Delay-dependent stability analysis of singular linear continuous-time system

被引：47

作者：

Boukas, EK ^{[1
]}

Liu, ZK ^{[1
]}

机构：

[1] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada

来源：

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2003年 / 150卷 / 04期

关键词：

D O I：

10.1049/ip-cta:20030635

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper deals with the class of singular linear continuous systems. By decomposing the singular linear system with time-delay into slow and fast subsystems, linear matrix inequality (LMI)-based delay-dependent stability and stabilisation conditions are established, and an LMI-based algorithm to design a memoryless state feedback control that stabilises the system is provided. Two numerical examples are solved to show the usefulness and validness of the theoretical results.

引用

页码：325 / 330

页数：6

共 9 条

[1]

[Anonymous], DETERMINISTIC STOCHA

[2]

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

[3]

DAI LY, 1988, LECT NOTES CONTROL I, V118

[4] Stability of some linear systems with delays [J].

Kolmanovskii, VB ;

Richard, JP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :984-989

[5] Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach [J].

Li, X ;

deSouza, CE .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1144-1148

[6] Robustness analysis of uncertain linear singular systems with output feedback control [J].

Lin, JL ;

Chen, SJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (10) :1924-1929

[7] Input-output decoupling of linear time-varying singular systems [J].

Liu, XP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :1016-1021

[8] Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay [J].

Shi, P ;

Boukas, EK ;

Agarwal, RK .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (11) :2139-2144

[9] RECURRING THEOREM ABOUT PAIRS OF QUADRATIC-FORMS AND EXTENSIONS - SURVEY [J].

UHLIG, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 25 (01) :219-237

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