Passivity based sliding mode control of uncertain singular Markovian jump systems with time-varying delay and nonlinear perturbations

Baoping Jiang, Cunchen Gao and Jing Xie

Applied Mathematics and Computation, 2015, vol. 271, issue C, 187-200

Abstract: In this paper, a sliding mode control (SMC) with passivity of uncertain singular Markovian jump systems (SMJS) with time-varying delay and nonlinear perturbations is investigated. Firstly, a new integral-type switching surface is designed. Secondly, by introducing free matrix method and Lyapunov functionals, a delay-dependent sufficient condition in terms of strict linear matrix inequalities (LMI) is derived for the resulting sliding mode dynamics such that the closed-loop system is stochastically admissible and robustly passive for all admissible uncertainties. Thirdly, a SMC law is synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.

Keywords: Markovian jump systems; Sliding mode control; Singular systems; Passivity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:187-200

DOI: 10.1016/j.amc.2015.08.118

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