In order to meet the requirement of fast response and strong robustness under load disturbance and parameter change of permanent magnet synchronous motor (PMSM) control, a PMSM sliding mode vector control based on inverse system was proposed.The invertibility of strongly coupled and nonlinear PMSM system was analyzed, based on the inverse system, PMSM was decoupled into a first-order linear torque subsystem and a first-order linear stator torque current system to improve the response speed of the system.The linear continuous function was used to replace the symbolic function in the traditional sliding mode control to design the sliding mode controller to reduce the chattering and improve the robustness and anti-disturbance ability of the system.The stability and control performance of the control system were analyzed.The results show that the proposed control algorithm has a fast response compared with the traditional PI control, and its robustness is significantly improved when the system parameters and load change.