DELAY-DEPENDENT STABILITY AND H∞ CONTROL OF STOCHASTIC TIME-DELAY SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS

被引：3
|
作者：
Ma, Li [1 ,2 ]
Da, Fei-Peng [1 ]
Wu, Lingyao [1 ]
机构：
[1] Southeast Univ, Key Lab Measurement & Control Complex Syst Engn, Minist Educ, Res Inst Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Jiangsu Univ, Coll Elect & Informat Engn, Zhenjiang 212013, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 06期
关键词：
Stochastic time-delay systems; Markov chain; H-infinity control; linear matrix inequality; EXPONENTIAL STABILITY; ROBUST STABILITY; VARYING DELAY; STABILIZATION; NONLINEARITY; EQUATIONS;
D O I：
10.1002/asjc.270
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, the mean-square exponential stability and H-infinity control problems are investigated for a general class of stochastic time-delay systems with Markovian jumping parameters. First, a delay-dependent result in terms of linear matrix inequalities (LMIs) for mean-square exponential stability and H-infinity performance analysis is presented by constructing a modified Lyapunov-Krasovskii functional. The decay rate can be chosen in a range to be a finite positive constant without equation constraint. Then, based on the proposed stability result, we derive sufficient condition to solve the H-infinity controller design problem. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.
引用
收藏
页码：1065 / 1074
页数：10
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