Abstract: The uniform air gap PMSM (permanent magnet synchronous motor) is studied to control the chaotic oscillation in a certain range of input voltage when the parameters are determined and the stator windings are supplied with direct axis input voltage without load. A control method based on improved function projective synchronization and finite-time stabilization is proposed for chaotic oscillation of the direct axis current, the quadrature axis current, and motor angular velocity in PMSM. Based on Lyapunov stability theorem, an improved function projective synchronization controller is designed and its validity is proved theoretically. The simulation results show that the chaotic system can converge to a stable state in a very short time under the action of the applied controller, and the controller proposed has strong robustness to external disturbances. Compared with the controller designed by input-state linearization method, the system state variables can reach the expected control setpoint faster and maintain the equilibrium state, which has a good dynamic quality.