In order to improve the dynamic performance of permanent magnet synchronous motor(PMSM)and suppress the jitter problem,this paper proposes a vector control method combining the global fast terminal and the disturbance compensation observer,which designs the global fast terminal sliding mode controller(GFTSMC)in the velocity loop and combines the improved exponential approach law(IERL)to further shorten the response time of the system and weaken the jitter phenomenon of the moving point on the sliding mode surface.In order to compensate for the disturbance problems existing in the operation of the permanent magnet synchronous motor,an improved ESO was designed to observe the unknown disturbance and compensate for the feedforward compensation.At the same time,a sliding mode position observer was designed to realize the detection of position signals.The simulation results show that the control strategy in this paper further improves the response speed of the speed control system,reduces the steady- state error,enhances the anti-interference performance,and can detect the rotor position more accurately,the speed response time is increased by 0.043 s,and the maximum speed error is reduced from 69.9 to 11.75 r/min.