Model-Free Sliding Mode Control of Permanent Magnet Linear Synchronous Motor Using Dynamic Gain Time Delay Estimation

This paper proposes a model-free sliding mode control (MFSMC) using dynamic gain time delay estimation (DGTDE) to improve the position tracking performance of permanent magnet linear synchronous motor (PMLSM). First, an abstract order model of PMLSM is established, which eliminates the motor parameters and nonlinear terms in the conventional dynamic model. On this basis, a nonsingular fast terminal sliding mode (NFTSM) manifold is designed to guarantee the high precision convergence of the system in finite time. Then, the lumped disturbance is simply obtained using the DGTDE method and feed-forward compensation is made to the control loop. The proposed control gain adaptive algorithm can adjust itself online based on tracking errors, thereby balancing the comprehensive control performance of the system under uncertainties. Overall, the proposed method is model free, robust, and adaptive. Finally, comparative experimental results under different operating conditions demonstrate the effectiveness and superiority of the proposed method.