Output feedback stabilization for discrete singular systems with random abrupt changes

被引：18

作者：

Wu, Zhengguang ^{[1
]}

Su, Hongye ^{[1
]}

Chu, Jian ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 17期

基金：

国家高技术研究发展计划(863计划);

关键词：

discrete singular systems; Markovian jump; output feedback; linear matrix inequality (LMI); DEPENDENT ROBUST STABILITY; JUMP LINEAR-SYSTEMS; H-INFINITY CONTROL; DELAY; STATE;

D O I：

10.1002/rnc.1560

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of static output feedback control is investigated for discrete singular systems with Markovian jump. Two necessary and sufficient conditions for the discrete singular Markovian jump system to be regular, causal and stochastically stable are proposed in terms of linear matrix inequality (LMI) approach. Two kinds of design methods of the desired mode-independent static output feedback controller are given. The explicit expressions for the desired controller are also given. Numerical examples are proposed to show the validness of the developed results. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：1945 / 1957

页数：13

共 30 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[2] On stability and stabilisation of continuous-time singular Markovian switching systems [J].

Boukas, E. K. .

IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (10) :884-894

[3] On state feedback stabilization of singular systems with random abrupt changes [J].

Boukas, E. K. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 137 (02) :335-345

[4] Descriptor discrete-time systems with random abrupt changes: stability and stabilisation [J].

Boukas, E. K. ;

Xia, Y. .

INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (08) :1311-1318

[5]

Boukas E.K., 2005, Stochastic hybrid systems

[6]

Boukas E. K., 2002, CONTROL ENGN SER BIR

[7] Static output feedback control for stochastic hybrid systems: LMI approach [J].

Boukas, EK .

AUTOMATICA, 2006, 42 (01) :183-188

[8]

Boukas EK, 2006, INT J INNOV COMPUT I, V2, P283

[9]

Boukas EK, 2008, COMMUN CONTROL ENG, P3

[10]

Costa OLV, 2005, DISCRETE TIME MARKOV

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