Robust H-infinity fuzzy control for uncertain Markovian jump nonlinear singular systems with wiener process  

作　　者：Aiqing ZHANG 1 , Huajing FANG 2 (1.College of Mathematics and Computer Science, Jianghan University, Wuhan Hubei 430056, China 2.Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China) 

出　　处：《控制理论与应用（英文版）》2010年第2期205-210,共6页

基　　金：supported by the National Natural Science Foundation of China (No.60574088, 60274014);the Research Plan Program of Scienceand Technology Ministry of Wuhan (No. 200950199019-07)

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

关 键 词：Fuzzy control H-infinity control Singular systems Stochastic stability Linear matrix inequality (LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]