Robust stabilization of switched systems with time-delay

被引：0
|
作者：
Liu, XL [1 ]
Duan, GR [1 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷
关键词：
switched systems; robust stabilization; Lyapunov function; linear matrix inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note deals with robust stabilization of switched systems with time-delay under arbitrarily switching sequences in the discrete-time domain. The proposed approach in this note detects the existence of a switched quadratic Lyapunov function to check asymptotic stability of the switched systems with time-delay tinder arbitrarily switching sequences. Two equivalent conditions based on linear matrix inequalities are developed for guaranteeing the stability of switched systems with time-delay under arbitrarily switching sequences. According to these conditions, the state feedback control law is given to ensure robust stabilization of switched systems with uncertainties. At last, a numerical example illustrates the reduction of conversation.
引用
收藏
页码：819 / 826
页数：8
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