To improve the position tracking accuracy and robustness of the permanent magnet linear synchronous motor control system.A high-order adaptive non singular fast terminal sliding mode control scheme based on extended state observation is proposed for this purpose.Firstly,a high-order non singular fast terminal sliding mode surface was designed to achieve overall control of motor position,speed,and current by introducing feedback current.Secondly, design a new sliding mode approaching law to enable the control system to quickly approach zero error and weaken chattering.Meanwhile,adaptive law estimation is introduced and the convergence law coefficients are adjusted in real- time.Finally,an extended state observation was designed to observe external disturbances,thereby improving the dynamic and steady-state performance of the position tracking system.Based on Lyapunov stability theory,the stability of the control system has been proven.Finally,a model was built on MATLAB simulation for testing,and the simulation results showed that the proposed control method can effectively improve the position tracking accuracy of the system and enhance its anti-interference ability.