Model predictive control (MPC) has been widely investigated as an advanced control method for permanent magnet linear synchronous motors (PMLSMs). It is known that the computational burden is usually heavy when multi-step MPC is considered. In this paper, a computationally efficient multi-step continuous control set MPC approach is proposed for the current control loop of a PMLSM. A non-singular terminal sliding mode control is employed for the speed control loop to reduce the influence caused by external disturbances. To further improve the closed-loop control performance, a load observer is designed to estimate the load changes in real time. Simulations and experiments reveal the effectiveness of the proposed control method for PMLSMs, which facilitates practical applications.
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