Synchronization of fractional-order chaotic systems with model uncertainty and external disturbance

This paper investigates the complete synchronization of fractional order chaotic systems with both model uncertainty and external disturbance. Firstly, a new dynamic feedback control method for the synchronization problem of the fractional order nominal systems (without both uncertainty and disturbance) is proposed. Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional order chaotic systems is realized. Finally, the fractional order Lorenz system with numerical simulations is used to demonstrate the correctness and effectiveness of the proposed results.