Aiming at the problems of low convergence speed and severe system chattering in permanent magnet linear synchronous motor (PMLSM) position tracking based on sliding mode control (SMC), the tracking accuracy of PMLSM control is further improved, and the dynamic quality of the system is improved. Based on the traditional power approaching law, Fal function is introduced, and a new global fast terminal sliding mode is combined. The approaching speed of the system is improved and the chattering of the system is effectively controlled. Outside the SMC system, the disturbance observer can be used to make feedforward compensation for the disturbance signals of the system, which improves the anti-disturbance processing ability of the system. MATLAB/Simulink software is used for computer simulation, and the results are compared with that of the traditional power approaching law SMC. The simulation analysis show that the tracking control algorithm can improve the tracking and control accuracy of the system, and enhance the system’s ability to resist disturbance.