system is excited by two independent uniformly
random processes )1,0(,21
Uuu , and disturbed by
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zero-mean noises )1.0,1.0(,21
U . For both
elements, the instrumental variables estimates are
computed and compared with the least squares results.
1u
2u
11,ba
22,ba 2y
1x
12 yx =
2
1
Fig. 2.The two-element cascade system with feedback
In Fig. 3 we present the Euclidean norm of the error for both algorithms.
0
0,01
0,02
0,03
0,04
0,05
0 100 200 300 400 500 600 700 800 900 1000
least squares
instrumental variables
Fig. 3. The estimation error versus number ofobservationsN
6. Summary
The idea of instrumental variables estimate was
successfully generalized for the complex,
interconnected systems. Since the production and
transportation systems usually work in steady state, welimited ourselves to the static blocks. However,
generalization for the FIR linear dynamic components
seems to be quite simple. For details, we refer the reader
to [6], where similar approach was applied for
identification of interconnected Hammerstein systems
(see Fig. 4).
ku ky
kz
kw( ) { }nii 0=
( ) { }p
jj 1=
kw'
kv
kv'
Fig. 4.The NARMAX system
In the contrary to the traditional least squares approach,
the proposed algorithm recovers true parameters of
subsystems. General conditions are imposed on the
instrumental variables for the estimate to be consistent,
and then the form of optimal values of instruments is
shown. We emphasize that the method works for any
structure of the system and for any distribution of the
random noises.
7. Appendix
In this section the subscript k is used for the time
instant. Consider the simple AR(1) linear dynamic
object with the inputk
u and the outputk
v , disturbed by
the random processk
, i.e.
.and,1 kkkkkk
vyavbuv +=+= (42)
Since the noise-free outputk
v is unknown, we must
base on the difference equation describing dependence
betweenk
u and the measured output
,),(1 kkkkkk zbazaybuy +=++= (43)
whereT
kkkuy ),(
1= and the resulting disturbance
1= kkk az is obviously correlated with 1ky ,
included in the generalized 'input'k
.
8. Acknowledgement
This research was supported by Polish National Science
Centre, Grant No. N N514 700640
9. References
1. W. Findeisen, F. N. Bailey, M. Brdy, K.
Malinowski, P. Tatjewski, A. Woniak, Control and
Coordination in Hierarchical Systems, Wiley, New
York, 1980.
2. Greblicki, W., Mzyk, G. Semiparametric approach
to Hammerstein system identification, In:
Proceedings of the 15th IFAC Symposium on
system Identification, Saint-Malo, France (2009)
1680-1685.
3. Z. Hasiewicz, "Applicability of least-squares to the
parameter estimation of large-scale no memory
linear composite systems", International Journal of
Systems Science, vol. 12, pp. 2427-2449, 1989.4. Z. Hasiewicz, G. Mzyk, "Hammerstein system
identification by non-parametric instrumental
variables",International Journal of Control, vol. 82,
No. 3, pp. 440-455, 2009.
5. M. D. Mesarowic, D. Macko, Y. Takahara, Theory
of Hierarchical, Multilevel Systems, Academic
Press, New York, 1970.
6. G. Mzyk, "Application of instrumental variable
method to the identification of Hammerstein-Wiener
systems", Proceedings of the 6th International
Conference on Methods and Models in Automation
and Robotics, vol. 2, pp. 951-956, Midzyzdroje,
Poland, 2000.7. G. Mzyk, "Nonlinearity recovering in Hammerstein
system from short measurement sequence", IEEE
Signal Processing Letters, vol. 16, No. 9, pp. 762-
765, September 2009.
8. P. Stoica, T. Sderstrm, "Instrumental variable
methods for system identification", Circuits Systems
Signal Processing, vol. 21, No. 1, pp. 1-9, 2002.
9. R. Ward, "Notes on the instrumental variable
method",IEEE Transactions on Automatic Control,
vol. 22, pp. 482-484, 1977.
10. K. Y. Wong, E. Polak, "Identification of linear
discrete time systems using the instrumental variable
method",IEEE Transactions on Automatic Control,
vol. AC-12, No. 6, pp. 707-717, 1967.
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INVESTIGATION OF AUTOMATIC CONTROL SYSTEM
IN WOOD DRYING FACILITIES
Bronius KARALINAS*, Dalia LUKOIEN*, Liudmila ANDRIUIEN***Vilnius Gediminas Technical University, Lithuania
**Vilnius College of Technologies and Design, Lithuania
Abstract: The article analyses the automatic controlsystems in modern wood drying facilities as well astheir functions and possibilities.The analysis of the publications available [1, 2, 3]indicates that nowadays there are widely applied in ourcountry various types of wood drying facilities withdifferent level of automation. Although the possibilitiesof the fully computer-assisted control systems at thewood drying facilities are considered to be ratherextensive, but in the scientific publications availablethere has been noticed the shortage regarding theinformation on the structure of the systems, thealgorithm concerning the manufacturing processes,
programs, sensors and their interrelation andcorrelation.
