Robust Stability of Discrete-Time Switched Delay Systems and Its Application to Network-Based Reliable Control

被引：5

作者：

Dai, Shi-Lu ^{[1
]}

Lin, Hai ^{[2
]}

Ge, Shuzhi Sam ^{[2
,3
]}

机构：

[1] Northeastern Univ, Minist Educ China, Key Lab Integrated Automat Proc Ind, Shenyang 110004, Peoples R China

[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore

[3] Interact Digital Media Inst, Social Robot Lab, Singapore 117576, Singapore

来源：

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年

关键词：

H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZABILITY; FAILURE;

D O I：

10.1109/ACC.2009.5160108

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 addresses the problem of robust stability of discrete-time switched systems with time-varying delays and polytopic uncertainties. It is supposed that the switched systems are composed of both stable and unstable subsystems. Delay-dependent sufficient conditions for robust exponential stability are proposed by employing parameter-dependent piecewise Lyapunov-like functional combined with the free-weighting matrix and average dwell time methods. These sufficient conditions are applied in the study of stability analysis for a network-based reliable control system with controller failures, and the effectiveness of the analysis procedure is demonstrated with numerical simulation on network-based reliable control of cart-pendulum.

引用

页码：2367 / +

页数：2

共 27 条

[1]

[Anonymous], 2005, COMM CONT E

[2]

Boyd S., 1994, LINEAR MATRIX INEQUA

[3] H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach [J].

Du, Dongsheng ;

Jiang, Bin ;

Shi, Peng ;

Zhou, Shaosheng .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1520-1525

[4] Affine parameter-dependent Lyapunov functions and real parametric uncertainty [J].

Gahinet, P ;

Apkarian, P ;

Chilali, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :436-442

[5] New results on stability of discrete-time systems with time-varying state delay [J].

Gao, Huijun ;

Chen, Tongwen .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334

[6]

GU K, 2003, STABILITY TIME TELAY

[7]

Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330

[8] A survey of recent results in networked control systems [J].

Hespanha, Joao P. ;

Naghshtabrizi, Payam ;

Xu, Yonggang .

PROCEEDINGS OF THE IEEE, 2007, 95 (01) :138-162

[9] Stabilization of arbitrary switched linear systems with unknown time-varying delays [J].

Hetel, L. ;

Daafouz, J. ;

Iung, C. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (10) :1668-1674

[10]

Hristu-Varsakelis D, 2001, IEEE DECIS CONTR P, P3631, DOI 10.1109/CDC.2001.980424

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