New Stability and Stabilization Conditions of Switched Systems with Mode-Dependent Average Dwell Time

被引：131
作者：
Yin, Yunfei [1 ]
Zhao, Xudong [1 ,2 ]
Zheng, Xiaolong [1 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Chongqing SANY High Intelligent Robots Co Ltd, Chongqing 401120, 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：
Switched systems; Quasi-alternative switching signal; MDADT; Multiple Lyapunov function; POSITIVE LINEAR-SYSTEMS; H-INFINITY CONTROL; EXPONENTIAL STABILITY; UNSTABLE SUBSYSTEMS;
D O I：
10.1007/s00034-016-0306-7
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：
In this paper, the problems of stability and stabilization for switched systems with mode-dependent average dwell time (MDADT) switching are revisited and discussed in both continuous-time and discrete-time contexts. By introducing a class of quasi-alternative switching signals, some improved stability conditions of switched systems with MDADT are obtained. In our switching design strategy, slow switching and fast switching are, respectively, used among stable subsystems and unstable subsystems. Then, based on the stability result, stabilization conditions for switched linear systems comprising uncontrollable subsystems are presented to guarantee the underlying system to be exponentially stable. The criteria obtained for the considered switched linear systems are all provided in terms of a set of linear matrix inequalities. To illustrate the advantages of our established results, a numerical example is finally given.
引用
收藏
页码：82 / 98
页数：17
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