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

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 swit...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 350; no. 1; pp. 19 - 33
Main Authors Yu, Xiaoxi, Wu, Chunfeng, Liu, Fangzhou, Wu, Ligang
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2013
Subjects
Control systems
Delay
Dwell time
Lyapunov functions
Mathematical models
Partitioning
Sliding mode control
Time delay
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2012.05.015