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Admissibility analysis and control synthesis for switched linear singular systems

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Journal of Systems Engineering and Electronics 2009年第5期20卷 1037-1044页

作者： Lin Jinxing Fei Shumin Shen Jiong Key Laboratory of Measurement and Control of CSE Ministry of Education Nanjing 210096 P. R. China School of Energy and Environment Southeast Univ. Nanjing 210096 P. R. China

The problem of admissibility analysis and control synthesis of discrete-time switched linear singular （SLS） systems for arbitrary switching laws is solved. By using the switched lyapunov function approach, some new sufficient conditions under which the SLS system is admissible for arbitrary switching laws are derived in terms of linear matrix inequalities （LMIs）. Based on the admissibility results, control synthesis is then to design switched state feedback and static output feedback controllers, guaranteeing that the resulting closed-loop system is admissible. The presented results can be viewed as the extensions of previous works on switched lyapunov function approach from the regular switched systems to singular switched cases. Examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions.

关键词： switched singular systems admissibility switched lyapunov function switched state feedback switched static output feedback.

Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation

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控制理论与应用（英文版） 2012年第3期10卷 325-331页

作者： Xinquan ZHANG Mingshun WANG Jun ZHAO State Key Laboratory of Synthetical Automation for Process Industries Northeastern UniversityShenyang Liaoning 110819China

This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.

关键词： Antiwindup switched systems Saturating actuators switched lyapunov function Attraction domain LMI

L_2-gain Analysis and Anti-windup Design of Discretetime switched Systems with Actuator Saturation

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International Journal of Automation and computing 2012年第4期9卷 369-377页

作者： Zhang, Xin-Quan Zhao, Jun School of Information and Control Engineering Liaoning Shihua University Fushun 113001 China State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang 110819 China

This paper investigates L2-gain analysis and anti-windup compensation gains design for a class of discrete-time switched systems with saturating actuators and L2 bounded disturbances by using the switched lyapunov function *** a given set of anti-windup compensation gains,we firstly give a sufficient condition on tolerable disturbances under which the state trajectory starting from the origin will remain inside a bounded set for the corresponding closed-loop switched system subject to L2 bounded ***,the upper bound on the restricted L2-gain is obtained over the set of tolerable ***,the antiwindup compensation gains aiming to determine the largest disturbance tolerance level and the smallest upper bound of the restricted L2-gain are presented by solving a convex optimization problem with linear matrix inequality(LMI) constraints.A numerical example is given to illustrate the effectiveness of the proposed design method.

关键词： L2-gain anti-windup switched systems saturating actuators switched lyapunov function tolerable disturbances.

Observer-based robust H-infinity control for uncertain switched systems

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控制理论与应用（英文版） 2007年第3期5卷 278-284页

作者： Zhengyi SONG Jun ZHAO Key Laboratory of Process Industry Automation Ministry of Education China Northeastern University Shenyang Liaoning 110004 China School of Information Science and Engineering Northeastern University Shenyang Liaoning 110004 China

The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched lyapunov function method. None of the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results.

关键词： Linear discrete-time switched system Robust H-infinity control switched lyapunov function Linear matrix inequality (LMI)

New Delay-Dependent Stability of Uncertain Discrete-Time switched Systems with Time-Varying Delays

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Journal of Mathematical Research and Exposition 2011年第2期31卷 224-232页

作者： Liang Lin XIONG 1,2,Shou Ming ZHONG 2,3,Mao YE 4 1.School of Mathematics and Computer Science,Yunnan Nationalities University,Yunnan 650031,P.R.China 2.School of Applied Mathematics,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China 3.Key Laboratory for NeuroInformation of Ministry of Education,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China 4.School of Computer Science and Engineering,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China School of Mathematics and Computer Science Yunnan Nationalities University Yunnan 650031 School of Applied Mathematics University of Electronic Science and Technology of China Key Laboratory for Neurolnformation of Ministry of Education Sichuan 610054 School of Computer Science and Engineering University of Electronic Science and Technology of China Sichuan 610054

This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time *** on a novel difference inequality and a switched lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities （LMIs） which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.

