Switching signal design for exponential stability of discrete switched systems with interval time-varying delay

Abstract The switching signal design for global exponential stability of discrete switched systems with interval time-varying delay is considered in this paper. Some LMI conditions are proposed to design the switching signal and guarantee the global exponential stability of switched time-delay system. Some nonnegative inequalities are used to reduce the conservativeness of the systems. Finally, two numerical examples are illustrated to show the main result.

[1]  Ye Zhao,et al.  Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[3]  Chuandong Li,et al.  Exponential stability of time-controlled switching systems with time delay , 2012, J. Frankl. Inst..

[4]  S. Ge,et al.  Switched Linear Systems: Control and Design , 2005 .

[5]  Robust H∞ control for a class of discrete switched systems with uncertainties and delays , 2006, 2007 Chinese Control Conference.

[6]  Lingjie Chen,et al.  Stability and Stabilization of a Class of Multimode Linear Discrete-Time Systems With Polytopic Uncertainties , 2009, IEEE Transactions on Industrial Electronics.

[7]  Jian Xiao,et al.  H∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance , 2011, J. Frankl. Inst..

[8]  C. Lien,et al.  Switching signal design for global exponential stability of uncertain switched nonlinear systems with time-varying delay , 2011 .

[9]  Xudong Zhao,et al.  Stability of a class of switched positive linear time‐delay systems , 2013 .

[10]  Wei Wang,et al.  Stability Analysis for Linear Switched Systems With Time-Varying Delay , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[11]  Georgi M. Dimirovski,et al.  Stability and L2-gain analysis for switched neutral systems with mixed time-varying delays , 2011, J. Frankl. Inst..

[12]  Yuan Gong Sun,et al.  Delay-dependent robust stability and stabilization for discrete-time switched systems with mode-dependent time-varying delays , 2006, Appl. Math. Comput..

[13]  P. Shi,et al.  Robust stability and stabilisation of uncertain switched linear discrete time-delay systems , 2008 .

[14]  Shu Yin,et al.  A switched system approach to H∞ control of networked control systems with time-varying delays , 2011, J. Frankl. Inst..

[15]  Jun Liu,et al.  Delay-dependent robust control for uncertain switched systems with time-delay☆ , 2008 .

[16]  Derong Liu,et al.  Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems , 2006, IEEE Trans. Circuits Syst. II Express Briefs.

[17]  Huijun Gao,et al.  Asynchronously switched control of switched linear systems with average dwell time , 2010, Autom..

[18]  D. Xie,et al.  Stabilisability and observer-based switched control design for switched linear systems , 2008 .

[19]  Guangming Xie,et al.  Delay-dependent robust stability and Hinfinity control for uncertain discrete-time switched systems with mode-dependent time delays , 2007, Appl. Math. Comput..

[20]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[21]  Salim Ibrir,et al.  Stability and robust stabilization of discrete-time switched systems with time-delays: LMI approach , 2008, Appl. Math. Comput..

[22]  Juing-Shian Chiou,et al.  On delay-dependent stabilization analysis for the switched time-delay systems with the state-driven switching strategy , 2011, J. Frankl. Inst..

[23]  V. Phat,et al.  Stability and stabilization of switched linear discrete-time systems with interval time-varying delay , 2011 .

[24]  Long-Yeu Chung,et al.  Exponential stability and robust H∞ control for uncertain discrete switched systems with interval time-varying delay , 2011, IMA J. Math. Control. Inf..

[25]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.