Research On The Control Algorithm Of Chaotic System Based On Time-delay Division

This paper focus on the synchronization control of chaotic systems.Chaos synchronization is a hot topic in the nonlinear field.Based on the existing research,this paper proposes a chaotic system control algorithm based on delay-partitioning.It mainly studies the following two aspects.On the one hand,considering the situation of multiple delays in chaotic system,a new delay-dependent region partitioning method is combined with the inequality technology to effectively reduce the conservatism.Considering the uncertainty of the system's parameters,the synchronization control of chaotic systems with and without parameter uncertainty is discussed respectively.Based on linear matrix inequality technology and Lyapunov-Krasovskii function method,a robust synchronization controller is designed.The control gain matrix is obtained by solving the LMI toolbox,and the correctness and effectiveness of the control method are verified by using a Chua's circuit example.On the other hand,chaotic systems are a kind of complex nonlinear systems,it is difficult to obtain accurate mathematical models.In order to improve the accuracy of system modeling,fuzzy control methods are used to connect the linear subsystems that reflect the local dynamics of the system into fuzzy dynamic system through fuzzy relationships.Considering the influence of external disturbance on the system,H_? control method is applied to obtain a robust synchronization controller of chaotic system.Delay-partitioning approach,Bessel-Legendre inequality,further reduces the conservativeness.Finally,an example of the coronary artery system was used to prove the effectiveness of the method.