To improve the anti‐interference ability and response speed of the permanent magnet synchronous motor control system and the problem of excessive chattering when the speed loop of the system is controlled by fast second‐order Super‐Twisting sliding mode control, an improved second‐order Super‐Twisting sliding mode controller is designed to replace the previous speed loop controller. The current loop uses model prediction to control current, which can effectively suppress chattering and improve the robustness of the whole system. The simulation results show that the response time of the system using this algorithm is not only 0.141 s faster than that of the traditional proportional integral control but also the overshoot is reduced by 10%. Then, under different working conditions, the strategy in this paper is compared with the traditional control method, and good characteristics are obtained. Finally, the whole system is used for experimental analysis. The experimental results show that this strategy has good rapidity and robustness.