DELAY-DEPENDENT STABILITY CRITERION AND H∞ STATE-FEEDBACK CONTROL FOR UNCERTAIN DISCRETE-TIME SWITCHED SYSTEMS WITH TIME-VARYING DELAYS

被引：0

作者：

Wang, Guixiang ^{[1
]}

Liu, Yaling ^{[1
]}

Wen, Chenglin ^{[2
]}

Chen, Wenwen ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Peoples R China

[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2011年 / 7卷 / 5A期

关键词：

Discrete-time switched systems; Time-varying delays; Norm-bounded uncertainties; Switched Lyapunov function; Linear matrix inequality (LMI); ROBUST STABILIZATION; SINGULAR SYSTEMS; DESIGN;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The robust stability and H infinity state-feedback control problems for uncertain discrete-time switched systems with time-varying delays are discussed in this paper. The uncertainty is time-varying but, norm-bounded. By the switched Lyapunov-Krasovskii functional approach, delay-dependent linear matrix inequality conditions for the delay-varying discrete-time uncertain switched system are developed to guarantee that the switched system is asymptotically stable with an l(2) gain smaller than a prescribed scalar under arbitrary switching; Switched state-feedback controller is designed to render the corresponding switched closed-loop system asymptotically stable with an l(2) gain measure. Linear matrix inequality approach is employed to the state-feedback controller design. Finally, two numerical examples are given to illustrate the validity of the proposed techniques.

引用

页码：2473 / 2484

页数：12

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