Modern industry demands more and more AC speed control system, and permanent magnet synchronous motor drive control system is easy to be affected by internal and external disturbances, so the speed control system needs to have excellent anti-disturbance performance. First, on the premise of vector control principle and current inner loop model, a linear state observer is introduced to observe the motor dq axis current and loop disturbance. Based on the dynamic equation of permanent magnet synchronous motor current, a current loop linear active disturbance rejection controller is designed to compensate the disturbance caused by model mismatch, and the influence of parameter perturbation on the system is analyzed. Secondly, based on the motor velocity outer loop model, a linear state observer is used to observe the actual motor velocity and velocity loop disturbance, and a linear velocity loop active disturbance rejection controller is designed combining with the dynamic equation to study the system state changes caused by the load sudden change and parameter change, so as to estimate and compensate the load disturbance. Finally, under the conditions of parameter change and load change, compared with the traditional PI control, the proposed control strategy decreases the speed fluctuation by 54.95% on average when the motor parameters are mismatched, 51.79% when the moment of inertia changes, and 60.7% when the load is added and unloaded, which verifies the effectiveness of the control strategy.