Keywords: wood drying facility, automatic control,programmable logical controller, frequency converter,temperature, moisture, humidity, algorithm, heating.
1. Introduction
At present, in our country a huge amount of wood hasbeen processed by an industrial method, but the woodprocessing plants are not able to do without theupgraded wood drying facilities and equipment. Drying
of wood has been considered a complicated physicalprocess, which could be described as the interchange ofmass and heat in the wood and in the surroundingenvironment. The quality of drying depends on themajority of factors: the sort of wood, dimensions, thesize of the stocks, the technology applied in the dryingchambers and the level of the automation systemsinstalled [4].Wood drying could be carried out by means of thefollowing methods, namely, drying in chambers, dryingin the field of high frequency currents, drying by meansof infrared rays, drying in solutions and thermal drying[1, 2]. The most widely approved method is drying inspecial drying chambers under the natural andcompulsory circulation. Such type of chambers arecalled drying rooms. They are of two types [4]:
convection ventilation facilities; condensation facilities where there are preserved aclosed cycle of air circulation.Closed joint stock company ,,Lietmedis has proposeda new method of wood drying which consumes 10 timesless heat energy [5]. The convection condenser typedrying rooms were designed and introduced to serve thementioned above purpose, where the surplus humidityof the circulating air is condensed on the tubes of thecondenser. Then the heated water proceeds into theheater located in the manufacturing premises and heatsthe premises. There it is cooled down and then it isreturned into the tubes of the condenser located in the
drying room. The circulation pumps are installed insuch type of drying rooms. Thus, the whole heat energyaccumulated in the drying room is used efficiently.The purpose of the work is to analyse the automatedcontrol systems installed in modern wood dryingfacilities and present the description of thecharacteristics of the drying process.
2. The functional scheme of the control in the wood
drying room
The functional control schemes applied in theconvectional and condenser type drying rooms are verysimilar, but they differ by the installations andequipment assembled in them. The diagram in Fig.1displays the functional scheme of the system.The references indicated in this scheme Fig.1 have thefollowing meanings:VO the object of the control (pile of wood);VKD the equipment for the performance of operations(actuators);JUT sensors;
NKR the scheme for determining the deviations of theprogram concerning temperature, relative humidity,moisture of wood;SL the thresholds of decision making;SPR1 the scheme of decisions determining the logicaldeviations of the process;
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Fig. 1 Functional control scheme used in the drying room
SPR2 the scheme of decisions forming the controlsignals of actuators;ROM the memory of the programs;VLD the scheme of the management of the control
programs;TMR is a stopwatch, performing the intervals of thecontrol signal, periods and duration.
The major equipment executing the processes in thecondenser type drying rooms are considered to be air
drying devices, which condense humidity and heat the
air, which is blown through them. Such devices at thebeginning of the drying process could eliminate morethan 500 litres of the condensate during the day andnight [4]. Besides that, in the automated drying roomsthere are required the controlled air vent valves in thechambers and the humidifying valves. The condensertype drying rooms have to be ventilated, when changingfrom the mode of wood steaming into the mode ofdrying. Such chambers are humidified when changingfrom drying mode into the steaming mode or when lessmoisture is disposed from the drying wood. All thedrying modes have to be controlled automatically.In modern drying rooms, there are used two circuit
control systems. One circuit is used to control theprogram, taking into consideration the time or realmoisture of the wood, the other circuit has to keep therequired accuracy when satisfying the pre-set values inthe program (temperature, relative air humidity etc.)
3. Determining the parameter deviations of the
drying process
During the process of manufacturing, there appear thedeviations of the microclimate parameters of the dryingroom from the pre set allowable limits of the control
program. The deviations could be eliminated by
applying at least three impacts directed towards eachother. In the condenser type drying rooms such impactsare considered to be the following, namely the heatingof the chamber, the condensation of the humidity,
watering, but in the convection type drying rooms airventilation is used as well.Various sensors and their versions keep watch andmonitor the parameters of the drying process. Theinformation received from the sensors is applied in thecompiling of the algorithm and the control program ofdrying as well as the determining of the allowabledeviations of drying parameters depends on theinformation obtained. The temperature of the dryingroom and the deviations of the relative air humidity aredetermined by the following methods [1]:
direct method, when the sensors of airtemperature and relative humidity of the dryingchamber are used:
k pT T T ; (1)
k p ; (2)
where kT and pT is air temperature in the chamberand in accordance with the program;
k and
p is
the relative air humidity in the chamber and accordingto the program.
