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Dissipativity-based sampled-data control for fuzzy Markovian jump systems. (English) Zbl 1428.93118

Summary: 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 \(x(t_k)\) to \(x(t)\) and \(x(t)\) to \(x(t_{k + 1})\) are fully utilized, the stochastically stable criteria and strictly \((\mathcal{Q,S,R})-\gamma \)-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.

MSC:

93E15 Stochastic stability in control theory
60J28 Applications of continuous-time Markov processes on discrete state spaces
93D15 Stabilization of systems by feedback
93C57 Sampled-data control/observation systems
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