FINITE-TIME CONTROL FOR SWITCHED DELAY SYSTEMS VIA DYNAMIC OUTPUT FEEDBACK

The problem of finite-time control is addressed in this paper for a class of switched delay systems via dynamic output feedback. First, the concepts of finite-time stability and finite-time boundedness are extended to switched delay systems, respectively. Second, by resorting to the average dwell time approach and Lyapunov-Krasovskii functional technique, some new delay-dependent criteria guaranteeing finite-time boundedness and finite-time stability are developed, respectively. An explicit expression for the desired dynamic output feedback controller is also given. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed results.

[1]  P. Dorato.  SHORT-TIME STABILITY IN LINEAR TIME-VARYING SYSTEMS , 1961 .

[2]  C. Abdallah,et al.  Robust finite-time stability design via linear matrix inequalities , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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

[4]  Francesco Amato,et al.  Finite-time control for uncertain linear systems with disturbance inputs , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[5]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[6]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[7]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[8]  FENGJun-E,et al.  Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances , 2005 .

[9]  Carlo Cosentino,et al.  Finite-time stabilization via dynamic output feedback, , 2006, Autom..

[10]  E. Boukas,et al.  Exponential H∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach , 2008 .

[11]  Shengyuan Xu,et al.  Robust H∞ stabilization for uncertain switched impulsive control systems with state delay: An LMI approach , 2008 .

[12]  Li Liu,et al.  Finite-time stabilization of linear systems via impulsive control , 2008, Int. J. Control.

[13]  Shumin Fei,et al.  FINITE-TIME CONTROL OF A BIOREACTOR SYSTEM USING TERMINAL SLIDING MODE , 2009 .

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

[15]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[16]  Wen-an Zhang,et al.  Stability analysis for discrete-time switched time-delay systems , 2009, Autom..

[17]  Ligang Wu,et al.  Average dwell time approach to L 2 -L∞1 control of switched delay systems via dynamic output feedback , 2009 .

[18]  Shihua Li,et al.  Finite-time stability and stabilization of switched linear systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[19]  Patrizio Colaneri,et al.  Markov Jump Linear Systems with switching transition rates: Mean square stability with dwell-time , 2010, Autom..

[20]  Francesco Amato,et al.  Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design , 2010, IEEE Transactions on Automatic Control.

[21]  Linlin Hou,et al.  Robust l2−l∞ Guaranteed Cost Filtering for Uncertain Discrete-Time Switched System with Mode-Dependent Time-Varying Delays , 2011, Circuits Syst. Signal Process..

[22]  Yongcan Cao,et al.  Exponential l2−l∞ output tracking control for discrete‐time switched system with time‐varying delay , 2012 .