Finite-time asynchronous control of linear time-varying switched systems

被引：11

作者：

Wang, Ronghao ^{[1
]}

Xing, Jianchun ^{[1
]}

Xiang, Zhengrong ^{[2
]}

机构：

[1] Army Engn Univ, Natl Def Engn Coll, Nanjing 210007, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2021年 / 35卷 / 09期

基金：

中国国家自然科学基金;

关键词：

asynchronous control; finite-time boundedness; finite-time stability; nonlinear differential matrix inequalities; time-varying switched systems; ASYMPTOTIC STABILITY; DELAYS;

D O I：

10.1002/acs.3291

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 the framework of asynchronous control, finite-time stabilization and finite-time bounded stabilization of linear time-varying (LTV) switched systems are investigated. A necessary and sufficient condition for finite-time stability (FTS) of LTV switched systems is proposed based on differential matrix inequalities (DMIs). Moreover, we extend the FTS result to the case of finite-time boundedness (FTB), and present a sufficient condition of FTB for LTV switched systems using the average dwell time method which can be used for design proposes. Then we turn to the design problem of asynchronously switched control to guarantee FTS or FTB of LTV switched systems and give a sufficient condition for the state feedback stabilization in the form of nonlinear DMIs (NDMIs). A numerical method is proposed to solve NDMIs approximately. Finally, two examples are given to illustrate the validity of the results.

引用

页码：1824 / 1841

页数：18

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