In order to improve the robustness and speed of a permanent magnet linear synchronous motor control system, a backstepping control strategy based on super twisting sliding mode control is proposed. First, given the mechanical dynamic equation of the motor, the mathematical model is established. Secondly, a terminal sliding surface based on a super twisting controller is introduced. This can reduce the chattering of the system and ensure the rapid convergence of the sliding surface, thus improving the robustness of the system. The linear motor control system is easy to be affected by parameter changes and external disturbances, thus a neural network disturbance observer is designed for it. Finally, it is verified by a motor experimental platform and the results show the effectiveness of the control method. This work is supported by the National Natural Science Foundation of China (No. 61973140 and No. 61903158) and the Fundamental Research Funds for the Central Universities (No. JUSRP41911 and No. JUSRP22030).