indirect method, when the signals of the sensorsof air temperature and relative moisture are applied:
k pT T T ; (3)
pk ppW W , when 0T ; (4)
where pkW and ppW is the equilibrium moisture ofwood in the chamber and set in the program.
indirect method, when the signals of thethermometers indicating dry and humid air are used:
ks psT T T ; (5)
when T 0
( ),
ps pd ks kd
p ks kd
T T T T
T T T
(6)
where ksT and psT are the readings of the dry air
thermometers in the chamber and according to theprogram; kdT and pdT are the readings of the humid
air thermometers in the chamber and according to theprogram; pT the psychometric difference of
temperatures according to the program.When applying the first direct method, the determiningof the deviations of the temperature and relativehumidity is considered the most accurate and they donot depend on each other. According to the values of thedetermined deviations T and there are compiled
the areas of the allowable small and large deviations for
the other parameters of the drying process. Thesecalculations are required for compiling the algorithm ofthe control of the drying room and the program.
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4. Selection of the sensors and performing devices
The technological process of wood drying consists ofseveral stages: warming up, initial steaming, one orseveral drying stages, final steaming and drying as wellas quenching. There are sometimes used the transitionalstages of steaming as well as the other drying stages.To measure the temperature in the drying chambersthere are applied expansion, manometric, electricresistance thermometers, thermoelectric and radiation
pyrometers. The temperature measuring devices andregistering equipment are presented in Fig.2.
Fig. 2. Temperature measuring devices
To measure the humidity in the chambers there are usedtwo main methods:
psychometric is meant to measure humidity athigher temperatures (up to 1000C);
hydroscopic is meant to measure humidity at
lower temperatures.At present, there are available humidity meters used formeasuring the moisture in wood, humidity in the
premises and the air of the environment. They arepresented in Fig.3.
Fig. 3. Wood moisture meters
The computer assisted system in the wood dryingfacility regulates the flow of air, by changing thevelocity of ventilators, when their motors are controlled
by the frequentative method.When selecting the electric motors for the ventilators ofthe convection ventilated type of drying rooms, it isimportant to evaluate the fact that motors have to workin hot and humid environment. In the ventilated drying
chambers, the temperatures of air and steam amount to(60 80)0 C. Because of that, the motors operating witha nominal load tend to be overheated and that is themain reason for the breakdowns appearing in the
ventilated drying rooms. The standardised electricmotors are applied in operation when the surroundingtemperature is +400 C. In case, the environmentaltemperature of the motors during the operation is higherthan +400C, then according to the requirements of thestandard [6] the superheat temperature of the insulationmaterials of the motors has to be reduced by theenvironment temperatures difference. Then in order tokeep the nominal operational efficiency of theventilators it is necessary to select higher capacityelectric motors.
5. The dynamic characteristics of wood
drying process
The computerized control systems nowadays applied inwood drying facilities are able automatically control andmonitor all the stages of drying. The total process ofwood drying may consists of 12 stages. For example,the new system EASY NEW is able to control at a time
even 32 drying chambers [7]. In the memory of thecomputer, dealing with the automatic control, there arestored many different programs of drying intended andspecified for every sort of wood. When selecting boththe mode of drying and the program there is determinedthe sort of wood, its thickness, and the size of theloading, the final humidity and other parameters.The wood drying computer program within the pre settime intervals via the consecutive communicationinterface RS485 collects all the data of the sensors fromthe drying chamber and processes it. The data of themeasurements are accumulated and stored in thememory and within the real time are displayed on the
screen of the monitor. It is possible to supervise theinstantaneous values of the drying parameters in theform of tables and curves. The program automaticallyregisters and displays all the dynamic characteristics ofthe drying process.The diagrams of the processes executed in the dryingroom, are presented in Fig.4. Fig.5 presents thedynamic characteristics when drying 30 mm thicknessoak boards.
Fig. 4.The diagrams of the processes held in the drying room:1 the set temperature; 2 the real temperature; 3 theaverage moisture of wood; 4 the average air humidity; 5 the equilibrium air humidity
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Fig. 5. Drying characteristics for 30 mm thickness oakboards: 1 the set temperature; 2 real temperature in thechamber; 3, 4, 5 the curves of wood moisture; 6 theaverage air humidity; 7 the equilibrium air humidity
In Fig. 4 presented curves indicate that when drying the
moisture evaporates from the wood (curve 3), the air inthe chamber fills with water vapour and its temperatureis reduced (curve 2). Then wood stops drying. To
prolong the drying process it is necessary to increasethe temperature in the chamber as indicated in curve 2.In the control algorithms of the drying rooms there is
provided the possibility for the automatic system toreact to the deviations from in the program set
parameters of the drying processes. In case, the airtemperature in the chamber is lower, but the relativehumidity is higher than the standard, then within certainintervals the heating of the chamber is switched offautomatically. The mentioned above drying processes
are presented in Fig. 6.
