Aiming at the problems of frequent overshoot and slow response time in space vector direct torque control system of permanent magnet synchronous motor, a control strategy based on a fast-super-twisting algorithm was proposed. Based on the traditional super-twisting algorithm, the fast terminal sliding mode reaching law (FTSMRL) is introduced in the strategy, which improves the algorithm's robustness and convergence speed, suppresses the sliding mode chattering. The stability of the system is proved by using a quasi-quadratic Lyapunov function. Simulation results show that the proposed strategy can effectively improve the response speed and robustness of the system, and significantly reduce the system overshoot and sliding mode chattering.

Aiming at the problems of severe chattering and difficulty in low‐speed operation of the surface‐mounted permanent magnet synchronous motor (SPMSM) sensor‐less speed control system based on the traditional sliding mode observer (SMO), this paper proposes a sensor‐less control strategy of supertwisting sliding mode observer based on adaptive feedback gain (AFG‐STA‐SMO). This strategy combines the supertwisting algorithm (STA) with the equivalent feedback principle and designs an adaptive law to compensate for the rotor position error by adjusting the feedback gain coefficient online. Secondly, considering the ripple component in the back electromotive force (back‐EMF), the Kalman filter gets a smoother back‐EMF signal, further improving the rotor position estimation accuracy. The stability of the system is proved by using the Lyapunov function. Finally, the feasibility and effectiveness of the proposed control strategy are verified by MATLAB/Simulink simulation.

To achieve the high‐performance control of the surface‐mounted permanent magnet synchronous motor (SPMSM) speed control system, this paper proposes a high‐order sliding mode control strategy based on a new super twisting algorithm (NSTA). This strategy introduces an adaptive term in its proportional term based on the original super twisting algorithm, which solves low reaching speed and poor antidisturbance ability due to the square root calculation of proportional term in the original super twisting algorithm. The simulation results show that the proposed strategy can effectively improve the system’s response speed and antidisturbance and greatly suppress the chattering phenomenon of traditional sliding mode control.