Regularization and robust control of uncertain singular discrete-time linear systems

被引：0

作者：

Ibrir, Salim ^{[1
]}

机构：

[1] Concordia Univ, Dept Mech & Ind Engn, Montreal, PQ H3G 1M8, Canada

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2007年 / 24卷 / 01期

关键词：

singular systems; linear matrix inequalities; regularization; discrete-time systems; system theory;

D O I：

10.1093/imamci/dnl011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

New sufficient linear matrix inequality (LMI) condition for regularization of singular discrete-time systems subject to norm-bounded uncertainties is given. Then a new class of feedback is proposed to stabilize singular uncertain discrete-time systems with unknown time delays. The regularization and the stabilizability condition of this class of systems is given in terms of one strict LMI. A numerical example is given to show the novelty of the control design.

引用

页码：71 / 80

页数：10

共 18 条

[1]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[2] Feedback design for regularizing descriptor systems [J].

Bunse-Gerstner, A ;

Byers, R ;

Mehrmann, V ;

Nichols, NK .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 299 (1-3) :119-151

[3]

Chu DL, 2000, J COMPUT MATH, V18, P43

[4] Minimum norm regularization of descriptor systems by mixed output feedback [J].

Chu, DL ;

Mehrmann, V ;

Nichols, NK .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 296 (1-3) :39-77

[5]

Dai L., 1989, SINGULAR CONTROL SYS, V118

[6] Memoryless H∞ controllers for discrete-time systems with time delay [J].

Kapila, V ;

Haddad, WM .

AUTOMATICA, 1998, 34 (09) :1141-1144

[7] Robust control for parameter uncertain delay systems in state and control input [J].

Kim, JH ;

Jeung, BT ;

Park, HB .

AUTOMATICA, 1996, 32 (09) :1337-1339

[8] On Kalman's controllability and observability criteria for singular systems [J].

Koumboulis, FN ;

Mertzios, BG .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1999, 18 (03) :269-290

[9] A SURVEY OF LINEAR SINGULAR SYSTEMS [J].

LEWIS, FL .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1986, 5 (01) :3-36

[10]

LIE X, 1997, IEEE T AUTOMAT CONTR, V42, P1144

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