Fig. 6. The diagrams exhibiting the change of heatingintensity of the chamber: 1 real temperature in the chamber;2 the set temperature; 3 the average wood moisture; 4 heating at certain periods of time; 5 the average air humidity
The decrease of wood moisture in the convectionventilated drying rooms is controlled through the valvesof fresh air. When air moisture in the chamberdecreases more than it is allowable, then the watering ofthe chamber is automatically switched on. Thecomputerassisted program controls these processes aswell.
6. Conclusions
1. Our country is extensively implementing varioustypes of wood drying facilities with different levelsof automation. However, there is a shortage ofinformation concerning the structure of the controlsystem for drying rooms, the algorithms ofoperation, programs, performing devices, sensorsand the other interrelated facilities.
2. From all the wellknown methods of wood drying,the best and the most efficient is considered to bethermal drying in special chambers, equipped withthe automatic control systems able to carry out allthe available stages of drying.
3. Closed joint stock company ,,Lietmedis hasintroduced the convection condenser type dryingrooms with the closed cycle of air and hot watercirculation. Because of that, the losses of heatenergy have been reduced and all the heat energyaccumulated in the drying room has been applied
efficiently.4. Modern computerized control systems available atwood drying facilities operate using the specifieddrying programs compiled individually for each sortof wood and they are able to control all the stages oftechnological process. The new system EASY
NEW manages to control at a time even 32 dryingchambers. The automated control systems applyvarious programmable logical controllers; however,the most popular are controllers from Germancompany ,,GANN HYDROMAT TK MP.
5. The results of the maintenance of the drying roomsindicate that the electric motors of the ventilation
devices tend to go breakdown most often becausethey operate under hot environmental conditions(60 80)0C. Following the requirements forstandard IEC 60034 -1, the ventilators operatingunder the mentioned above environmentalconditions have to be selected when motors bearhigher capacities by (20 30)%.
7. References
1. Kajalaviius A., Albrektas D. The ChamberConvection Drying of the Sawn Timber. Kaunas:Technologija, 2010. 212 p. (in Lithuanian).
2.
Hill C. A. S. Wood Modification: Chemical,Thermal and other Processes. Series: Wiley Seriesin Renewable Resources, Chichester, Sussex, UK,2006. 260 p.
3. Ciganas N., Raila A. Influence of Ambient Air onthe Drying Process of the Stored Wood Chips.Agricultural Engineering. Research Papers. 2010.Vol. 42, No. 4. P.71 85.
4. Kajalaviius A., Albrektas D. Hydrothermal WoodProcessing Theory and Equipment. Kaunas:Technologija, 2008. 120 p. (in Lithuanian).
5. http://www.lietmedis.lt/index_en.php.6. International standard IEC 60034-1. Rotating
Electrical Machines. Part 1. Rating andPerformance. 2004. 139 p.7. http://www.idna.lt/dziovyklos/easynew.html.
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ARTIFICIAL INTELLIGENCE APPROACH TO SoC ESTIMATION FOR SMART
BMS
K.L. MAN1,2,3, C. CHEN5, T.O. TING1, T. KRILAVIIUS3,4, J. CHANG6and S.H. POON71Xi'an Jiaotong-Liverpool University, China; 2Myongji University, South Korea; 3Baltic Institute of Advanced
Technology, Lithuania; 4Vytautas Magnus University, Lithuania; 5Global Institute of Software Technology, China;6Texas Instruments, Inc, USA;
7National Tsing Hua University, Taiwan
Abstract: One of the most important and indispensableparameters of a Battery Management Systems (BMS) isaccurate estimates of the State of Charge (SoC) of thebattery. It can prevent battery from damage or
premature aging by avoiding over charge/discharge.Due to the limited capacity of a battery, advancedmethods must be used to estimate precisely the SoC inorder to keep battery safely being charged anddischarged at a suitable level and to prolong its lifecycle. In this paper, we review several effective
approaches: Coulomb counting, Open Circuit Voltage(OCV) and Kalman Filter method for performing the
SoC estimation; then we propose Artificial Intelligence(AI) approach that can be efficiently used to preciselydetermine the SoC estimation for the smart batterymanagement system as presented in [1]. By using our
proposed approach, a more accurate SoC measurementwill be obtained for the smart battery management
system.
