Dissipativity-based sampled-data control for fuzzy Markovian jump systems

Xingyue Liang, Jianwei Xia, Guoliang Chen, Huasheng Zhang and Zhen Wang

Applied Mathematics and Computation, 2019, vol. 361, issue C, 552-564

Abstract: In this paper, the problems of dissipativity analysis and sampled-data control are considered for fuzzy Markovian jump systems. Firstly, by constructing a mode-dependent Lyapunov function consisting of the two-sided closed-loop function where the information of both intervals x(tk) to x(t) and x(t) to x(tk+1) are fully utilized, the stochastically stable criteria and strictly (Q,S,R)-γ-dissipative criteria are proposed in the form of linear matrix inequalities (LMIs). Then, on the basis of the strictly dissipativity criteria, a controller with state feedback is designed for the studied systems. At last, a truck-trailer model is shown to demonstrate the efficiency of the presented method.

Keywords: Fuzzy Markovian jump systems; Dissipativity analysis; Sampled-data control; Two-sided looped function (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:552-564

DOI: 10.1016/j.amc.2019.05.038

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