Passive Synchronization Control for Integer-order Chaotic Systems and Fractional-order Chaotic Systems

The problem of synchronization control for fractional chaotic systems and integer-order chaotic systems is considered. Combined with the idea of tracking control, synchronization of chaotic system based on passive control is proposed. According to the fractional order system stability theory, compensators and passive controllers are designed respectively for the error systems to make the value of synchronization error systems tend to zero, the passive synchronization between fractional order chaotic system and integer order chaotic system is realized under different initial conditions. The effectiveness and feasibility of the designed controller is verified by numerical simulation results. Finally, the superiority of passive synchronization control method in synchronization control of chaotic system is verified by comparing the control effect of passive synchronization control with that of feedback controller.