In order to optimize the dynamic performance of the permanent magnet synchronous motor (PMSM) speed control system,a nonlinear speed control algorithm of the PMSM control system with sliding mode control was used.A new fast integral terminal sliding mode control (FITSMC) was proposed to improve the tracking error convergence speed of the traditional integral terminal sliding mode control when the velocity error is far from the equilibrium point.Then,an improved anti-jamming sliding mode speed controller was proposed for the large jitter phenomenon caused by high switching gain.An extended state observer was introduced to observe lumped disturbances and a feedforward compensation term was added in FITSMC.Finally,the effectiveness of the proposed control method was verified by simulation.The results show that compared with the traditional PI controller,FITSMC can effectively reduce the dynamic speed tracking error.The superiority of the proposed method (FITSMC + ESO) is verified by comparison with the traditional method.