Synchronization of different fractional-ordered chaotic systems using optimized active control

摘要

This paper investigates the synchronization of two different fractional-order chaotic systems with optimized active controller. Based on some properties on fractional calculus and particle swarm optimization (PSO) algorithm we propose a new method to achieve the synchronization between two different fractional-order systems. For synchronization of two systems nonlinear feedback control is proposed based on the concept of active control technique. The analytical conditions for converging synchronization's errors of these different fractional-order systems are derived by utilizing Laplace transform. We present an example and by comparing with general active control method synchronization, performance of proposed method is shown.