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Interdisciplinary Education Promotes Scientific Research Innovation: Take the Composite Control of the Permanent Magnet Synchronous Motor as an Example

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  • Peng Gao

    (School of Electrical Engineering, Tongling University, Tongling 244061, China
    Anhui Engineering Research Center of Intelligent Manufacturing of Copper-Based Materials, Tongling 244061, China)

  • Liandi Fang

    (Anhui Engineering Research Center of Intelligent Manufacturing of Copper-Based Materials, Tongling 244061, China
    College of Mathematics and Computer Science, Tongling University, Tongling 244061, China)

  • Huihui Pan

    (School of Electrical Engineering, Tongling University, Tongling 244061, China
    Anhui Engineering Research Center of Intelligent Manufacturing of Copper-Based Materials, Tongling 244061, China)

Abstract

Intersecting disciplines, as an important trend in the development of modern academic research and education, have exerted a profound and positive influence on scientific research activities. Based on control theory and fractional-order theory, this paper presents a novel approach for the speed regulation of a permanent magnet synchronous motor (PMSM) in the presence of uncertainties and external disturbances. The proposed method is a composite control based on a model-free sliding mode and a fractional-order ultra-local model. The model-free sliding mode is a control strategy that utilizes the sliding mode control methodology without explicitly relying on a mathematical model of the system being controlled. The fractional-order ultra-local model is a mathematical representation of a dynamic system that incorporates the concept of fractional-order derivatives. The core of the controller is a new type of fractional-order fast nonsingular terminal sliding mode surface, which ensures high robustness, quick convergence, while preventing singularity. Moreover, a novel fractional-order nonlinear extended state observer is proposed to estimate both internal and external disturbances of the fractional-order ultra-local model. The stability of the system is analyzed using both the Lyapunov stability theory and the Mittag–Leffler stability theory. The analysis confirms the convergence stability of the closed-loop system under the proposed control scheme. The comparison results indicate that the proposed composite control based on the fractional-order ultra-local model is a promising solution for regulating the speed of PMSMs in the presence of uncertainties and disturbances.

Suggested Citation

  • Peng Gao & Liandi Fang & Huihui Pan, 2024. "Interdisciplinary Education Promotes Scientific Research Innovation: Take the Composite Control of the Permanent Magnet Synchronous Motor as an Example," Mathematics, MDPI, vol. 12(16), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2602-:d:1462017
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    References listed on IDEAS

    as
    1. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Ma, Ping & Li, Xinkai, 2022. "Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Yaoyao Wang & Fei Yan & Surong Jiang & Bai Chen, 2020. "Adaptive nonsingular terminal sliding mode control of cable-driven manipulators with time delay estimation," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(8), pages 1429-1447, June.
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