Passivity and Passification for Stochastic Systems with Markovian Switching and Generally Uncertain Transition Rates

被引：18

作者：

Qi, Wenhai ^{[1
]}

Kao, Yonggui ^{[2
]}

Gao, Xianwen ^{[3
]}

机构：

[1] Qufu Normal Univ, Dept Automat, Rizhao 276826, Peoples R China

[2] Harbin Inst Technol, Coll Sci, Weihai 264200, Peoples R China

[3] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Generally uncertain transition rates; linear matrix inequalities; Markovian switching; state feedback controller; TIME-VARYING DELAYS; SLIDING MODE CONTROL; H-INFINITY CONTROL; JUMP SYSTEMS; ROBUST STABILIZATION; NONLINEAR-SYSTEMS; STABILITY; OBSERVER; PROBABILITIES; DISTURBANCES;

D O I：

10.1007/s12555-016-0615-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper deals with the problems of passivity and passification for stochastic systems with Markovian switching and generally uncertain transition rates. The considered systems are more general, which cover uncertain transition rates and partly known transition rates as two special cases. By employing the multiple Lyapunov function and some free-weighting matrices, a state feedback controller is constructed such that the resulted closed-loop system is stochastically passive. Some sufficient conditions for the solution to the problem are derived in the form of linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the validity of the main results.

引用

页码：2174 / 2181

页数：8

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