Articles

Adaptive Sliding Mode Control of Distributed Delay Systems

  • LI Birong;LI Yanbo
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  • School of Mathematical Science , Guangxi Teachers Education University, Nanning 530001, China

Received date: 2012-05-14

  Revised date: 2012-07-02

  Online published: 2012-08-08

Abstract

Based on a class of distributed delay systems, an adaptive sliding mode controller is proposed. According to the distributed delays, a suitable Lyapunov-Krasovskii functional is constructed, and the sufficient conditions of the asymptotical stability of the closed-loop systems are expressed in linear matrix inequalities. The adaptive sliding mode controller is constructed to satisfy the sliding mode reaching conditions. The delay-independent integral sliding mode is obtained and the sliding mode controller is simplified by the method. A numerical example is given to illustrate the validity of the proposed method.

Cite this article

LI Birong;LI Yanbo . Adaptive Sliding Mode Control of Distributed Delay Systems[J]. Science & Technology Review, 2012 , 30(22) : 65 -67 . DOI: 10.3981/j.issn.1000-7857.2012.22.009

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