Analysis and synthesis of randomly switched systems with known sojourn probabilities

被引：20

作者：

Tian, Engang ^{[1
]}

Yue, Dong ^{[2
,3
]}

Yang, Tai-cheng ^{[4
]}

机构：

[1] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing 210042, Jiangsu, Peoples R China

[2] Nanjing Univ Post & Telecommun, Coll Automat Engn, Nanjing, Jiangsu, Peoples R China

[3] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[4] Univ Sussex, Dept Engn & Design, Brighton BN1 9QT, E Sussex, England

来源：

INFORMATION SCIENCES | 2014年 / 277卷

基金：

中国国家自然科学基金;

关键词：

Randomly switched system; Known sojourn probability; Switching law; Lyapunov functional method; MARKOVIAN JUMP SYSTEMS; H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; OUTPUT-FEEDBACK CONTROL; TIME-VARYING SYSTEMS; STOCHASTIC-SYSTEMS; STABILITY ANALYSIS; DELAY SYSTEMS; OCCURRED NONLINEARITIES; UNCERTAIN SYSTEMS;

D O I：

10.1016/j.ins.2014.02.129

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, a new approach is proposed and investigated for the stability analysis and stabilizing controller design of randomly switched linear discrete systems. The approach is based on sojourn probabilities and it is assumed that these probabilities are known a prior. A new Lyapunov functional is constructed and two main theorems are proved in this paper. Theorem 1 gives a sufficient condition for a switched system with known sojourn probabilities to be mean square stable. Theorem 2 gives a sufficient condition for the design of a stabilizing controller. The applications of these theorems and the corresponding corollary and lemma are demonstrated by three numerical examples. Finally, some future research is proposed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：481 / 491

页数：11

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