Control Design Problem For Several Classes Of Nonlinear Switched T-S Fuzzy Systems

Because of the wide application of switched system in real life,it is great important to investigated the switched system.In this thesis,the control design and stability analysis are investigated for a class of nonlinear switched systems in the framework of fuzzy T-S model.The main research contents are as follows:(1)A state observer-based robust fuzzy output feedback control design problem is proposed for a class of fuzzy switched systems with immeasurable premise variables in the framework of state dependent switching.The design condition of fuzzy output feedback controller is obtained in the formulation linear matrix inequalities(LMI)by using a one-step method;by using the theory of state space partition and multi Lyapunov stability theory,the design scheme of switching law is given and the closed-loop system is asymptotically stable under the given switching law.The Matlab software is used to verify the correctness and effectiveness of the proposed control theory.(2)The stability analysis and the observer-based output feedback controller design problem are studied for a class of fuzzy switched systems with actuator saturation and time delay.The design method of fuzzy output feedback controller is presented by parallel distributed compensation technique.Finally,using the stability theory of Lyapunov function and the average dwell time(ADT)method,the stability conditions of the fuzzy closed-loop switched system are given.Simulation examples are given to verify the correctness of the proposed control theory.(3)An adaptive output feedback fault tolerant control design is proposed for a class of fuzzy switched systems with time delay and actuator failures.Based on the average dwell time method and the stability theory of Lyapunov function,it is proved that the proposed fuzzy control method can guarantee the asymptotic stability of the fuzzy switched systems with time delay and actuator failures.Simulation software is used to verify the feasibility of fuzzy adaptive fault tolerant control method.(4)An observer-based fuzzy output feedback control design method is given for a class of fuzzy switched stochastic system with input delay.Utilizing Lyapunov function theory,It?? differential formula,and average dwell time method,the condition of the p moment exponentially stable is given and proved for the fuzzy switched stochastic system with input delay.The simulations of the numerical system and the Mass-Spring-Damper system are given to illustrate the correctness and effectiveness of the proposed control method and theory.