Sliding Mode Control for Markovian Switching Singular Systems with Time-Varying Delays and Nonlinear Perturbations | Zendy

Guowei Yang | Zendy; Yonggui Kao | Zendy; Wei Li | Zendy

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Sliding Mode Control for Markovian Switching Singular Systems with Time-Varying Delays and Nonlinear Perturbations

Author(s) -

Guowei Yang,

Yonggui Kao,

Wei Li

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/507828

Subject(s) - control theory (sociology) , nonlinear system , sliding mode control , controller (irrigation) , trajectory , mode (computer interface) , lyapunov function , mathematics , computer science , control (management) , physics , quantum mechanics , artificial intelligence , astronomy , agronomy , biology , operating system

This paper is devoted to investigating sliding mode control (SMC) for Markovian switching singularsystems with time-varying delays and nonlinear perturbations. The sliding mode controlleris designed to guarantee that the nonlinear singular system is stochastically admissible and its trajectorycan reach the sliding surface in finite time. By using Lyapunov functional method, some criteria onstochastically admissible are established in the form of linear matrix inequalities (LMIs). A numericalexample is presented to illustrate the effectiveness and efficiency of the obtained results

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