H∞ control for a class of stochastic switched nonlinear systems: An average dwell time method

被引：30
作者：
Xing, Xing [1 ,2 ]
Liu, Yanli [2 ,3 ]
Niu, Ben [2 ,3 ]
机构：
[1] Bohai Univ, Coll Informat Sci, Jinzhou 121013, Liaoning, Peoples R China
[2] Bohai Univ, Automat Res Inst, Jinzhou 121013, Liaoning, Peoples R China
[3] Bohai Univ, Coll Math & Phys, Jinzhou 121013, Liaoning, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 19卷
基金：
中国国家自然科学基金;
关键词：
Stochastic switched systems; Unstable subsystems; Average dwell time; H-infinity control; OUTPUT-FEEDBACK STABILIZATION; SLIDING MODE CONTROL; LINEAR-SYSTEMS; BACKSTEPPING DESIGN; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; TRACKING CONTROL; DELAYS; DRIVEN; FORM;
D O I：
10.1016/j.nahs.2015.10.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the H-infinity control problem for a class of stochastic switched nonlinear systems by employing an average dwell time approach. First, we present when all subsystems are global asymptotically stable in the mean (GASiM), the stochastic switched system under an average dwell time scheme is GASiM and possesses a weighted L-2-gain. Then we extend this result to the case where both GASiM subsystems and unstable subsystems coexist, by showing that apart from the average dwell time scheme, if the activation time ratio between GASiM subsystems and unstable ones is not less than a specified constant, sufficient conditions for the weighted H-infinity performance of the switched system are guaranteed. Finally, a simulation example is provided to illustrate the validity of the developed results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：198 / 208
页数：11
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