To further improve the fast and stability of indirect matrix converter- driven permanent magnet linear synchronous motor control system, a nonsingular fast terminal sliding mode control algorithm based on disturbance observer is proposed in this paper. First, to realize the fast and accurate tracking control of the position reference signal, a nonlinear fast terminal sliding mode is introduced; secondly, to reduce the effects of load perturbations and parameter variations on the control effect, a broad learning-based disturbance observer is designed for feedforward compensation of disturbances to make full use of the excellent nonlinear approximation capability of broad learning; finally, simulation models are built on the MATLAB/Simulink platform, and the results are verified by comparing with other control methods.