Switching Stabilization for a Class of Slowly Switched Systems

被引：298
|
作者：
Zhao, Xudong [1 ,2 ]
Yin, Shen [3 ]
Li, Hongyi [1 ]
Niu, Ben [4 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China
[4] Bohai Univ, Coll Informat Sci & Technol, Jinzhou 121013, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Mode-dependent average dwell time; stability; stabilization; switched linear systems; LINEAR-SYSTEMS; STABILITY ANALYSIS; STABILIZABILITY;
D O I：
10.1109/TAC.2014.2322961
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 technical note, the problem of switching stabilization for slowly switched linear systems is investigated. In particular, the considered systems can be composed of all unstable subsystems. Based on the invariant subspace theory, the switching signal with mode-dependent average dwell time (MDADT) property is designed to exponentially stabilize the underlying system. Furthermore, sufficient condition of stabilization for switched systems with all stable subsystems under MDADT switching is also given. The correctness and effectiveness of the proposed approaches are illustrated by a numerical example.
引用
收藏
页码：221 / 226
页数：6
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