Robust delay-range-dependent stabilization for Markovian jump systems with mode-dependent time delays and nonlinearities

被引：13
作者：
Wang, Guoliang [1 ,2 ]
Zhang, Qingling [1 ,2 ]
Sreeram, Victor [3 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Liaoning Prov, Peoples R China
[2] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China
[3] Univ Western Australia, Dept Elect Elect & Comp Engn, Crawley, WA 6009, Australia
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2010年 / 31卷 / 03期
基金：
美国国家科学基金会;
关键词：
Markovian jump systems; delay-range-dependent; nonlinear disturbances; mode-dependent time delays; H-INFINITY CONTROL; STOCHASTIC-SYSTEMS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; OUTPUT-FEEDBACK; VARYING DELAY;
D O I：
10.1002/oca.901
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 discusses the robust stabilization problem for a class of Markovian jump systems with nonlinear disturbances and time delays, which are time-varying in intervals and depend on system mode. By exploiting a new Lyapunov-Krasovskii functional, which takes into account the range of delay and by making use of novel techniques, mean-square exponential stability result is proposed. Based on the obtained stability condition, a sufficient condition for state feedback controller, which stabilizes system and maximizes the bound on nonlinear perturbations is derived in terms of linear matrix inequalities involving a convex optimization. Finally, illustrative examples are presented to show the benefits and effectiveness of the proposed approaches. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：249 / 264
页数：16
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