Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System

This chapter addresses a robust synchronization of unified fractional-order chaotic systems whilst some parameters need to be identified. Based on the sliding mode theory, a control law is proposed to perform a robust synchronization together with parameter identification of two fractional-order unified systems. This is also done when the slave system is perturbed by an uncertainty in the dynamic and parameters of the master are assumed unknown. A novel switching surface is proposed to fulfill the task and to raise the convergence rate of the error in the closed-loop sliding mode control. Unlike many well-known sliding mode controls, no knowledge of the bound of uncertainty and disturbance is required. Simulation study is given to assess the validation and the quality of the analysis and design.