Robust Stability and Stabilization Criteria for Discrete Singular Time-Delay LPV Systems

被引:36
作者
Zhang, Xian [1 ]
Zhu, Huanyu [1 ]
机构
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
关键词
Discrete singular time-delay systems; stability; stabilization; linear parameter varying systems; delay-partition approach;
D O I
10.1002/asjc.418
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 is concerned with establishing robust stability and stabilization criteria for discrete singular time-delay linear parameter varying (LPV) systems. Firstly, a robust stability criterion is obtained for this class of systems by a delay-partition approach, and thereby a less conservative sufficient condition which guarantees discrete singular time-delay LPV systems to be admissible is given. Secondly, a class of state feedback controllers for stabilizing discrete singular time-delay LPV systems is designed. Finally, compared with existing results, the numerical results of several examples illustrate the effectiveness of the approach proposed in this paper. Copyright (c) 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
引用
收藏
页码:1084 / 1094
页数:11
相关论文
共 16 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]   Robust stability condition for continuous-time systems [J].
Chughtai, SS ;
Munro, N .
ELECTRONICS LETTERS, 2004, 40 (16) :978-979
[3]   New Delay-dependent Robust Stability of Discrete Singular Systems with Time-varying Delay [J].
Du, Zhaoping ;
Qiu, Zhanzhi ;
Zhang, Qingling ;
Liu, Lili .
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, :6359-+
[4]   Improved Stability and Stabilization Results for Discrete Singular Delay Systems via Delay Partitioning [J].
Feng, Zhiguang ;
Lam, James ;
Gao, Huijun ;
Du, Baozhu .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :7210-7215
[5]   Affine parameter-dependent Lyapunov functions and real parametric uncertainty [J].
Gahinet, P ;
Apkarian, P ;
Chilali, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :436-442
[6]  
GU K., 2003, CONTROL ENGN SER BIR
[7]  
Ji XF, 2006, P AMER CONTR CONF, V1-12, P3843
[8]   ROBUST STABILIZATION FOR UNCERTAIN DISCRETE SINGULAR TIME-DELAY SYSTEMS [J].
Ji, Xiaofu ;
Yang, Zebin ;
Su, Hongye .
ASIAN JOURNAL OF CONTROL, 2010, 12 (02) :216-222
[9]   Delay-dependent robust stability and stabilisation for uncertain discrete singular systems with time-varying delays [J].
Ma, S. ;
Cheng, Z. ;
Zhang, C. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :1086-1095
[10]   Delay-dependent stability and H∞ control for uncertain discrete switched singular systems with time-delay [J].
Ma, Shuping ;
Zhang, Chenghui ;
Wu, Zhen .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) :413-424