Optimal Synchronization in Dynamically Coupled Fractional-order Chaotic Systems Based on Intelligent Optimization Algorithm with Simulink

In this paper, for the synchronization control of the dynamically coupled fractional-order Rossler system, by reasonably selecting the optimization objective function and using the efficient global optimization ability of the intelligent optimization algorithm, the optimal values of the error system parameters are directly determined; besides, a fractional integral optimal sliding mode control laws is designed, so that the parameters are changed from unknown to known, which avoids the construction of Lyapunov function according to the Lyapunov stability principle and the large amount of calculation of trial and error method, and provides an idea for us to determine the parameters in the system or controller. With the help of MATLAB Simulink, the fractional differential solver is obtained and the Simulink block diagrams of the systems is made. The fast synchronization of the dynamically coupled drive and response system can be achieved by substituting the optimal parameter value into the systems. The numerical simulation results verify the feasibility and effectiveness of the proposed method.