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.
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页码：374 / 388
页数：15
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