Fuzzy Synchronization Control of Fractional-order Rossler Chaotic Systems

The fractional-order Rossler chaotic systems are modeled using fractional-order T-S fuzzy model.The parallel distributed compensation method is used to design the fuzzy state feedback controller to enable poles of the closed loop systems to be placed inside the stability zone,thus satisfying the asymptotical stability requirements of the closed loop systems.Synchronization of two fractional-order Rossler chaotic systems with different initial states is achieved by the designed fuzzy state feedback synchronization controller.The effectiveness of the proposed scheme is demonstrated with numerical simulation results.