[Objective] To improve the anti-disturbance capability of the speed control system for permanent magnet synchronous motor (PMSM), this paper proposes a predictive speed control (PSC) strategy with fixed switching frequency and disturbance compensation. The speed loop adopts PSC with disturbance compensation, while the current loop adopts proportional integral (PI) control. [Methods] Firstly, the q-axis reference current for realizing the target speed was derived from the mechanical motion equation of the PMSM. To enhance the accuracy of q-axis current tracking, a second-order Taylor expansion of the mechanical motion equation was proposed, which proved to be more precise than first-order forward Eulerian discretization. Secondly, traditional sliding mode observers rely on large switching gains to ensure the observation errors converge to zero within a finite period of time. However, these large switching gains often lead to severe jitter phenomena. Therefore, an improved sliding mode disturbance observer (SMD