Keywords:battery management systems (BMS), state ofcharge (SoC), artificial intelligence (AI).
1. Introduction
In the modern society, environment and transportationproblems are the main challenge for many countries.
Due to the increasing awareness of global warming, the
requirements for clean fuel are on the rise. Thus, there is
a continuous shift towards the Electric Vehicles (EVs)
and Hybrid Electric Vehicles (HEVs) [1]. Moreover,
battery-powered electronic devices have become
ubiquitous in modern society. Rapid expansion of the
use of portable devices (e.g. laptops, tablet computers
and cellular phones) creates a strong demand for a large
deployment of battery technologies at an unprecedented
rate. In addition, distinct requirements for batteries, such
as high energy storage density, no-memory effect, lowself-discharge and long cycling life, have drawn explicit
attention recently. Due to the above-mentioned facts,
Battery Management Systems (BMSs) become
indispensable for modern battery-powered applications
[11-13].
A BMS does not only monitor and protect the battery,but also provide the guidance on optimal usage of thebattery. One of the most important and indispensable
parameters of a BMS is to accurately estimate the Stateof Charge [5] of the battery. The SoC is defined as the
present capacity of the battery expressed as a percentageof some reference. Due to the limited capacity of abattery, advanced methods must be used to estimateprecisely the SoC of the battery in order to keep it safelybeing charged and discharged at a suitable level and to
prolong the life cycle of the battery. However, themeasurement of SoC is not a trivial task, because oneshould also consider the battery voltage, current,temperature, aging and so on. Accurate SoC estimationcan prevent the battery from damage or rapidly agingdue to unwanted overcharge and overdischarge on thebattery.
The conventional SoC estimation method such asCoulomb counting [3] suffers from an erroraccumulation glitch which leads to inaccurateestimation [2]. In addition, the finite battery efficiency[2] and the chemical reaction taking place during chargeand discharge cause temperature rise and badly
influence the SoC estimation. Therefore, efficientalgorithms are definitely needed for the accurate SoC
estimation. Furthermore, neither Coulomb counting norvoltage measurement alone is sufficient for highaccuracy SoC estimation, because the estimation of SoCis strongly influenced by many other factors such ascharge/discharge rates, hysteresis, temperature, cellaging, etc.
Asmart BMS for aged batteries and multi-cell batterieswas presented in [1] which aims to meet the followingrequirements:
Accurate estimation of SoC prevents battery
damage or premature aging by avoiding unsuitableover charge and over discharge.
SoC can be effectively used to deduce how wellthe battery system is functioning relative to its
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nominal (rated) and end (failed) states.
The battery aging process needs to be reduced byconditioning the battery in a suitable manner (e.g.through controlling its charging and dischargingprofile), under various load conditions and harshenvironments.
Hardware implementation of the BMS is flexible
and adaptable in both Application-SpecificIntegrated Circuit (ASIC) and Field ProgrammableGate Arrays (FPGA) technology.
In this paper, we propose an Artificial Intelligence (AI)approach [15] that can be efficiently used to precisely
determine the SoC estimation for the smart batterymanagement system.This paper is organized as follows: Section 2 presentsand discusses several techniques that have been widelyapplied for the battery SoC estimation. Our intended AIapproach for estimating the SoC of the smart battery
management system is outlined in Section 3.Concluding remarks are given in Section 4 and
directions for future work are pointed out at the samesection.
2. Battery SoC Estimation
Many techniques have been proposed previously to
estimate the SoC of battery cells or battery packs, eachof them has merits and demerits.
2.1. Current Based SoC Estimation
Current based SoC estimation is also known as
Coulomb Counting [3-7], which takes integration of
current and time into account to estimate SoC. CoulombCounting requires an initial state namely SoC0, and ifthe initial state of the battery is known, from then the
SoC can be calculated though this method.For example, the initial state is SoC0, using I amperecurrent to charge the battery for thours, that will addI*tAh charge in the battery. Also, if the capacity of thebattery is C, then the final SoC can be calculated asfollows:
SoC SoC
(1)
Fig. 1. Estimating SoC by using Coulomb Counting
According to theory, if a battery was charged for 3
hours at 2A, the same energy can be released whendischarging. However, this is not the case in reality. Nomethodology is perfect. For instance, CoulombCounting suffers from a drift over time. As mentioned
in [3], battery aging causes a gradual small and constanterror in the variable. The small and constant errorcauses a tiny error for measurement of current, whichwill be magnified during each charging and dischargingcycle and will result in the SoC drift. Therefore, if thereis a way to re-calibrate the SoC on a regular basis, such
as reset the SoC to 100% when the battery is fullycharged, Coulomb Counting can be used to accurateestimate SoC and often enough to overcome drift.
