Low-Complexity Model Predictive Control of a Permanent Magnet Synchronous Machine System

The permanent magnet synchronous machine (PMSM) is widely used in hybrid electric vehicles. The current control is a difficult challenge because is characterized by fast dynamics that are subject to physical and control constraints. As such, this paper presents a novel current control strategy of a PMSM system. It uses a one step ahead model predictive control scheme based on flexible Lyapunov functions concept. Firstly, the quadratic constraints related to the system states and control inputs are approximated with polytopic constraints. Then, the current control problem is reduced to a linear program, which can be solved on-line. To illustrate the effectiveness of the proposed control scheme a numerical example is provided and the obtained results show good performance while the physical constraints are satisfied all the time.