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EditorialRobust Control with Engineering Applications
Tao Li,1 Baoyong Zhang,2 Zhiguang Feng,3 and Bochao Zheng1
1 School of Information and Control, Nanjing University of Information Science & Technology, Nanjing 210044, China2 School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China3Department of Mechanical Engineering, The University of Hong Kong, Hong Kong
Correspondence should be addressed to Tao Li; [email protected]
Received 12 January 2014; Accepted 12 January 2014; Published 14 April 2014
Copyright © 2014 Tao Li et al. This is an open access article distributed under the Creative Commons Attribution License, whichpermits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Robust control is an important branch of control theorythat explicitly deals with uncertainty in its approach tocontroller design. Over the past several decades, there hasbeen an increasing interest in robust control. On one hand,uncertain parameters or disturbances exist inherently in theaeronautics and astronautics, advanced manufacturing, andother complex engineering systems. On the other hand,uncertain parameters or disturbances seriously affect the sta-bility, accuracy, and reliability of underlying control systems.Therefore, robust control has become a challenging problemin international control filed, for example, 𝐻
∞control, 𝐻
2
control, guaranteed cost control (GCC), adaptive control(AC), variable structure control (VSC), antidisturbance con-trol (ADC), fault-tolerant control (FTC), and so forth.
This special issue contain sixty-seven papers, whichcovers currently hot topics on robust control from theoret-ical methods to practical applications. Figure 1 shows theirdistribution about the topics. Moreover, we will summarizethe typical papers about every topic.
𝐻∞
Control. “𝐻∞
control theory using in the air pollu-tion control systems” by T. Yang et al. shows 𝐻
∞control
theory for the air pollution control systems. “𝐻∞
filterdesign for large-scale systems with missing measurements”by Y. Zhou et al. deals with the 𝐻
∞filter design problem
for large-scale systems with missing measurements, wherethe occurrence of missing measurements is assumed to bea Bernoulli distributed sequence with known probability.“Delay-probability-distribution-dependent 𝐻
∞FIR filtering
design with envelope constraints” by C. Peng et al. employsthe information of the delay size and delay probability
distribution and gives a novel delay-probability-distribution-dependent filter design method.
𝐻2Control. “𝐻
2control for continuous-time Markovian jump
linear uncertain systems with partly known transition ratesand quantization” by X.-G. Zhao et al. proposes sufficientconditions in terms of linear matrix inequalities for 𝐻
2
control of Markov jump linear uncertain systems. “A novelapproach to 𝑙
2-𝑙∞
filtering design for T-S fuzzy systems withmultiple time-varying delays” by X. Zhang et al. proposes thefull-order and reduced-order filter design schemes for T-Sfuzzy systems with multiple time-varying delays by using thefree-weighting matrices method.
Guaranteed Cost Control. “Switching fuzzy guaranteed costcontrol for nonlinear networked control systems” by L. Caiet al. introduces a switching mechanism to handle theuncertainties of networked control systems and presentsguaranteed cost controller design method. “Convergenceguaranteed nonlinear constraint model predictive control viaI/O linearization” byX.Kong et al. presents iterative quadraticprogram routine on the continuous-time system to guaranteeits convergence.
Adaptive Control. “Characteristic modeling and control ofservo systems with backlash and friction” by Y. Wu et al.investigates an approach for modeling and adaptive controlof servo systems with backlash and friction based on thecharacteristic model. “Robust adaptive PID control of robotmanipulator with bounded disturbances” by J. Xu and L. Qiaogives two novel robust adaptive PID control schemes for
Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2014, Article ID 567672, 2 pageshttp://dx.doi.org/10.1155/2014/567672
2 Mathematical Problems in Engineering
robot manipulator with bounded disturbances and largerexternal disturbances can be tolerated by comparing withthe existing adaptive PD control. “Global harmonic currentrejection of nonlinear backstepping control with multivariableadaptive internal model principle for grid-connected inverterunder distorted grid voltage” by Y. Yu et al. investigates theglobal harmonic current rejection problemof grid-connectedinverter under distorted grid voltage and a multivariableadaptive state feedback control method is designed to guar-antee the global stability of the closed-loop system.
Variable Structure Control. “Sliding sector-based variablestructure control of continuous-time Markov jump linear sys-tems subject to unknown transition rates” by Y.-M. Xue et al.presents a sufficient condition for variable structure controldesign based on sliding sector technique for a class ofMarkovjump systems with unknown transition rates.
Anti-Disturbance Control. “Active disturbance rejection withslidingmode control based course and path following for under-actuated ships” by R. Li at el. investigates the path followingproblem of underactuated surface ship with uncertaintiesand external disturbances and active-disturbance-rejectioncontrol with sliding mode is provided to improve the per-formance of the closed-loop system. “Robust coordinatedcontrol algorithm for multiple marine vessels with externaldisturbances” by W. X. Liu et al. considers the coordinatedcontrol problem for multiple marine vessels with externaldisturbances and a robust coordinated control algorithm isgiven based on dynamic surface control method.
Fault-Tolerant Control. “Fault-tolerant control for civil struc-tures based on LMI approach” by C. Qu et al. designs afilter to perform the fault detection and isolation and thenforms a control strategy to achieve the fault-tolerant control.“Robust adaptive switching fault-tolerant control of a class ofuncertain systems against actuator faults” by X.-Z. Jin dealswith the fault-tolerant control problem for a class of lineartime-invariant systems with time-varying actuator faults anduncertainties. “Fault-tolerant control in redundant inertialnavigation system” by X. Dai studies the robust fault-tolerantcontrol problem for the redundant inertial navigation systemand an improved control algorithm which considers theunknown noise characteristics, model inaccuracies, and thedrift factor to improve the control performance.
This special issue also includes riches of collections ofengineering applications related to robust control theory,such as spacecraft and flight control, robots, power systems,networked systems, servo systems, autonomous underwatervehicles, and energy systems.
Of course, the selected topics and papers are not acomprehensive representation of the area of this specialissue. Nonetheless, they represent the rich and much facetedknowledge that we have the pleasure of sharing with thereaders.
Publish number
9
3
8
12
1
12
8
14
control controlGSC AC VSC ADC FTC OthersH∞ H2
Figure 1
Acknowledgments
Wewould like to express appreciation to the authors for theirexcellent contributions and patience in assisting us. Finally,the fundamental work of all reviewers on these papers is alsovery greatly acknowledged.
Tao LiBaoyong ZhangZhiguang FengBochao Zheng
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