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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2021
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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) |
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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 |
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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 |
_version_ |
1718432416190693376 |