DELAY-DEPENDENT STABILITY AND H∞ CONTROL OF STOCHASTIC TIME-DELAY SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS

被引：3

作者：

Ma, Li ^{[1
,2
]}

Da, Fei-Peng ^{[1
]}

Wu, Lingyao ^{[1
]}

机构：

[1] Southeast Univ, Key Lab Measurement & Control Complex Syst Engn, Minist Educ, Res Inst Automat, Nanjing 210096, Jiangsu, Peoples R China

[2] Jiangsu Univ, Coll Elect & Informat Engn, Zhenjiang 212013, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 06期

关键词：

Stochastic time-delay systems; Markov chain; H-infinity control; linear matrix inequality; EXPONENTIAL STABILITY; ROBUST STABILITY; VARYING DELAY; STABILIZATION; NONLINEARITY; EQUATIONS;

D O I：

10.1002/asjc.270

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the mean-square exponential stability and H-infinity control problems are investigated for a general class of stochastic time-delay systems with Markovian jumping parameters. First, a delay-dependent result in terms of linear matrix inequalities (LMIs) for mean-square exponential stability and H-infinity performance analysis is presented by constructing a modified Lyapunov-Krasovskii functional. The decay rate can be chosen in a range to be a finite positive constant without equation constraint. Then, based on the proposed stability result, we derive sufficient condition to solve the H-infinity controller design problem. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.

引用

页码：1065 / 1074

页数：10

共 19 条

[1] DELAY DEPENDENT STABILIZATION OF LINEAR TIME-VARYING SYSTEM WITH TIME DELAY
Alaviani, S. Sh.
[J]. ASIAN JOURNAL OF CONTROL, 2009, 11 (05) : 557 - 563
[2] [Anonymous], 2001, EXERCISES PROBABILIT
[3] Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
Chen, WH
Guan, ZH
Lu, XM
[J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (06) : 547 - 555
[4] Comments and further results on "A descriptor system approach to H∞ control of linear time-delay systems"
Gao, HJ
Wang, CH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) : 520 - 525
[5] Improved exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delay
He, Yong
Zhang, Yan
Wu, Min
She, Jin-Hua
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (01) : 16 - 26
[6] Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems
Huang, Lirong
Mao, Xuerong
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (01) : 147 - 152
[7] Laurent E G, 1997, IEEE T AUTOMAT CONTR, V42, P1171
[8] LEE JH, 1994, IEEE T AUTOMAT CONTR, V39, P159, DOI 10.1109/9.273356
[9] Mao XR, 2002, IEEE T AUTOMAT CONTR, V47, P1604, DOI [10.1109/TAC.2002.803529, 10.1109/TAC.2002.804529]
[10] Robust stability of uncertain stochastic differential delay equations
Mao, XR
Koroleva, N
Rodkina, A
[J]. SYSTEMS & CONTROL LETTERS, 1998, 35 (05) : 325 - 336

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