Delay-dependent robust stabilization of uncertain systems with multiple state delays

被引：312

作者：

Cao, YY ^{[1
]}

Sun, YX ^{[1
]}

Cheng, CW ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Ind Proc Control, Hangzhou 310027, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 11期

关键词：

linear systems; robust stabilization; time-delay; uncertainty;

D O I：

10.1109/9.728880

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 stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of several linear matrix inequalities.

引用

页码：1608 / 1612

页数：5

共 18 条

[1]

Boyd S, 1994, Linear Matrix Inequalities in System and Control Theory, V42, P434

[2] 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

[3]

CAO YY, 1997, IEEE T AUTOMAT CONTR, V43

[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]

HALE JK, 1977, THEORY FUNCTIONAL DI

[6] STABILIZATION OF LINEAR-SYSTEMS WITH TIME-VARYING DELAY [J].

IKEDA, M ;

ASHIDA, T .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (02) :369-370

[7] ALL CONTROLLERS FOR THE GENERAL H-INFINITY CONTROL PROBLEM - LMI EXISTENCE CONDITIONS AND STATE-SPACE FORMULAS [J].

IWASAKI, T ;

SKELTON, RE .

AUTOMATICA, 1994, 30 (08) :1307-1317

[8] A NONITERATIVE METHOD FOR THE DESIGN OF LINEAR ROBUST CONTROLLERS [J].

JABBARI, F ;

SCHMITENDORF, WE .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (08) :954-957

[9]

Li X, 1995, PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P3614, DOI 10.1109/CDC.1995.479148

[10] STABILITY OF X(T) = AX(T) + BX(T-TAU) [J].

MORI, T ;

KOKAME, H .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :460-462

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