Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems

被引：0
|
作者：
Shuping MA 1
2.School of Computer Science and Technology
3.School of Control and Engineering
4.Department of Applied Mathematics
机构：
来源：
Control Theory and Technology | 2008年 / 02期
基金：
美国国家科学基金会;
关键词：
Discrete-time singular system; Markovian jump system; Robust stability and stabilization; H-infinity control; Linear matrix inequality(LMI);
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
The robust stability and stabilization, and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markovian jump standard linear system, and the linear matrix inequality (LMI) conditions for the discrete-time Markovian jump singular systems to be regular, causal, stochastically stable, and stochastically stable with γ-disturbance attenuation are obtained, respectively. With these conditions, the robust state feedback stochastic stabilization problem and H-infinity control problem are solved, and the LMI conditions are obtained. A numerical example illustrates the effectiveness of the method given in the paper.
引用
收藏
页码：133 / 140
页数：8
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