关键词： discrete-time switched system difference inequality switched lyapunov function delay-dependent stability linear matrix inequality (LMI)

Adaptive Integral Sliding Mode Compensation Control for a Class of Uncertain switched Nonlinear Systems

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Adaptive Integral Sliding Mode Compensation Control for a Cl...

第三十届中国控制会议

作者： YU Lei~(1,2,*),FEI Shumin~2 1.School of Mechanical and Electrical Engineering Soochow University,Suzhou,215021,P.R.China 2.School of Automation,Southeast University,Nanjing,210096,P.R.China

＜正＞This work presents an adaptive integral sliding mode compensation control scheme for a class of switched nonlinear systems with uncertainties and external *** updated law is based on switched lyapunov function approach, and a periodically switching signal which is suit for practical implementation is *** the proposed control scheme, it’s proved that the resulting closed-loop switched system is asymptotically lyapunov stable such that the sliding surface of the control system is well *** studies have shown that the proposed controller shows satisfactory control performance.

关键词： Adaptive integral sliding mode control switched lyapunov function Switching signal

A Note on Stability and Stabilization of Discrete-time Systems with Time-varying Delay

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A Note on Stability and Stabilization of Discrete-time Syste...

第三十一届中国控制会议

作者： Jian Sun Jie Chen 1.School of Automation Beijing Institute of Technology Beijing 100081

＜正＞This paper is concerned with the stability and stabilization problem of the discrete-time systems with time-varying *** "lifting" technique,a discrete-time system with time-varying delay is transformed into a switched *** the basis of theories of switched systems,some necessary and sufficient stability conditions are obtained. However,these conditions are hard to *** the switched lyapunov function approach,some equivalent sufficient stability conditions are *** on these conditions,a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.

关键词： Time-delay system switched system switched lyapunov function Linear matrix inequality(LMI)

Guaranteed Cost Control and Anti-windup Design for Discrete-time Saturated switched Systems

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Guaranteed Cost Control and Anti-windup Design for Discrete-...

第三十九届中国控制会议

作者： Xinquan Zhang Xiaoyin Li Zhengbao Cao Wenhua Tao School of Information and Control Engineering Liaoning Shihua University School of Foreign Languages Liaoning Shihua University State Key Laboratory of Synthetical Automation for Process Industries Northeastern University

This paper considers the guaranteed cost control and anti-windup design problem for a class of discrete-time saturated switched systems. The anti-windup compensators are designed, for guaranteeing that the considered system is asymptotically stable and simultaneously the minimized upper-bound of the cost function is obtained. By using the switched lyapunov function method, we derive some sufficient conditions about the existence of anti-windup compensation gains of guaranteed cost. Furthermore, the minimized upper-bound of the cost function is determined by solving an optimisation problem in terms of linear matrix inequalities（LMI） constraints. Finally, a numerical example is given to show the effectiveness of the proposed method.

关键词： Guaranteed Cost Control Saturated switched systems Anti-windup switched lyapunov function LMI

Guaranteed Cost Control of Uncertain Discrete-time switched Linear Systems with Actuator Saturation 25th

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Guaranteed Cost Control of Uncertain Discrete-time Switched ...

第25届中国控制与决策会议

作者： Xinquan Zhang Jun Zhao School of Information and Control Engineering Liaoning Shihua University State Key Laboratory of Synthetical Automation for Process Industries Northeastern University

ISBN: (纸本)9781467355339

The problem of guaranteed cost control is investigated for a class of uncertain discrete-time switched linear systems subject to actuator saturation. The purpose is to design a state feedback control law such that the closed-loop system is asymptotically stable and the upper-bound of the cost function is minimized. Based on the switched lyapunov function approach, some sufficient conditions for the existence of guaranteed cost controllers are obtained. Furthermore, a convex optimization problem with linear matrix inequalities （LMI） constraints is formulated to determine the minimum upper-bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed design method.

关键词： Guaranteed cost control switched linear systems Actuator saturation switched lyapunov function LMI