2.2. Voltage Based SOC Estimation
There are already many applications that measure theSoC based on voltage, such as the charge balance shown
in cellular phones. The voltage is firstly measured andthen converted to SoC. When the battery is discharging,
the voltage drops more or less linearly [4]. In practice,there are two cases for the Lead Acid battery and theLi-ion battery [6]. For the Lead Acid battery, thevoltage diminishes significantly when it is discharged as
shown in Fig. 2 [4].However, the voltage is significantly affected by thecurrent, temperature, discharge rate and the age of cell.These factors need to be compensated, in order toachieve a higher accuracy of SoC.For the Li-ion battery, there are very small changes for
voltage between each charging and discharging cycle asshown in Fig.3. Due to the constant voltage of Li-ionbattery, it is difficult to estimate the SoC by voltage
based method. However, the voltage of the Li-ionbattery changes significantly at both the ends of SoCrange, which can be two important indicators ofimminent discharge. For instance, for many applicationsan early warning is required before the battery is
completely discharged or empty.
Fig. 2. The relationship between Voltage and SoC in Lead
Acid battery
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Fig. 3. The relationship between Voltage and SoC in Li-ionbattery
2.3. Extended Kalman Filter
In 1960s, Kalman Filter theory was proposed [9] toaccurately estimate the state for the linear systems,especially for systems with multiple inputs, byremoving unwanted noise from a set of data. However,for the systems with specific requirements, such asnon-normality and non-linearity, the application of theKalman Filter method is not feasible.
Due to the time-variance, nonlinear model of the battery,noise assumption and the measurement error of theBMS, extended Kalman Filter (EKF) [14] is used toestimate the SoC for these nonlinear battery systems.With EKF method linearization process are used at eachtime step to approximate the nonlinear system with a
linear time-varying system [10]. EKF becomes anelegant and powerful solution to estimate the SoC.
3. Artificial Intelligence Approach to Estimate SoC
The battery pack charge and discharge processes are socomplex that it is essential to consider many factorssuch as cell voltage, current, internal impedance and
temperature gradients [16]-[18]. The battery packconnected in series presents a more complex problem.Careful monitoring and control is necessary to avoidany single cell within a Li-ion battery pack fromundergoing over-voltage or under-voltage. In a Li-ion
battery module-management system, the individualbattery SoC must be monitored because of overchargeand over-discharge issues. Therefore, it is essential tohave methods capable of estimating the battery SoC.As mentioned above, Kalman Filter (KF) is a powerfultool for the state estimation of systems. Some researchhave used this filter to estimate the open-circuit voltage
or other parameters of batteries that have a directrelationship with the SoC [19]. In [20, 21] the KF is
employed to estimate some physical quantities, whichhave direct effects on the SoC.To achieve the accurate estimation of SoC, ArtificialNeural Networks [22] (ANN) and Fuzzy Logic [23]
systems have been treated as the universalapproximators. Many techniques have been developed
to approximate the nonlinear functions for practical
applications [24, 25]. The BMF constructed in [24]possesses the property of local control and has beensuccessfully applied to Fuzzy Neural Control [26]. Also,the hybridization of fuzzy logic with ANN has been
used to improve the efficiency of function estimation.For instance, Fuzzy Neural Networks (FNN) have beenused in many applications, especially in identification of
unknown systems. The FNN can effectively model thenonlinear system by calculating the optimizedcoefficients of the learning mechanism [26-30].
The adaptive Neural Fuzzy method was proposed in[31] to estimate battery residual capacity. Although theestimation of battery residual is accurate, the algorithmutilizes the least-square method to identify the optimalvalues and hence, learning rate is computationallyexpensive; much time is wasted in training an ANN. Amore practical approach, called merged-FNN for SoCestimation is proposed in [32]. In merged-FNN, the
FNN strategy is combined with Reduced-form GeneticAlgorithm (RGA) [33] which performs effectively on
SoC estimation in a series-connected Li-ion batterystring. The merged-FNN achieved a faster learning rateand lower estimation error than the traditional ANNwith a back-propagation method.
Due to the above-mentioned facts, it is not hard to seethat AI is a promising approach for fast, precise andreliable SoC estimation.
4. Conclusions
An overview of current techniques for battery State ofCharge SoC (SoC) estimation has been given. Anintended Artificial Intelligence (AI) approach that can
be efficiently used to precisely determine the SoCestimation for a smart battery management system hasbeen presented. Our future will focus on theimplementation of a new AI technique to accuratelyestimate the SoC of various types of batteries.
