Chaotic Synchronization Method Based On T-S Fuzzy Model

In recent twenty years, chaos theory has gradually into the mature stage, people in understanding the causes of chaos phenomenon, more hope to be able to control the chaos phenomenon, and use to the real life.More and more experts and scholars began to study chaos control.But accurate description of the chaos phenomenon and the mathematical model of the system is difficult to get, theoretically feasible control method applied to the real system may produce large deviation.And the fuzzy controller has a simple structure, strong robustness, is not sensitive to parameter variations and the advantages of strong anti-jamming capability, in dealing with the modeling of complex systems was a great success.Fuzzy theory and the control method of combining chaotic systems has become the important direction of chaos control, its good prospect will be better.Based on the T-S fuzzy model of chua’s chaotic circuit for system modeling, and the mathematical model with output feedback and state feedback controller to realize the synchronization of chaotic systems. In this paper, the main research work and the main achievements are as follows:Firstly,this paper studies the problem of chua’s chaotic circuit based on T-S fuzzy model.T-S fuzzy model is used to establish fuzzy model chua’s chaotic circuit. According to the nonlinear term in the manifestation of chua’s chaotic circuit, accurate modeling method is given. By choosing appropriate before a variable, membership functions and fuzzy rules and various parameters, get with the original chua’s chaotic circuit completely equivalent T-S fuzzy model.Secondly,this paper studies the problem of chua’s chaotic circuit based on T-S fuzzy model of the output feedback synchronization.On the basic of the T-S fuzzy model of chua’s chaotic circuit,using the output feedback synchronization methods, this paper put forward the chua’s chaotic circuit output feedback synchronization method.Based on the Lyapunov stability theory and linear matrix inequalities(LMIs), chua’s chaotic circuit output feedback synchronization conditions are given by numerical simulation synchronization scheme and the effectiveness of the proposed synchronous conditions.Thirdly,this paper studies the problem of chua’s chaotic circuit based on T-S fuzzy model of the state feedback synchronization.Using the state feedback control method, is proposed based on t-s fuzzy model of chua’s chaotic synchronization methods.Based on the Lyapunov stability theory andlinear matrix inequalities(LMIs) get synchronization control gain matrix, using numerical simulation verify the validity of the scheme.