Research ArticleStudy of the fractional order proportional integral controller for the permanent magnet synchronous motor based on the differential evolution algorithm

- Based on the fractional order model of the PMSM servo system, a tuning method of the fractional order proportional integral speed controller is proposed, combining the robustness specification and the intelligent optimization algorithm.
- The combination of the integral of time and absolute error and the phase margin is taken as the optimization criterion. The obtained control system can achieve the optimal dynamic response performance.
- The robustness specification is taken as the constraint condition. The obtained controller can ensure the control system to be robust to gain variations.

A tuning method of the fractional order proportional integral speed controller for a permanent magnet synchronous motor is proposed in this paper. Taking the combination of the integral of time and absolute error and the phase margin as the optimization index, the robustness specification as the constraint condition, the differential evolution algorithm is applied to search the optimal controller parameters. The dynamic response performance and robustness of the obtained optimal controller are verified by motor speed-tracking experiments on the motor speed control platform. Experimental results show that the proposed tuning method can enable the obtained control system to achieve both the optimal dynamic response performance and the robustness to gain variations.