Research On The Control Algorithm Of Chaotic System Based On TS Fuzzy Model

Chaos is a natural non-linear phenomenon,which is widely used in engineering,biology,physics and other fields.Due to feature of chaos involve the periodicity,irregularity and sensitivity affected by initial value.Therefore,chaos control has become one of the hot topic of nonlinear system study in the past 30 years.This paper mainly studies the control of chaotic systems based on T-S fuzzy model.On the basis of previous studies,this paper focuses on how to synchronize the drive response system when the system is uncertainty,and how to synchronize the drive response system and how to estimate the response of system parameters when the response under unknown system parameters,and this paper considers the fuzzy membership functions for sampling data of the fuzzy control of chaotic systems affect under the input saturation constraint.Through the following two aspects of research:On the one hand,due to the chaos system is easy to be affected by the transmission error and other factors in the process of its own signal transmission,there is generally a delay phenomenon in the chaos system,which will make the performance of the chaos system unstable.In addition,many theoretical studies are still conservative.Therefore,in order to reduce the system conservatism,Wirtinger double integral inequality and moon inequality are used to further reduce the conservatism of the system.On the other hand,because chaotic systems are extremely sensitive to system state parameters,small parameter changes will affect the dynamic behavior of chaotic systems.Therefore,in order to solve the synchronization problem of chaotic systems with parameter perturbation,an adaptive synchronization control method is used.For the case where the parameters of the response system are unknown,a suitable Lyapunov functional is constructed,and a suitable parameter adaptation rate is further derived to estimate the unknown parameters of the response system.In addition,the system can relax operating conditions such as limited communication capacity and bandwidth at large sampling intervals.Therefore,when studying the sampling control of chaotic systems,the influence of fuzzy membership function on the stability of the system is considered,and a larger sampling interval is obtained.The above research chaos system is expressed by the T-S fuzzy model.By designing a suitable fuzzy controller,the effectiveness of the proposed scheme is verified by the Lorenz system.