Model Predictive Current Control of a Permanent Magnet Synchronous Machine with Exponential Cost Function

This paper presents the design of a continuous control set model predictive control (CCS-MPC) for a permanent magnet synchronous machine (PMSM). The CCS-MPC is designed for the control of the stator currents of a PMSM following a similar scheme to the one introduced in field-oriented control (FOC). In the presented CCS-MPC, the proposed cost function is modified by the introduction of a set of orthogonal functions known as Laguerre functions. Furthermore, an exponential cost function is introduced to afford long horizon predictions. The control law is derived by the formulation of a constrained optimization problem. By the introduction of the Laguerre functions and the exponential cost function, the computational burden is reduced and a long prediction horizon can be accomplished. Simulation results on Matlab/Simulink are presented to verify the performance of the proposed methodology.