Robust fuzzy control for nonlinear impulsive stochastic systems with Markov jumps and delay

摘要

This paper deals with the robust fuzzy control for a class of nonlinear impulsive stochastic delay systems with Markov jumps. The nonlinear systems under consideration are represented by the Takagi-Sugeno (T-S) fuzzy model because of the difficulty of solving that. Firstly, the criterion of mean square exponential stability is established. Secondly, based on the idea of parallel distributed compensation (PDC), the exponentially stabilized state-feedback fuzzy controllers are designed via solving a set of matrix inequalities. Finally, a numerical example is given to show the correctness and effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.