Sliding mode control of discrete-time switched systems with time-delay

被引：40

作者：

Yu, Xiaoxi ^{[1
]}

Wu, Chunfeng ^{[2
]}

Liu, Fangzhou ^{[1
]}

Wu, Ligang ^{[1
]}

机构：

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

[2] Hubei Space Technol Acad, Designing Inst, Wuhan 430034, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 01期

基金：

中国国家自然科学基金; 黑龙江省自然科学基金;

关键词：

STABILITY ANALYSIS; ROBUST STABILITY; NEUTRAL SYSTEMS; CRITERIA; STABILIZATION; DESIGN;

D O I：

10.1016/j.jfranklin.2012.05.015

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, the problem of sliding mode control of a discrete-time switched system with time-varying delay is investigated. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is proposed to guarantee the exponential stability of the switched systems with time delays. The conservation of the obtained results is reduced by employing the delay partitioning method and the free-weighting matrix technique. A sliding mode controller has been designed to force the closed-loop system to be driven onto a prescribed sliding surface and maintained there for all subsequent time. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory. (c) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：19 / 33

页数：15

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