Delay-Dependent Robust Stability and Stabilization for Polytopic Systems with Time-Varying Delay

被引：0

作者：

Lee Li ^{[1
]}

Chen Jun-Shen ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Elect Engn, Kaohsiung 80424, Taiwan

来源：

2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年

关键词：

Robust stability; Delayed polytopic systems; LMI; UNCERTAINTIES; CRITERIA;

D O I：

暂无

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 addresses robust stability and stabilization for continuous time-delay systems with polytopic uncertainty. The delay is assumed time-varying with both its value and variation rate being bounded. Based on a new Lyapunov-Krasovskii functional and the application of delay partitioning and the Jensen inequality techniques, a set of sufficient LMI conditions is obtained to ensure the asymptotical stability of a nominal system. Since there is no product term of Lyapunov matrix with any system matrix, the extension to cope with polytopic uncertainty is straightforward. The robust stabilization problem of computing a state feedback gain is also solved. Numerical examples are given to show the effectiveness and the improvement of the derived results.

引用

页码：1263 / 1268

页数：6

共 20 条

[1] A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components [J].

Du, B. ;

Lam, J. ;

Shu, Z. ;

Wang, Z. .

IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (04) :383-390

[2]

Dugard L., 1998, LECTURE NOTES IN CON, V228

[3] Parameter dependent stability and stabilization of uncertain time-belay systems [J].

Fridman, E ;

Shaked, U .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :861-866

[4] Parameter-dependent robust stability of uncertain time-delay systems [J].

Gao, Huijun ;

Shi, Peng ;

Wang, Junling .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) :366-373

[5]

GU K., 2003, CONTROL ENGN SER BIR

[6] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

[7] Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties [J].

He, Y ;

Wu, M ;

She, JH ;

Liu, GP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :828-832

[8] Further improvement of free-weighting matrices technique for systems with time-varying delay [J].

He, Yong ;

Wang, Qing-Guo ;

Xie, Lihua ;

Lin, Chong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299

[9] Criteria for robust stability and stabilization of uncertain linear systems with state delay [J].

Li, X ;

deSouza, CE .

AUTOMATICA, 1997, 33 (09) :1657-1662

[10] 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

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