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1 / 22 Cleveland State University MCE441: Intr. Linear Control Systems Lecture 1: Introduction and Motivations for Automatic Control Prof. Richter

ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

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Page 1: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

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Cleveland State UniversityMCE441: Intr. Linear Control Systems

Lecture 1: Introduction and Motivations for Automatic Control

Prof. Richter

Page 2: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Control-Oriented Notion of System

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

2 / 22

� System: A device or process having identifiable inputs andoutputs. Drawing the boundaries of a system involves adegree of abstraction.

� Example: Input: Accelerator pedal position; Output: Speed.Alternative: Input: Fuel flowrate; Output: Torque.

� Inputs can be either manipulated at will or be undesirableexternal influences. We can set the pedal accurately, but wecan’t predict or set the wind force. Undesirable, generallyunpredictable and often unmeasurable inputs (one of thecontrol engineer’s enemies) are called disturbances.

Page 3: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

What is Control?

Control-OrientedNotion of System

⊲ What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

3 / 22

� To control a system means to make outputs of interestfollow a desired behavior (trajectory, profile) despitedisturbances and other errors.

� In Automatic Control, the corrective actions required toachieve the required output behavior are performed bymachine.

� The design, construction and deployment of the controlmachinery involves diverse skills, usually not found in a singleperson. Control technologists deal mostly with theconstruction and deployment of control hardware. Controltheorists deal with the mathematical principles behinddynamic systems (usually described by differentialequations). The ME’s role in control is focused in the earlystages of design: mathematical modeling, simulation anddetermination of control algorithms.

Page 4: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Advantages of Automatic Controls

Control-OrientedNotion of System

What is Control?

Advantages ofAutomaticControls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

4 / 22

4 reasons to build control systems:

� Power amplification: command high-power outputs fromlow-power control interfaces.

� Remote control: keep operator away from controller object:radioactive material, minesweeping .

� Convenience of input form: Manipulate thermal, mechanical,electrical, chemical and other variables from simplecommands (knob turn, keystroke, etc.)

� Compensation for disturbances: keep car speed at 65 mphdespite grade. Keep CNC machine spindle rotating atnominal speed (± small margin) despite forces from metalcutting.

Page 5: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Advantages of Automatic Controls

Control-OrientedNotion of System

What is Control?

Advantages ofAutomaticControls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

5 / 22

Here are three important applications where (feedback) control isa necessity:

� Stabilization of naturally unstable systems: fighter aircraft,magnetic levitation...

� Performance improvement: hard disk drives, automotiveABS, EFI...

� Multi input/output systems: process control

Page 6: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Open-Loop Control

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-LoopControl

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

6 / 22

In an open loop control system, the input applied to the processunder control does not depend on the actual output. Inopen-loop control there is no error correction. Examples: 1)Toaster; 2)Clothes washer; 3)Holding the accel. pedal down witha block; 4)Not returning grades to students until final gradeassigned; 5)Fan speed settings; 6)Oven temperature settings.The severity of the disturbances determines which of the above

examples can operate under open-loop control. Regardless ofdisturbances, the ability to calibrate the system can determinewhether or not open-loop control is applicable. Calibration isdifficult for multi-input, multi-output systems.

Page 7: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Feedback: a familiar idea

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-LoopControl

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

7 / 22

Actuator Plant

Sensor

Disturbance

Controller

+--

-+Actual SeparationDesired Separation

Page 8: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Closed-Loop (Feedback) Control

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback)Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

8 / 22

In a closed-loop control system, the input applied to the processunder control depends on the actual output. Automatic errorcorrection is running at all times in closed-loop control. Inerror feedback structures (studied in MCE441), the errorbetween desired and actual outputs is used to calculate the inputapplied to the process. Coming up with this calculation is calledcontrol design. The calculation itself is called control law orcontrol algorithm. The device implementing this calculation iscalled controller or compensator.

