Research on fractional‑order PID control method for permanent magnetic levitation platform

To address the issues of prolonged adjustment time and significant overshoot associated with traditional integer-order PID control in its application to permanent magnet levitation platforms, a fractional-order PID controller is proposed in this paper. To reduce computational complexity, the Oustaloup filter within the controller is simplified. Given the large number of parameters in the fractional-order PID controller, the particle swarm optimization algorithm is employed for parameter tuning. The controller is subsequently simulated, debugged, and validated through suspension, step response, and sinusoidal tracking experiments. The experimental results demonstrate that, in comparison with the integer-order PID controller, the levitation time of the platform is reduced by 1.13 s and the overshoot is decreased by 6%. Furthermore, step response experiments indicate that the overshoot of the integer-order PID controller is 4.7 times greater than that of the fractional-order PID controller, while the response speed of the fractional-order PID controller is increased by 106%.

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Cite this article

[IEEE Style]

J. Jin, J. Song, C. Zhao, W. Pei, Q. Zhang, F. Xu, H. Zhao, F. Sun, "Research on fractional‑order PID control method for permanent magnetic levitation platform," Journal of Power Electronics, vol. 26, no. 4, pp. 855-865, 2026. DOI: 10.1007/s43236-025-01111-4.

[ACM Style]

Junjie Jin, Jiaqi Song, Chuan Zhao, Wenzhe Pei, Qiqiang Zhang, Fangchao Xu, Haining Zhao, and Feng Sun. 2026. Research on fractional‑order PID control method for permanent magnetic levitation platform. Journal of Power Electronics, 26, 4, (2026), 855-865. DOI: 10.1007/s43236-025-01111-4.