Since the control function of the traditional sliding mode observer(SMO)adopts the sign function with discontinuity.The back electromotive force of permanent magnet synchronous motor(PMSM)collected by SMO has serious high frequency buffeting,there is a large deviation between estimated rotor position and actual rotor position.In order to improve the sensorless control precision of PMSM,an improved SMO based on a new control function was proposed.The function τ(s)was proposed as a control continuous function,the position information of rotor were obtained by the phase-locked loop,the system buffeting was reduced and the accuracy of rotor position estimation was improved.At the same time,the stability of the system was verified by Lyapunov stability criterion.Finally,the simulation results based on Matlab/Simulink software showed that the proposed improved SMO effectively reduced the buffeting of PMSM anti-electromotive force and improved the control accuracy of the senseless control system of PMSM.