5. Acknowledgment
The research work presented in this paper is partiallysponsored by SOLARI (HK) CO (www.solari-hk.com)and KATRI (www.katri.co.jp and www.katri.com.hk).
6. References
1.
Chen C., Man K.L., Ting T.O., Chi-Un Lei,Krilaviius T., Jeong T.T., Seon J.K., Sheng-UeiGuan and Prudence W.H. Wong, Design andRealization of Smart Battery Management System,Iin proceedings of the IAENG InternationalMultiConference of Engineers and Computer
Scientists - IMECS'12, Hong Kong, 2012, p.1173-1176.
2. Cheng K.W.E., Divakar B.P., Hongjie Wu, KaiDing, Ho Fai Ho. Battery-Management System(BMS) and SOC Development for ElectricalVehicles. Vehicular Technology, IEEE
Transactions on,vol.60, no.1, 2011, p. 76 883. Battery Management Systems (BMS).http://www.mpoweruk.com.
23
8/10/2019 Proceedings ECT 2012
24/277
4. White Paper - Estimating the State Of Charge ofLi-Ion batteries.http://liionbms.com/php/wp_soc_estimate.php
5. State of Charge.
http://en.wikipedia.org/wiki/State_of_charge6. How to Measure State-of-charge.
http://batteryuniversity.com/learn/article/how_to_measure_state_of_charge
7.
Zhiwei He, MingyuGao, JieXu. EKF-Ah BasedState of Charge Online Estimation for Lithium-ion
Power Battery. Computational Intelligence andSecurity, 2009. CIS '09, 2009 p. 142 145
8. Christianson C.C., Bourke R.F. Battery state ofcharge gauge. US Patent 3,946,299, filed 11Feb.1975
9. Kalman R. A new approach to linear filtering andprediction problems, Transactions of theASMEJournal of Basic Engineering, vol. 82,
1960, p. 3545.10. Bucy R., Kalman R., Selin I. Comment on the
Kalman filter and nonlinear estimates ofmultivariate normal process. IEEE Transactions onAutomatic Control. Vol. 10, p. 118-119.
11. Duryea S., Islam S., Lawrance W. A battery
management system for stand-alone photovoltaicenergy systems. IEEE Ind. Appl. Mag., vol. 7, no.3, 2001, p. 6772.
12. Hauck B. BATTMANA Battery ManagementSystem, Milan, Italy, 1992.
13. Affanni A., Bellini A., Franceschini G., Guglielmi
P., Tassoni C. Battery choice and management fornew-generation electric vehicles. IEEE Trans. Ind.Electron., vol. 52, no. 5, 2005, p. 13431349.
14.
Extended Kalman Filters. Wikipedia.http://en.wikipedia.org/wiki/Extended_Kalman_filter
15. Cai C.H., Du D., Liu Z.Y. Battery state-of-charge(SOC) estimation using adaptive neuro-fuzzy
inference system (ANFIS). in Fuzzy Systems,2003. FUZZ '03. The 12th IEEE InternationalConference, vol.2, 2003, p. 1068-1073.
16. Caumont P., Moigne Le, Rombaut C., Muneret X.Energy gauge for lead-acid batteries in electricvehicles. IEEE Trans. Energy. Convers., vol. 15,
no. 3, 2000, p. 354-360.17. Garche, J., Jossen A. Battery management systems
(BMS) for increasing battery life time. In proc. ofthe 3rd Int. Conf. Telecommunications EnergySpecial, Dresden, Germany, 2000, p. 81-88.
18. Nagasubramanian G., Jungst R. G.. Energy and
power characteristics of tithium-ion cells. J. PowerSources, vol. 72, 1998, p. 189-193.
19. Barbarisi O., Vasca F., Glielmo L. State of chargeKalman filter estimator for automotive batteries.Control Eng. Pract., vol. 14, no. 3, 2006, p.267-275.
20. Lee J., Nam O., Cho B.H. Li-ion battery SoCestimation method based on the reduced orderextended Kalman filtering. J. Power Sources, vol.
174, no. 1, 2007, p. 9-15.21. Santhanagopalan S., White R.E. Online estimation
of the state of charge of a lithium ion cell. J. PowerSources, vol. 161, no. 2, 2006, p. 1346-1355.
22.
Hornik K., Stinchcombe M., White H. Multilayerfeedforward networks are universal approximators.
Neural Netw., vol. 2, 1989, p. 359-366.23. Wang L.X., Mendel J. M. Fuzzy basis functions,
universal approximation, and orthogonal least
squares learning. IEEE Trans. Neural Netw., vol. 3,no. 5, 1992, p. 807-814.
