Parameter Identification of Fractional-order Chaotic System Based on Chemical Reaction Optimization

Abstract

The essence of parameter estimation in fractional chaotic systems is a multi-dimensional parameter optimization problem, which is essential for achieving fractional chaos control and synchronization. In this article, identification of parameters and orders of fractional-order chaotic systems is transformed into optimization of some special nonnegative functions mathematically equivalently. Chemical Reaction Optimization (CRO), a general-purpose metaheuristic to search the optimal solution of the objective function, is selected to solve this optimization problem. Based on the parameter identification of fractional Lorenz chaotic system, fractional chaoticsystem and fractional Volta chaotic system, simulation results show that the algorithm is effective, robust and powerful.