Delay-dependent H∞ control for singular Markovian jump systems with time delay

被引：149

作者：

Wang, Junru ^{[1
]}

Wang, Huijiao ^{[1
]}

Xue, Anke ^{[2
]}

Lu, Renquan ^{[2
]}

机构：

[1] Zhejiang Sci Tech Univ, Inst Automat, Coll Mech Engn & Automat, Hangzhou 310018, Zhejiang, Peoples R China

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

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2013年 / 8卷

关键词：

Singular Markovian jump system; H-infinity control; Time delay; Delay subinterval decomposition approach; FEEDBACK STABILIZATION; ABSOLUTE STABILITY; ROBUST STABILITY; STABILIZABILITY;

D O I：

10.1016/j.nahs.2012.08.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of delay-dependent H-infinity control for singular Markovian jump systems with time delay. Based on the delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the new delay-dependent bounded real lemma (BRL), which ensures the considered system to be regular, impulse-free and stochastically stable with given H-infinity performance index gamma. Based on this new BRL, the explicit expression of the desired controller gains is also presented by solving a set of strict LMIs. Some numerical examples are given to show the effectiveness and less conservativeness of the proposed methods. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1 / 12

页数：12

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