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

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.