Robust H-infinity fuzzy control for uncertainMarkovian jump nonlinear singular systems withwiener process

This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovianjump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy modelis employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is todesign a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for alladmissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, aprescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developedto solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, anumerical simulation is given to illustrate the effectiveness of the proposed method.