Delay-Dependent Passivity and Passification for Uncertain Singularly Perturbed Markovian Jump Systems with Time-Varying Delay

被引:11
作者
Wang, Yueying [1 ]
Wang, Quanbao [1 ]
Zhou, Pingfang [1 ]
Duan, Dengping [1 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Shanghai 200240, Peoples R China
关键词
Singularly perturbed systems; Markovian jump systems; Passivity; Time delay; Linear matrix inequality (LMI); STABILIZATION; STABILITY; DISCRETE;
D O I
10.1007/s00034-012-9427-9
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper is concerned with passivity analysis and passivity-based controller design for uncertain singularly perturbed Markovian jump systems with time-varying delay in an interval. Firstly, a delay-dependent condition for the considered system to be mean-square exponentially stable and robustly passive is derived in terms of linear matrix inequality. Then, the passification problem is investigated. Based on the obtained passivity condition, the existence of the desired state feedback controller is established. Numerical examples are presented to show the effectiveness of the proposed method.
引用
收藏
页码:2179 / 2194
页数:16
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