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

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 mechan...

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Autores principales: Li Yang, Fuzhao Yang, Weitao Sheng, Kun Zhou, Tianmin Huang
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/5dbd34f1e45747758f031dc5979c49de
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spelling oai:doaj.org-article:5dbd34f1e45747758f031dc5979c49de2021-11-11T16:05:02ZFuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design10.3390/en142173691996-1073https://doaj.org/article/5dbd34f1e45747758f031dc5979c49de2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7369https://doaj.org/toc/1996-1073To 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.Li YangFuzhao YangWeitao ShengKun ZhouTianmin HuangMDPI AGarticledirect-drive permanent magnet synchronous generator (D-PMSG)wind turbinefractional order nonlinear system (FONS)fuzzy controlchaosMittag–Leffler stabilityTechnologyTENEnergies, Vol 14, Iss 7369, p 7369 (2021)
institution DOAJ
collection DOAJ
language EN
topic direct-drive permanent magnet synchronous generator (D-PMSG)
wind turbine
fractional order nonlinear system (FONS)
fuzzy control
chaos
Mittag–Leffler stability
Technology
T
spellingShingle direct-drive permanent magnet synchronous generator (D-PMSG)
wind turbine
fractional order nonlinear system (FONS)
fuzzy control
chaos
Mittag–Leffler stability
Technology
T
Li Yang
Fuzhao Yang
Weitao Sheng
Kun Zhou
Tianmin Huang
Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
description 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.
format article
author Li Yang
Fuzhao Yang
Weitao Sheng
Kun Zhou
Tianmin Huang
author_facet Li Yang
Fuzhao Yang
Weitao Sheng
Kun Zhou
Tianmin Huang
author_sort Li Yang
title Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
title_short Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
title_full Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
title_fullStr Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
title_full_unstemmed Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
title_sort fuzzy chaos control of fractional order d-pmsg for wind turbine with uncertain parameters by state feedback design
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/5dbd34f1e45747758f031dc5979c49de
work_keys_str_mv AT liyang fuzzychaoscontroloffractionalorderdpmsgforwindturbinewithuncertainparametersbystatefeedbackdesign
AT fuzhaoyang fuzzychaoscontroloffractionalorderdpmsgforwindturbinewithuncertainparametersbystatefeedbackdesign
AT weitaosheng fuzzychaoscontroloffractionalorderdpmsgforwindturbinewithuncertainparametersbystatefeedbackdesign
AT kunzhou fuzzychaoscontroloffractionalorderdpmsgforwindturbinewithuncertainparametersbystatefeedbackdesign
AT tianminhuang fuzzychaoscontroloffractionalorderdpmsgforwindturbinewithuncertainparametersbystatefeedbackdesign
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