Stability Analysis Of T-S Fuzzy Control System

With the constants progress of science and technology,T-S fuzzy control system are loved by more and more researchers.Fuzzy control is a kind of control process based on the operator's experience.For those who experienced operators,they often rely on the abundant experience,and adopt appropriate strategies to control a complex system.If these will be the operator's experience summary and description,and express them in words,you will get a qualitative,imprecise control rules,and then quantify it,it transformed into a fuzzy control algorithm.For any system must meet to be stable,they can work in an orderly way,therefore,aiming at this problem,this paper launches the research on the stability of T-S fuzzy control system.In this paper,the stability of T-S fuzzy control system is analyzed.Firstly,the definition method of the generalized fuzzy Lyapunov function is given by combining the fuzzy Lyapunov function method and the generalized system method.Then,the stability of T-S fuzzy system is studied,and the new stability conditions and the design method of the stabilization controller based on PDC is presented,and the stability of T-S under this method is given.This method not only overcomes the disadvantages of the single Lyapunov function method,but also solves the problem that the computation of the fuzzy Lyapunov function method is too large,and it also relaxes the choice of membership function.Then,a linear inverted pendulum system is introduced,the Sugeno fuzzy model of the inverted pendulum system is derived,and the stability of the inverted pendulum system under the generalized Lyapunov function is proved.Finally,the inverted pendulum is simulated based on the local linearization of the inverted pendulum model,and the simulation results show that the proposed algorithm can achieve the accurate control of the fuzzy model of the inverted pendulum.