Speed control of a permanent magnet synchronous motor utilizing fractional-order principles

The response speed and robustness of the permanent magnet synchronous motor (PMSM) have been significant research topics. In this paper, we extend the integer-order model of PMSM mechanical motion equations to fractional order. The Oustaloup approximation is employed to derive the fractional-order approximation model. This model is utilized as the basis for designing fractional-order predictive function control (FPFC) to achieve motor speed tracking. To address the control accuracy issue arising from internal and external system disturbances, we design an enhanced fractional-order extended state observer (FESO). This observer improves interference immunity by estimating and compensating for total disturbances. Additionally, the FESO addresses the issue of poor performance in the traditional extended state observer (ESO) when estimating high-frequency disturbances in fractional-order systems. Simulation results demonstrate that the newly designed composite controller exhibits improved control performance. Hence, implementing this method in practice can enhance the operational efficiency and production quality of industrial cyber-physical systems.