Delay-dependent robust control for uncertain switched systems with time-delay

被引：75
作者：
Liu, Jun [1 ]
Liu, Xinzhi [1 ]
Xie, Wei-Chau [2 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Switched system; Time-delay system; Uncertainty; Lyapunov method; Matrix inequality; Dwell time;
D O I：
10.1016/j.nahs.2007.04.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers a class of uncertain switched systems with constant time-delay. Based on Krasovskii-Lyapunov functional methods and linear matrix inequality techniques, delay-dependent stability conditions for robust stability and stabilization of the system are derived in terms of linear matrix inequalities. Moreover, dwell time constraints are imposed for the switching law. Some numerical examples are also given to illustrate the results. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：81 / 95
页数：15
相关论文
共 38 条
[1]   Lie-algebraic stability criteria or switched systems [J].
Agrachev, AA ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) :253-269
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]   Delay-dependent robust stabilization of uncertain systems with multiple state delays [J].
Cao, YY ;
Sun, YX ;
Cheng, CW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (11) :1608-1612
[4]   Stabilization of planar switched systems [J].
Cheng, DZ .
SYSTEMS & CONTROL LETTERS, 2004, 51 (02) :79-88
[5]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[6]   Delay-dependent robust H∞ control of uncertain linear state-delayed systems [J].
de Souza, CE ;
Li, X .
AUTOMATICA, 1999, 35 (07) :1313-1321
[7]   Delay-dependent stability and H∞ control:: constant and time-varying delays [J].
Fridman, E ;
Shaked, U .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (01) :48-60
[8]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[9]   New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems [J].
Fridman, E .
SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :309-319
[10]  
Gahinet P., 1995, LMI Control Toolbox
1234