This paper proposes an SMC+DPCC control strategy to address the issues of large speed overshoot, large error when the stator current reaches steady state, and poor resistance to external interference in the PI dual closed-loop control method of PMSM. The speed control method adopts sliding mode control with exponential reaching law with fal() function. The control method for stator current is deadbeat predictive control. The MATLAB simulation results show that the SMC+DPCC control strategy proposed in this paper improves the anti-external interference ability of PMSM, while reducing the overshoot of speed and the error of stator current reaching steady-state.