H∞ control for a class of singular systems with state time-varying delay

被引:29
作者
Long, Shaohua [1 ]
Zhong, Shouming [2 ]
机构
[1] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
基金
中国国家自然科学基金;
关键词
Singular system; Time-varying delay; H-infinity control; Lyapunov-Krasovskii functional; Dynamic feedback controller; MARKOVIAN JUMP SYSTEMS; DESCRIPTOR SYSTEMS; ROBUST STABILITY; DISCRETE; STABILIZATION; SYNCHRONIZATION; ADMISSIBILITY; NETWORKS; DESIGN;
D O I
10.1016/j.isatra.2016.10.004
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 the H-infinity control problem for a class of singular systems. The systems under consideration involve state time-varying delay. The aim of this paper is to design a dynamic feedback controller such that the resultant closed-loop system is regular, impulse-free and stable with given H-infinity, performance index. By using the Lyapunov-Krasovskii functional method, some delay-dependent sufficient criteria which guarantee the existence of the dynamic feedback controller and determine explicitly the parameters of the dynamic feedback controller are presented. Finally, some numerical examples are provided to show the effectiveness of the presented approaches. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:10 / 21
页数:12
相关论文
共 39 条
[1]   Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays [J].
Balasubramaniam, P. ;
Krishnasamy, R. ;
Rakkiyappan, R. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (09) :3612-3627
[2]   Admissibility analysis for discrete-time singular systems with randomly occurring uncertainties via delay-divisioning approach [J].
Banu, L. Jarina ;
Balasubramaniam, P. .
ISA TRANSACTIONS, 2015, 59 :354-362
[3]  
DAI L, 1989, LECT NOTES CONTR INF, V118, P1
[4]   Delay-dependent robust H∞ control for uncertain singular systems with state delay [J].
Fang, Mei .
Zidonghua Xuebao/ Acta Automatica Sinica, 2009, 35 (01) :65-70
[5]   New admissibility analysis for discrete singular systems with time-varying delay [J].
Feng, Zhiguang ;
Li, Wenxing ;
Lam, James .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :1058-1066
[6]   On reachable set estimation of singular systems [J].
Feng, Zhiguang ;
Lam, James .
AUTOMATICA, 2015, 52 :146-153
[7]   α-Dissipativity analysis of singular time-delay systems [J].
Feng, Zhiguang ;
Lam, James ;
Gao, Huijun .
AUTOMATICA, 2011, 47 (11) :2548-2552
[8]   H∞-control of linear state-delay descriptor systems:: an LMI approach [J].
Fridman, E ;
Shaked, U .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :271-302
[9]  
Ho YK, 2000, J ROBOTIC SYST, V17, P53, DOI 10.1002/(SICI)1097-4563(200001)17:1<53::AID-ROB3>3.0.CO
[10]  
2-V