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Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design

Author

Listed:
  • Li Yang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
    Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Fuzhao Yang

    (Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Weitao Sheng

    (Electrical & Information Engineering Department, Sichuan Engineering Technical College, Deyang 618000, China)

  • Kun Zhou

    (College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou 310018, China)

  • Tianmin Huang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

Abstract

To research the chaotic motion problem of the direct-drive permanent magnet synchronous generator (D-PMSG) for a wind turbine with uncertain parameters and fractional order characteristics, a control strategy established upon fuzzy state feedback is proposed. Firstly, according to the working mechanism of D-PMSG, the Lorenz nonlinear mathematical model is established by affine transformation and time transformation. Secondly, fractional order nonlinear systems (FONSs) are transformed into linear sub-model by Takagi–Sugeno (T-S) fuzzy model. Then, the fuzzy state feedback controller is designed through Parallel Distributed Compensation (PDC) control principle to suppress the chaotic motion. By applying the fractional Lyapunov stability theory (FLST), the sufficient conditions for Mittag–Leffler stability are formulated in the format of linear matrix inequalities (LMIs). Finally, the control performance and effectiveness of the proposed controller are demonstrated through numerical simulations, and the chaotic motions in D-PMSG can be eliminated quickly.

Suggested Citation

  • Li Yang & Fuzhao Yang & Weitao Sheng & Kun Zhou & Tianmin Huang, 2021. "Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design," Energies, MDPI, vol. 14(21), pages 1-15, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:21:p:7369-:d:672796
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    References listed on IDEAS

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    1. Kai Zhou & Min Ai & Dongyang Sun & Ningzhi Jin & Xiaogang Wu, 2019. "Field Weakening Operation Control Strategies of PMSM Based on Feedback Linearization," Energies, MDPI, vol. 12(23), pages 1-18, November.
    2. Belgacem Herissi & Djalil Boudjehem, 2020. "Fractional-order fuzzy controller for a PMSG wind turbine system," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3237-3250, December.
    3. Rauh, A. & Seelert, W., 1984. "The Betz optimum efficiency for windmills," Applied Energy, Elsevier, vol. 17(1), pages 15-23.
    4. Zhongliang Fu & Chunping Liu & Shengyi Ruan & Kun Chen, 2021. "Design of Neutrosophic Self-Tuning PID Controller for AC Permanent Magnet Synchronous Motor Based on Neutrosophic Theory," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, May.
    5. Zhiyu Jiang & Weifei Hu & Wenbin Dong & Zhen Gao & Zhengru Ren, 2017. "Structural Reliability Analysis of Wind Turbines: A Review," Energies, MDPI, vol. 10(12), pages 1-25, December.
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