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

Li Yang, Fuzhao Yang, Weitao Sheng, Kun Zhou and Tianmin Huang
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Li Yang: School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, 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

Energies, 2021, vol. 14, issue 21, 1-15

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.

Keywords: direct-drive permanent magnet synchronous generator (D-PMSG); wind turbine; fractional order nonlinear system (FONS); fuzzy control; chaos; Mittag–Leffler stability; uncertain parameters (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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