H∞ Control of Singular Markovian Jump Systems with Bounded Transition Probabilities

被引：0

作者：

Lin, Hongsheng ^{[1
]}

Li, Ying ^{[1
]}

Wang, Guoliang ^{[2
]}

机构：

[1] Shenyang Inst Engn, Dept Preparatory Course, Shenyang 110036, Peoples R China

[2] Liaoning Shihua Univ, Sch Informat & Control Engn, Liaoning 113001, Fushun, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

基金：

中国国家自然科学基金;

关键词：

ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION; DELAY;

D O I：

10.1155/2013/495194

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper discusses H-infinity control problems of continuous-time and discrete-time singular Markovian jump systems (SMJSs) with bounded transition probabilities. Improved sufficient conditions for continuous-time SMJSs to be regular, impulse free, and stochastically stable with gamma-disturbance attenuation are established via less conservative inequality to estimate the transition jump rates, so are the discrete-time SMJSs. With the obtained conditions, the design of a state feedback controller which ensures the resulting closed-loop system to be stochastically admissible and with H-infinity performance is given in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are presented to show the effectiveness and the benefits of the proposed approaches.

引用

页数：8

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