Stabilization for Positive Markovian Jump Systems with Actuator Saturation

被引：10

作者：

Qi, Wenhai ^{[1
]}

Gao, Xianwen ^{[1
]}

Kao, Yonggui ^{[2
]}

Lian, Lian ^{[1
]}

Wang, Jiyang ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

[2] Harbin Inst Technol, Sch Sci, Weihai 264209, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2017年 / 36卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Positive Markovian jump systems; Actuator saturation; Stochastic stability; Convex optimization; Linear Matrix inequalities; DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS; CONTROLLER-DESIGN; STOCHASTIC STABILITY; INPUT SATURATION; ANTIWINDUP; SUBJECT; DELAYS; MODEL;

D O I：

10.1007/s00034-016-0307-6

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 considers stabilization for positive Markovian jump systems in the presence of actuator saturation. Firstly, we use a Lyapunov function approach and convex analysis to derive sufficient conditions for stochastic stability and positivity of the continuous- and discrete-time cases. Then, the state feedback controller design and the estimate of the domain of attraction are presented by solving a convex optimization problem with linear matrix inequalities. Finally, numerical examples are given to demonstrate the validity of the main results.

引用

页码：374 / 388

页数：15

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