Sliding mode control for singular stochastic Markovian jump systems with uncertainties

Zhang, Qingling, Li, Li, Yan, Xinggang, Spurgeon, Sarah K. (2017) Sliding mode control for singular stochastic Markovian jump systems with uncertainties. Automatica, 79 . pp. 27-34. ISSN 0005-1098. (doi:10.1016/j.automatica.2017.01.002)

Abstract

This paper considers sliding mode control design for singular stochastic Markovian jump systems with uncertainties. A suitable integral sliding function is proposed and the resulting sliding mode dynamics is an uncertain singular stochastic Markovian jump system. A set of new sufficient conditions is developed which not only guarantees the stochastic admissibility of the sliding mode dynamics, but is also constructive and determines all the parameter matrices in the integral sliding function. A set of new sufficient conditions is developed which not only guarantees the stochastic admissibility of the sliding mode dynamics, but also determines all the parameter matrices in the integral sliding function. Then, a sliding mode control law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, three examples are given to demonstrate the effectiveness of the results.

Item Type: Article
DOI/Identification number: 10.1016/j.automatica.2017.01.002
Uncontrolled keywords: Singular systems; Stochastic systems; Markovian jump systems; Sliding mode control
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Xinggang Yan
Date Deposited: 16 Feb 2017 09:41 UTC
Last Modified: 29 May 2019 18:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/60406 (The current URI for this page, for reference purposes)
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