Asynchronously switched control of switched linear systems with average dwell time

被引：741

作者：

Zhang, Lixian ^{[1
]}

Gao, Huijun ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

来源：

AUTOMATICA | 2010年 / 46卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金; 国家教育部博士点专项基金资助;

关键词：

Asynchronous switching; Average dwell time; Stabilizing control; Switched linear systems; LYAPUNOV FUNCTIONS; STABILITY; STATE; STABILIZATION; DELAY;

D O I：

10.1016/j.automatica.2010.02.021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper concerns the asynchronously switched control problem for a class of switched linear systems with average dwell time (ADT) in both continuous-time and discrete-time contexts. The so-called asynchronous switching means that the switchings between the candidate controllers and system modes are asynchronous. By further allowing the Lyapunov-like function to increase during the running time of active subsystems, the extended stability results for switched systems with ADT in nonlinear setting are first derived. Then, the asynchronously switched stabilizing control problem for linear cases is solved. Given the increase scale and the decrease scale of the Lyapunov-like function and the maximal delay of asynchronous switching, the minimal ADT for admissible switching signals and the corresponding controller gains are obtained. A numerical example is given to show the validity and potential of the developed results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：953 / 958

页数：6

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