Synchronization for Fractional Order Chaotic Systems with Uncertain Parameters

This paper deals with the synchronization of fractional order chaotic systems with uncertain parameters. An adaptive control law consisting of fractional order feedback and sliding mode control is proposed. The two fractional order chaotic systems can be synchronized and the uncertain parameters can be identified under the controller and the update rule proposed. Illustrative example and numerical simulation results are provided to demonstrate the effectiveness of the control method proposed.