Local stabilization of discrete-time linear systems with saturating controls: An LMI-based approach

被引：141

作者：

da Silva, JMG ^{[1
]}

Tarbouriech, S

机构：

[1] UFRGS, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil

[2] CNRS, LAAS, F-31077 Toulouse 4, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 01期

关键词：

discrete-time systems; control saturation; linear matrix inequalities; local stability;

D O I：

10.1109/9.898703

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 note deals with the problem of local stabilization of linear discrete-time systems subject to control saturation. A linear matrix inequalitie-based framework is proposed in order to compute a saturating state feedback that stabilizes the system with respect to a given set of admissible initial states and, in addition, guarantees some dynamical performances when the system operates in the zone of linear behavior (i.e., when the controls are not saturated).

引用

页码：119 / 125

页数：7

共 18 条

[1] SPECIAL ISSUE IN MEMORY OF BREAKWEEL,J.V .2. INTRODUCTION [J].

BERNHARD, P .

DYNAMICS AND CONTROL, 1995, 5 (01) :5-6

[2]

Boyd S., 1994, SIAM STUDIES APPL MA

[3]

Burgat C., 1996, NONLINEAR SYSTEMS

[4]

Chilali M., 1996, IEEE T AUTOMAT CONTR, V41

[5]

Gahinet P., 1995, LMI Control Toolbox

[6]

Goh KC, 1996, INT J ROBUST NONLIN, V6, P1079, DOI 10.1002/(SICI)1099-1239(199611)6:9/10<1079::AID-RNC270>3.0.CO

[7]

2-#

[8]

Gomes Da Silva J. M., 1997, PROC 2 IFAC S ROBUST, P229

[9] SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR DISCRETE-TIME-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS [J].

LIN, ZL ;

SABERI, A .

SYSTEMS & CONTROL LETTERS, 1995, 24 (02) :125-132

[10] Semiglobal stabilization of linear discrete-time systems subject to input saturation via linear feedback - An ARE-based approach [J].

Lin, ZL ;

Saberi, A ;

Stoorvogel, AA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (08) :1203-1207

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