Criteria for robust stability and stabilization of uncertain linear systems with state delay

被引:411
作者
Li, X
deSouza, CE
机构
[1] UNIV NEWCASTLE,DEPT ELECT & COMP ENGN,NEWCASTLE,NSW 2308,AUSTRALIA
[2] LAB NACL COMP CIENT,BR-22290160 RIO JANEIRO,BRAZIL
关键词
time-delay systems; robust stability; robust stabilizability; state feedback; linear matrix inequalities; MEMORYLESS STABILIZATION; SUFFICIENT CONDITIONS; TIME-DELAY; DEPENDENCE;
D O I
10.1016/S0005-1098(97)00082-4
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 robust stability analysis and robust stabilization for a class of uncertain linear systems with a time-varying state delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state-space model. We develop delay-dependent methods for robust stability analysis and robust stabilization via linear memoryless state feedback. The proposed methods are given in terms of linear matrix inequalities. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:1657 / 1662
页数:6
相关论文
共 24 条
[1]  
[Anonymous], STUDIES APPL MATH
[2]  
[Anonymous], 1994, Studies in Applied Mathematics Series)
[3]   ON STABILITY INDEPENDENT OF DELAY FOR LINEAR-SYSTEMS [J].
BRIERLEY, SD ;
CHIASSON, JN ;
LEE, EB ;
ZAK, SH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (01) :252-254
[4]   ON SUFFICIENT CONDITIONS FOR STABILITY INDEPENDENT OF DELAY [J].
CHEN, J ;
XU, DM ;
SHAFAI, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (09) :1675-1680
[5]   STABILIZATION OF UNCERTAIN DYNAMIC-SYSTEMS INCLUDING STATE DELAY [J].
CHERES, E ;
GUTMAN, S ;
PALMOR, ZJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (11) :1199-1203
[6]  
Hale JK., 1993, INTRO FUNCTIONAL DIF, DOI [10.1007/978-1-4612-4342-7, DOI 10.1007/978-1-4612-4342-7]
[7]   NECESSARY AND SUFFICIENT CONDITIONS FOR DELAY-INDEPENDENT STABILITY OF LINEAR AUTONOMOUS SYSTEMS [J].
LEWIS, RM ;
ANDERSON, BDO .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (04) :735-739
[8]   DELAY-INDEPENDENT ROBUST STABILITY OF UNCERTAIN LINEAR-SYSTEMS [J].
LUO, JS ;
JOHNSON, A ;
VANDENBOSCH, PPJ .
SYSTEMS & CONTROL LETTERS, 1995, 24 (01) :33-39
[9]   QUADRATIC STABILIZATION OF CONTINUOUS-TIME SYSTEMS WITH STATE-DELAY AND NORM-BOUNDED TIME-VARYING UNCERTAINTIES [J].
MAHMOUD, MS ;
ALMUTHAIRI, NF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (10) :2135-2139
[10]  
MALEKZAVAREI M, 1987, TIME DELAY SYSTEMS