Stability analysis of switched linear singular systems

被引：189

作者：

Zhou, Lei ^{[1
]}

Ho, Daniel W. C. ^{[2
]}

Zhai, Guisheng ^{[3
]}

机构：

[1] Nantong Univ, Sch Elect & Informat, Nantong 226019, Jiangsu, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Shibaura Inst Technol, Dept Math Sci, Saitama 3378570, Japan

来源：

AUTOMATICA | 2013年 / 49卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Switched singular systems; Exponential stability; State jumps; Average dwell time; STABILIZATION;

D O I：

10.1016/j.automatica.2013.02.002

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 addresses the stability analysis problem for switched linear continuous-time singular systems. First, based on the equivalent dynamics decomposition form, a refined description for state jumps of the switched singular system is presented, which indicates that overall state jumps are resulted by two sequential state jumps. Second, sufficient conditions for exponential stability of the switched singular system with stable subsystems are presented. It is shown that the stability property of the system is completely determined by the switched reduced-order dynamic subsystem and the switching law induced state jumps. Then, a sufficient stability condition for the switched singular system with both stable and unstable subsystems is obtained. Finally, numerical examples are presented to illustrate the effectiveness of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1481 / 1487

页数：7

共 21 条

[1]

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

[2]

[Anonymous], 2010, ANAL DESIGN DESCRIPT

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

Boukas, EK .

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

[4]

Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330

[5] Switched Observers for Switched Linear Systems With Unknown Inputs [J].

Javier Bejarano, Francisco ;

Pisano, Alessandro .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (03) :681-686

[6] Basic problems in stability and design of switched systems [J].

Liberzon, D ;

Morse, AS .

IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70

[7]

LIBERZON D, 2011, P 50 IEEE C DEC CONT, P417

[8]

Liberzon D., 2003, SYS CON FDN, P190, DOI 10.1007/978-1-4612-0017-8

[9] On stability of linear switched differential algebraic equations [J].

Liberzon, Daniel ;

Trenn, Stephan .

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :2156-2161

[10] Stability and stabilization of a class of fuzzy time-delay descriptor systems [J].

Lin, Chong ;

Wang, Qing-Guo ;

Lee, Tong Heng .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (04) :542-551

← 1 2 3 →