Robust stabilization for dynamic systems with multiple time-varying delays and nonlinear uncertainties

被引：60

作者：

Park, JH ^{[1
]}

机构：

[1] Yeungnam Univ, Sch Elect Engn & Comp Sci, Kyongsan, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 108卷 / 01期

关键词：

uncertain systems; robust stabilization; multiple time delays; Lyapunov method; linear matrix inequalities;

D O I：

10.1023/A:1026470106976

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Tn this paper, the problem of the robust stabilization for a class of uncertain linear systems with multiple time-varying delays is investigated. The uncertainty is nonlinear time-varying and does not require a matching condition. A memoryless state-feedback controller for the robust stabilization of the system is proposed. Based on the Lyapunov method and the linear matrix inequality (LMI) approach, two sufficient conditions for the stability are derived. Two numerical examples are given to illustrate the proposed method.

引用

页码：155 / 174

页数：20

共 11 条

[1]

ALVERT A, 1969, SIAM J APPL MATH, V17, P434

[2]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[3] Robust stabilization of uncertain systems with time-varying multistate delay [J].

Cao, YY ;

Sun, YX .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (10) :1484-1488

[4] 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

[5]

Gahinet P., 1995, LMI Control Toolbox

[6] ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].

KHARGONEKAR, PP ;

PETERSEN, IR ;

ZHOU, KM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361

[7]

LIEN CH, 1988, J MATH ANAL APPL, V218, P369

[8] DESIGN OF ROBUST CONTROLLERS FOR TIME-DELAY SYSTEMS [J].

MAHMOUD, MS ;

ALMUTHAIRI, NF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) :995-999

[9] MEMORYLESS STABILIZATION OF UNCERTAIN DYNAMIC DELAY SYSTEMS - RICCATI EQUATION APPROACH [J].

SHEN, JC ;

CHEN, BS ;

KUNG, FC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (05) :638-640

[10] ROBUST STABILITY OF UNCERTAIN TIME-DELAY SYSTEMS AND ITS STABILIZATION BY VARIABLE STRUCTURE CONTROL [J].

SHYU, KK ;

YAN, JJ .

INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (01) :237-246

← 1 2 →