Robust adaptive synchronization of a class of uncertain non-smooth-air-gap PMSM chaotic systems

This paper considers the synchronization problem of a class of non-smooth-air-gap PMSM chaotic systems with unknown parameters. Based on the adaptive control idea, a new adaptive controller is implemented to synchronize the uncertain PMSM chaotic system. By denoting the synchronization error signal as the difference between the drive system and the response system, the synchronization error system is derived. The asymptotic stability of the zero equilibrium point for the synchronization error system is proved via Lyapunov stability theory. Simulation study is carried out to verify the effectiveness of the proposed chaotic synchronization method.