24. Wang C. H., Wang W.Y., Lee T.T., Tseng P.S.Fuzzy B-spline membership function (BMF) andits applications in fuzzy-neural control. IEEETrans. Syst., Man, Cybern. B, vol. 25, no. 5, 1995,
p. 841-851.25. Wang, L. X. Adaptive Fuzzy Systems and Control.
Englewood Cliffs, NJ: Prentice-Hall, 1994.26. Wang W.Y., Lee T.T., Liu C.L. Functionapproximation using fuzzy neural networks withrobust learning algorithm. IEEE Trans. Syst., Man,Cybern. B, vol. 27, no. 4, 1997, p. 740-747.
27. Karam M., Fadali M.S., White K. A Fourier /
Hopfield neural network for identification ofnonlinear periodic systems. In Proc. 35
thSoutheast.
Symp. Syst. Theory, Morgantown, NY, 2003, p.
53-57.28. Chang Q.Z., Sami Fadali, M. Nonlinear system
identification using a Gabor / Hopfield network,IEEE Trans. Syst., Man, Cybern. B, vol. 26, no. 1,
1996, p. 124-134.29. Park S.K.. Bearing estimation using Hopfield
neural network. in Proc. 22nd
Southeast. Symp.Syst. Theory, Cookville, Tn, Mar. 1990, p.
440-443.30. Kamiura N., Isokawa T., Matsui N. Learning based
on fault injection and weight restriction forfault-tolerant Hopfield neural networks. Proc.IEEE Int. Symp. Defect Fault Tolerance in VLSISyst., Cannes, France, Oct. 2004, p. 339-346.
31. Shen W.X., Chan C.C., Lo E.W.C., Chau K.T.Adaptive neuro-fuzzy modeling of battery residualfor electric vehicles. IEEE Trans. Ind. Electron.,
vol 49, 2002, p. 677-684.32. I-Hsum Li, Wei-Yen Wang, Shun-Feng Su,
Yuang-Shung Lee. A merged fuzzy neural network
and its applications in battery state-of-chargeestimation. IEEE Trans Energy Conv., vol. 22,2007, p. 689-708.
33. Wang W.Y., Li I.H. Evolutionary learning of BMFfuzzy-neural networks using a reduced-formgenetic algorithm. IEEE Trans. Syst., Man,
Cybern. B, Cybern., vol. 33. no. 6, 2003, p.966-976.
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CLOSED-LOOP OPTIMIZATION ALGORITHMS IN
DIGITAL SELF-TUNING PID CONTROL OF PRESSURE PROCESS
Gediminas LIAUIUS, Vytautas KAMINSKASDepartment of Systems Analysis, Vytautas Magnus University, Lithuania
Abstract:At the design stage of digital self-tuning PID
control, the determination of closed-loop parametersand continuous-time sampling period is an issue. Thestated problem is proposed to solve by optimizing thegeneralized criterion of control quality in this paper.The methodology of sub-component search has beenused to solve optimization problem. The effectivenessof search algorithms has been investigatedexperimentally.
Keywords: pressure process, self-tuning PID control,closed-loop parameters, sampling period, optimization.
1. Introduction
The control quality of continuous-time processes bydigital controllers depends on the right choice of closed-loop characteristics and continuous-time samplingperiod [1]. Moreover, at the design stage of digital self-tuning PID control, the determination of thoseparameters is not straightforward. In the present paper,the stated problem is proposed to solve by optimizingthe generalized criterion of control quality via sub-component search methodology. The effectiveness ofsearch algorithms has been experimentally analysed onpressure process.
2. Digital self-tuning PID control
The scheme of pressure process is illustrated in Fig. 1.It consists of such components: the combined air inlet(no. 1) and air outlet (no. 4) tanks, two air chambers(no. 2) and two tubes (no. 3) with balls (no. 6) in them.The air from the inlet tank flows to air channels throughair chambers and leaves the equipment through theupper outlet tank. The distance to balls is measuredusing ultrasound distance sensors (no. 5). The fans(no. 7) are used to create pressure in the air channels inorder to lift the balls in tubes. The air chambers are
utilized for the purpose to stabilize oscillations of thepressure in each tube. The momentum of the fan, theinductance of the fan motor and an air turbulence in the
tube leads to complex physics governing ball's
behaviour. Slightly different weights of the balls and thelocation of air feeding vent additionally impacts thebehaviour of ball in the tubes.
Fig. 1.The scheme of pressure process
The input signals of the process are voltage values foreach fan from the range between 0 and 10 volts. Theintermediate values of voltage effects the power of fandisproportionately. The output