Some Control Problem For Chaos System Lü Based On T-S Fuzzy Model

With the development of science and technology,control methods continuously improve and make rapidly progress.More and more control method has been applied to the new scientific problems.Chaotic system,as a new subject,has been widely concerned,in which chaotic Lu system as a special class of chaotic systems has drawn great attention in recent years.On the other hand,fuzzy control is an important branch of intelligent control,and based on the T-S fuzzy model,mature theoretical of linear systems can be used to study problems of nonlinear control.At present,the application of fuzzy theory to control chaotic systems has made some achievements, however,relatively small,most of which is about the stability analysis.This article use the T-S fuzzy model to model the chaotic systems to solve some control problems conveniently.Stability is the most important indicators of control system for the controller designing.The chaotic system is a nonlinear control system essentially.It is difficult to analysis its stability.As the chaotic systems with complexity of non-linear and uncertainties,fuzzy control can be a powerful supplement of the traditional control theory.Since T-S fuzzy model proposed,the traditional control theory and fuzzy control have been well combined.T-S fuzzy model is special with the linear characteristics under the fuzzy framework.By using the Lyapunov stability theory and the linear system control theory with uncertainties,the stability of fuzzy systems can be solved mostly.Therefore,in this thesis,T-S fuzzy model is used here to analyze and solve the stability problem of Lii chaos system.In this thesis,base on predecessors,by using T-S fuzzy model to approximate the chaos system,the Schur complement lemma,the parallel distribution compensation,the weighted average defuzzification,a fuzzy controller is designed,furthermore,the guaranteed cost control,robust control,tracking control are also studied.T-S fuzzy model can change nonlinear systems into linearization form,and play a very effective role when design the controller.The simulation results show that the T-S fuzzy model using in the chaotic system has great applying potential.The work of the thesis shows that the T-S fuzzy model with linear consequent,by using the local information and expert experiences,can approach the chaotic control object with arbitrarily precision.In addition,the applying fuzzy control to the chaotic systems can provide another new thought to the study of general fuzzy systems,which will rich the general fuzzy system theory to some extent.