In order to solve the contradiction between the chattering and dynamic response performance of the sliding mode control system, a fuzzy sliding mode control strategy is proposed to adjust the switching gain in real time according to the system error. When the speed error is large, the switching gain becomes larger and the dynamic response performance of the system is improved. When the speed error is small, the switching gain becomes smaller and the chattering of the system is reduced. For fuzzy control, the new fuzzy rule is proposed, and the speed error is taken as a single input variable, which simplifies the parameter tuning. The sliding mode controller uses the constant speed reaching law and the saturation function instead of the sign function to further reduce the chattering. Simulation analysis and experimental results show that the fuzzy sliding mode control system can effectively reduce the system chattering while improving the dynamic response performance.