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

Abstract

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 ( t k + 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.