Non-fragile H2 reliable control for switched linear systems with actuator faults

This paper focuses on the issue of non-fragile H"2 reliable control for switched linear systems with actuator faults and circular disk pole constraints. The state feedback and the switching law are designed to guarantee that the closed-loop H"2 performance is less than a specified scalar and all closed-loop poles are located in a specified circular disk, in terms of linear matrix inequalities (LMIs). An example is provided to illustrate the effectiveness of the proposed method.

[1]  Guang-Hong Yang,et al.  Non-fragile fuzzy H∞ filter design for nonlinear continuous-time systems with D stability constraints , 2012, Signal Process..

[2]  Peng Shi,et al.  Asynchronous H∞ filtering of discrete-time switched systems , 2012, Signal Process..

[3]  Rafael Wisniewski,et al.  Model Reduction of Switched Systems Based on Switching Generalized Gramians , 2012 .

[4]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.

[5]  Zhengzhi Han,et al.  H∞ non-fragile observer-based sliding mode control for uncertain time-delay systems , 2010, J. Frankl. Inst..

[6]  Guang-Hong Yang,et al.  Non-fragile Hinfinity filter design for linear continuous-time systems , 2008, Autom..

[7]  Xinzhi Liu,et al.  Fault estimator design for a class of switched systems with time-varying delay , 2011, Int. J. Syst. Sci..

[8]  Jun Zhao,et al.  On stability, L2-gain and Hinfinity control for switched systems , 2008, Autom..

[9]  Jianbin Qiu,et al.  Robust mixed H/sub 2//H αfiltering design for discrete-time switched polytopic linear systems , 2008 .

[10]  Xiaoli Zhang,et al.  Fault-tolerant control with finite-time stability for switched linear systems , 2011, 2011 6th International Conference on Computer Science & Education (ICCSE).

[11]  Pascal Gahinet,et al.  H/sub /spl infin// design with pole placement constraints: an LMI approach , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[12]  Ligang Wu,et al.  Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems , 2012, Autom..

[13]  Hao Hu,et al.  Reliable control for switched systems with time delay and mixed fault of actuator , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[14]  Peng Shi,et al.  Delay-dependent exponential H ∞ filtering for discrete-time switched delay systems: H ∞ FILTERING FOR DISCRETE-TIME SWITCHED DELAY SYSTEMS , 2012 .

[15]  Ricardo C. L. F. Oliveira,et al.  State feedback control of switched linear systems: an LMI approach , 2006 .

[16]  Peng Shi,et al.  Stability of switched positive linear systems with average dwell time switching , 2012, Autom..

[17]  Wook Hyun Kwon,et al.  Delay-dependent robust Hinfinity control for uncertain systems with a state-delay , 2004, Autom..

[18]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[19]  Wei Xing Zheng,et al.  Weighted H∞ model reduction for linear switched systems with time-varying delay , 2009, Autom..

[20]  Yugang Niu,et al.  Stabilization of Markovian jump linear system over networks with random communication delay , 2009, Autom..

[21]  Marcel Staroswiecki,et al.  Fault recoverability analysis of switched systems , 2012, Int. J. Syst. Sci..

[22]  Dan Zhang,et al.  Delay-dependent fault detection for switched linear systems with time-varying delays - the average dwell time approach , 2011, Signal Process..

[23]  Guanghui Sun,et al.  STATE ESTIMATION AND SLIDING MODE CONTROL OF UNCERTAIN SWITCHED HYBRID SYSTEMS , 2012 .

[24]  Magdi S. Mahmoud,et al.  Delay-dependent Hinfinity filtering of a class of switched discrete-time state delay systems , 2008, Signal Process..

[25]  Huaguang Zhang,et al.  Stabilization of Switched Nonlinear Systems With All Unstable Modes: Application to Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[26]  Peng Shi,et al.  Robust filtering for jumping systems with mode-dependent delays , 2006, Signal Process..

[27]  Jian Liang Wang,et al.  Delay-dependent exponential H-infinity filtering for discrete-time switched delay systems , 2012 .

[28]  F. MontagnerV.,et al.  State feedback control of switched linear systems , 2006 .

[29]  Peng Shi,et al.  Fault-Tolerant Control for Nonlinear Markovian Jump Systems via Proportional and Derivative Sliding Mode Observer Technique , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

[31]  P. Shi,et al.  Exponential H∞ filtering for switched linear systems with interval time‐varying delay , 2009 .

[32]  Peng Shi,et al.  Robust Fault Detection for Switched Linear Systems With State Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Bin Jiang,et al.  A fault tolerant control framework for periodic switched non-linear systems , 2009, Int. J. Control.

[34]  Jun Zhao,et al.  Passivity and stability of switched systems: A multiple storage function method , 2008, Syst. Control. Lett..

[35]  Da-Wei Ding,et al.  Robust H2 filtering for uncertain continuous-time switched linear systems , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).