Control and synchronization of fractional unified chaotic systems with a single sliding mode controller

This paper deals with control and synchronization of the fractional unified chaotic systems using the sliding mode control technique. For this end, we first introduce a fractional sliding surface. Second, based on the control Lyapunov function we design a single sliding mode controller respectively for the control issue and synchronization problem. The proposed controllers are simple, robust and constructive for practical applications. Finally, we carry out numerical simulations to validate the theoretical analysis.