Stability and L2-gain analysis for switched delay systems:: A delay-dependent method

被引:702
作者
Sun, Xi-Ming
Zhao, Jun [1 ]
Hill, David J.
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Australian Natl Univ, Res Sch Informat Sci & Engn, Canberra, ACT 0200, Australia
基金
中国国家自然科学基金;
关键词
switched delay systems; exponential stability; delay-dependent; L-2-gain;
D O I
10.1016/j.automatica.2006.05.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study stability and L-2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L-2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L-2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1769 / 1774
页数:6
相关论文
共 18 条
[1]  
[Anonymous], 1999, 38 IEEE C DECISION C
[2]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[3]   Delay-dependent Robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1661-1666
[4]  
Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7
[5]   On robust stability of time-delay systems with norm-bounded uncertainty [J].
Han, QL ;
Gu, KQ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1426-1431
[6]   Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832
[7]   Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65
[8]   Computation of piecewise quadratic Lyapunov functions for hybrid systems [J].
Johansson, M ;
Rantzer, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :555-559
[9]   Output-feedback H∞ control of systems over communication networks using a deterministic switching system approach [J].
Kim, DK ;
Park, P ;
Ko, JW .
AUTOMATICA, 2004, 40 (07) :1205-1212
[10]  
Liberzon D., 2003, SYS CON FDN