Adaptive chaotic synchronization of permanent magnet synchronous motors with nonsmooth air-gap

A synchronization control method is proposed for the chaotic system of the permanent magnet synchronous motor (PMSM) with nonsmooth air-gap. First, the model of the PMSM in the rotor-field-oriented frame is transformed into a simple dimensionless form via the multi-time-scale transformation, and then the chaotic behaviors of the PMSM are analyzed by means of the phase portrait and the bifurcation diagram. The period-doubling bifurcation is considered the major cause for the PMSM to be chaotic. Finally, by employing the Lyapunov stability theory, we design an adaptive controller for realizing the chaotic synchronization of the PMSM. Numerical simulation results confirm the correctness of the theoretical analysis and validity of the proposed method.