Sliding mode control of switched hybrid systems with stochastic perturbation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

111 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)531-539
Journal / PublicationSystems and Control Letters
Volume60
Issue number8
Publication statusPublished - Aug 2011

Abstract

This paper is concerned with the sliding mode control (SMC) of a continuous-time switched stochastic system. A sufficient condition for the existence of reduced-order sliding mode dynamics is derived and an explicit parametrization of the desired sliding surface is also given. Then, a sliding mode controller is then synthesized for reaching motion. Moreover, the observer-based SMC problem is also investigated. Some sufficient conditions are established for the existence and the solvability of the desired observer and the observer-based sliding mode controller is synthesized. Finally, numerical examples are provided to illustrate the effectiveness of the proposed theory. © 2011 Elsevier B.V. All rights reserved.

Research Area(s)

  • Average dwell time, Mean-square exponential stability, Sliding mode control (SMC), Stochastic systems, Switched systems