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Zbl 1236.93038
Wu, Ligang; Ho, Daniel W.C.; Li, C.W.
Sliding mode control of switched hybrid systems with stochastic perturbation. (English)
[J] Syst. Control Lett. 60, No. 8, 531-539 (2011). ISSN 0167-6911

Summary: 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.

MSC 2000:: *93B12 Variable structure systems
93C30 Control systems governed by other functional relations

Keywords: average Dwell time; mean-square exponential stability; sliding mode control (SMC); stochastic systems; switched systems

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