Model prediction control system and method for permanent magnet synchronous linear motor

The invention relates to the field of permanent magnet synchronous linear motors, in particular to a model prediction control system and method of a permanent magnet synchronous linear motor. The method comprises the following steps: establishing a dynamic model of the permanent magnet synchronous linear motor on a two-phase synchronous rotation orthogonal coordinate system, and discretizing the dynamic model; introducing an incremental relation to obtain an augmentation model of the system; obtaining an expression of a prediction output vector based on the prediction step length, and designing a model prediction controller according to a linear quadratic optimal control theory; and finally, respectively designing model prediction controllers of a speed loop and a current loop for the cascaded control structure. The most important characteristic of the invention is that the designed model prediction controller has good dynamic performance and steady-state precision based on a discretized mathematical model es