Nonsingular Terminal Sliding Mode Control Based on Adaptive Time Delay Estimation for Permanent Magnet Linear Synchronous Motor

In the presence of uncertainties, the position tracking performance of permanent magnet linear synchronous motor (PMLSM) will be affected to varying degrees. The time delay estimation (TDE) method can estimate and eliminate the influence of uncertain factors. In order to automatically find the input gain under the optimal TDE error, an adaptive time delay estimation (ATDE) method is proposed by introducing adaptive control. Combined with the nonsingular terminal sliding mode control method, the convergence speed and robust performance of the system are further improved. In addition, through rigorous mathematical analysis, the stability of state variables is proved. Finally, some experimental results are given to prove the effective performance of the control method.