Robust L2-L∞ filtering for switched systems under asynchronous switching

被引：45
作者：
Xiang, Zhengrong [1 ]
Liang, Changyu [1 ]
Chen, Qingwei [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Switched system; Robust L-2-L-infinity filtering; Asynchronous switching; Average dwell time; Linear matrix inequality (LMI); TIME-VARYING DELAY; LINEAR-SYSTEMS; NONLINEAR-SYSTEMS; LYAPUNOV FUNCTION; STABILITY; STABILIZATION;
D O I：
10.1016/j.cnsns.2010.10.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the problem of robust L-2-L-infinity filtering for continuous-time switched systems under asynchronous switching. When there exists asynchronous switching between the filter and the system, based on the average dwell time approach, sufficient conditions for the existence of a linear filter that guarantee the filtering error system to be exponentially stable with a prescribed weighted L-2-L-infinity performance for switched systems are derived, and filter parameters can be obtained by solving a set of matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：3303 / 3318
页数：16
相关论文
共 29 条
[1]   Supervisory control with state-dependent dwell-time logic and constraints [J].
De Persis, C ;
De Santis, R ;
Morse, AS .
AUTOMATICA, 2004, 40 (02) :269-275
[2]   H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach [J].
Du, Dongsheng ;
Jiang, Bin ;
Shi, Peng ;
Zhou, Shaosheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1520-1525
[3]  
Hou L, 1996, IEEE DECIS CONTR P, P1208, DOI 10.1109/CDC.1996.572655
[4]   Improved robust H∞ filtering for uncertain discrete-time switched systems [J].
Hu, K. ;
Yuan, J. .
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (03) :315-324
[5]   Stabilization of switched linear systems with time-varying delay in switching occurrence detection [J].
Ji, Zhijian ;
Guo, Xiaoxia ;
Xu, Shixu ;
Wang, Long .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2007, 26 (03) :361-377
[6]   Supervisory hybrid systems [J].
Lemmon, MD ;
He, KX ;
Markovsky, I .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (04) :42-55
[7]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[8]  
Liberzon D., 2003, SYS CON FDN, P190, DOI 10.1007/978-1-4612-0017-8
[9]  
Liu XW, 2007, Proceedings of the 26th Chinese Control Conference, Vol 3, P660
[10]   On a common quadratic Lyapunov function for widely distant systems [J].
Ooba, T ;
Funahashi, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (12) :1697-1699
123