Page 9: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Closed-Loop (Feedback) Control

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback)Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

9 / 22

It is important to realize that the control input is calculated on

the fly, as the control system is running. Examples: 1)Aircraftautopilot; 2)Automotive cruise control; 3)Fancy car climatecontrol; 4)Interest rate adjustment by the Fed to reduceinflation; 4)Increasing number of study hours after first quiz. Allthese involve a running error correction.

Page 10: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Thermal Homeostasis

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback)Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

10 / 22

+-

Setpoint(37◦C) Hypothalamus

(controller)

VasoconstrictionVasodilationSweatingShiveringBehavior(plant+actuators)

Blood temp.Skin temp(sensors)

Page 11: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Balancing the Stick

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback)Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

11 / 22

Page 12: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Feedback in Economics

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback)Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

12 / 22

+-

++

-

+

Government(controller)

Private businessinvestment

Businessproduction

ConsumersMeasurements

Taxcollections

National IncomeDesiredNationalIncome

+

Page 13: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

A little history+reading assignment

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

13 / 22

� 300 BC, Greece: Water clocks using float regulators.� 1st century AD: Heron of Alexandria conceives water level

regulators in Pneumatica

� 16th century, Holland: Cornelis Drebbel invents temperatureregulator

� 17th century, France: Dennis Papin invents pressureregulator

� 18th century, England: James Watt’s flyball governor� 19th century, England: James C. Maxwell starts

mathematical approach using ODEs

Page 14: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

a little history...

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

14 / 22

� 19th century, Russia: I.A. Vyshnegradskii formulatesmathematical theory of regulators

� In the 20th century, Bell Labs researchers (Nyquist, Bode,Black) develop frequency domain techniques

� In Russia, mathematicians take the lead and formalizecontrol theory in the time domain

� Control theory came from technology. Now it is animportant and active branch of applied mathematics.

� Very active research field: CSS, IFAC, IEEE, ASME, AIAA,EUCA, SICE and more

� Reading assignment: Dorf, Ch. 1, articles in ME magazine

Page 15: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Clepsidra (Water Clock)

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

15 / 22

Page 16: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Watt’s Flyball Governor

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernor

ComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

16 / 22

Page 17: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Complex Engineering Systems

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernor

ComplexEngineeringSystems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

17 / 22

flight control system(aerodynamic and mechanical domains)

hydraulic servos(fluid and electrical domains)

cabin climate control (thermal domain)

propulsion control(thermomechanical domain)

power control(electrical domain)

Page 18: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Complex Engineering Systems

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineeringSystems

Feedback inNon-EngineeringFields

Some Links

18 / 22

Kpe(t) + Kie(s)dsft

0

Pressure Setpoint

e-+

High Pressure Nitrogen

Pressurized LOXto test article

PI Control Law

Pressure Transmitter

Pressure Control Valve

LOX Run-Tank

Page 19: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Tech. Advances Enabled by Ctrl.

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineeringSystems

Feedback inNon-EngineeringFields

Some Links

19 / 22

� CNC machining� Robotics� Implantable biomedical devices and artificial organs� Air and space travel� Industrial automation in general

Page 20: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Feedback in Non-Engineering Fields

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

20 / 22

� Biology and medicine� Psychology� Strategy� Economics� Social systems

Page 21: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Course Scope

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

Some Links

21 / 22

The Joy of Math Bolts, nuts

and wires

Control

Theory

Control

Technology

Control

Design

MCE441

Page 22: ClevelandStateUniversity MCE441: Intr ... · The design, construction and deployment of the control ... James Watt’s flyball governor 19th century, England: James C. Maxwell starts

Some Links

Control-OrientedNotion of System

What is Control?Advantages ofAutomatic Controls

Open-Loop Control

Closed-Loop(Feedback) Control

A littlehistory+readingassignment

Watt’s FlyballGovernorComplexEngineering Systems

ComplexEngineering Systems

Feedback inNon-EngineeringFields

⊲ Some Links

22 / 22

� Honda Humanoid Robots:http://asimo.honda.com/

� NASA Dynamics and Controls Branch:http://www.grc.nasa.gov/WWW/cdtb/index.html

� Segway Dynamic Stabilization:http://www.segway.com/individual/learn-how-works.php