Robust Synchronization and Parameter Identification of fractional order unified chaotic systems

This paper addresses a robust synchronization of fractional order unified systems whilst some parameters need to be identified. Based on the Sliding mode theory, a control law is proposed to realize a robust synchronization and parameter identification of two fractional order unified systems especially in presence of discrepancy in the initial conditions. This is also done when the slave system is perturbed by the uncertainties in the dynamic and parameters of the master are made unknown. A novel switching surface is proposed to perform the task and raise the convergence rate of the error in the closed-loop sliding mode control. Also Unlike many well-known methods of the sliding mode control, no knowledge on the bound of uncertainty and disturbance is required. Simulation approach is given to assess validation and quality of the analysis and design.