Robust sliding mode control for Markovian jump singular systems with randomly changing structure

Wenying Zhao, Yuechao Ma, Aihong Chen, Lei Fu and Yutong Zhang

Applied Mathematics and Computation, 2019, vol. 349, issue C, 81-96

Abstract: This paper discusses the robust optimization by a sliding mode control (SMC) approach for uncertain singular Markovian jump (SMJ) time-varying delay system with nonlinear perturbation, which uncertainties occur randomly. Firstly, a different integral-type sliding mode surface (SMS) and a different Lyapunov–Krasovskii function are introduced. Secondly, by using linear matrix inequalities, sufficient conditions are proposed to ensure the mean-square exponentially admissible (MSEA) with an H∞ performance level γ of the unforced uncertain SMJ time-varying delay system in the specified SMS. Next, a composed SMC law with the parameter uncertainties occurring randomly can ensure the reachability of the predefined SMS. Finally, three numerical examples are given to test the feasibility of the theory.

Keywords: Singular systems; Markovian jump systems; Integral sliding mode control; Time-varying delays; Linear matrix inequality; Randomly occurring uncertainties (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:81-96

DOI: 10.1016/j.amc.2018.12.014

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