Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System
This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The synchronization model between FO master and slave PMSGs with capacitive and resistive...
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| Veröffentlicht in: | IEEE transactions on fuzzy systems 2023-05, Vol.31 (5), p.1742-1755 |
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| creator | Luo, Shaohua Song, Yongduan Lewis, Frank L. Garrappa, Roberto Li, Shaobo |
| description | This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The synchronization model between FO master and slave PMSGs with capacitive and resistive couplings is built. The dynamic analysis fully reveals its abundant dynamical behaviors including chaotic oscillations and gives stability/instability boundaries with the designed numerical method. In controller design, the hierarchical type-2 fuzzy neural network (HT2FNN) with a transformation is designed to approximate unknown functions, the fixed-time command filter matched up with the compensating signal is proposed to achieve precise estimate and fast convergence, and a fixed-time preconfigured performance function integrated with a smooth and invertible function is built to realize fixed-time convergence and performance constraint. Then a fuzzy fixed-time optimal synchronization control scheme fusing with the HT2FNN, filter, performance function and optimal control is developed under the FO backstepping theory. The stability analysis proves that all signals of the closed-loop system are bounded along with the cost function being minimized. Finally, numerical simulation results verify the feasibility and advantages of our scheme. |
| doi_str_mv | 10.1109/TFUZZ.2022.3213977 |
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The synchronization model between FO master and slave PMSGs with capacitive and resistive couplings is built. The dynamic analysis fully reveals its abundant dynamical behaviors including chaotic oscillations and gives stability/instability boundaries with the designed numerical method. In controller design, the hierarchical type-2 fuzzy neural network (HT2FNN) with a transformation is designed to approximate unknown functions, the fixed-time command filter matched up with the compensating signal is proposed to achieve precise estimate and fast convergence, and a fixed-time preconfigured performance function integrated with a smooth and invertible function is built to realize fixed-time convergence and performance constraint. Then a fuzzy fixed-time optimal synchronization control scheme fusing with the HT2FNN, filter, performance function and optimal control is developed under the FO backstepping theory. The stability analysis proves that all signals of the closed-loop system are bounded along with the cost function being minimized. Finally, numerical simulation results verify the feasibility and advantages of our scheme.</description><identifier>ISSN: 1063-6706</identifier><identifier>EISSN: 1941-0034</identifier><identifier>DOI: 10.1109/TFUZZ.2022.3213977</identifier><identifier>CODEN: IEFSEV</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Backstepping ; Closed loops ; Control systems design ; Convergence ; Cost function ; Couplings ; Dynamic stability ; Dynamical analysis ; Feedback control ; Fuzzy control ; fuzzy fixed-time optimal synchronization control ; Fuzzy logic ; Generators ; hierarchical type-2 fuzzy neural network (HT2FNN) ; Mathematical models ; Nonlinear dynamical systems ; Numerical methods ; Optimal control ; Permanent magnets ; Stability analysis ; Synchronism ; Synchronization ; Synchronous machines ; Time optimal control ; Time synchronization ; uncertainty ; unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system ; Wind turbines</subject><ispartof>IEEE transactions on fuzzy systems, 2023-05, Vol.31 (5), p.1742-1755</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c295t-8c6fcfa2b71c9b5b2a9d15c2e9a4f0cb08c7629cdc059b151dac3de7fb5f27483</citedby><cites>FETCH-LOGICAL-c295t-8c6fcfa2b71c9b5b2a9d15c2e9a4f0cb08c7629cdc059b151dac3de7fb5f27483</cites><orcidid>0000-0002-7881-0885 ; 0000-0003-4074-1615 ; 0000-0003-4759-6000 ; 0000-0002-3949-1914 ; 0000-0002-2167-1861</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9954186$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>315,781,785,797,27926,27927,54760</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9954186$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Luo, Shaohua</creatorcontrib><creatorcontrib>Song, Yongduan</creatorcontrib><creatorcontrib>Lewis, Frank L.</creatorcontrib><creatorcontrib>Garrappa, Roberto</creatorcontrib><creatorcontrib>Li, Shaobo</creatorcontrib><title>Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System</title><title>IEEE transactions on fuzzy systems</title><addtitle>TFUZZ</addtitle><description>This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The synchronization model between FO master and slave PMSGs with capacitive and resistive couplings is built. The dynamic analysis fully reveals its abundant dynamical behaviors including chaotic oscillations and gives stability/instability boundaries with the designed numerical method. In controller design, the hierarchical type-2 fuzzy neural network (HT2FNN) with a transformation is designed to approximate unknown functions, the fixed-time command filter matched up with the compensating signal is proposed to achieve precise estimate and fast convergence, and a fixed-time preconfigured performance function integrated with a smooth and invertible function is built to realize fixed-time convergence and performance constraint. Then a fuzzy fixed-time optimal synchronization control scheme fusing with the HT2FNN, filter, performance function and optimal control is developed under the FO backstepping theory. The stability analysis proves that all signals of the closed-loop system are bounded along with the cost function being minimized. Finally, numerical simulation results verify the feasibility and advantages of our scheme.</description><subject>Backstepping</subject><subject>Closed loops</subject><subject>Control systems design</subject><subject>Convergence</subject><subject>Cost function</subject><subject>Couplings</subject><subject>Dynamic stability</subject><subject>Dynamical analysis</subject><subject>Feedback control</subject><subject>Fuzzy control</subject><subject>fuzzy fixed-time optimal synchronization control</subject><subject>Fuzzy logic</subject><subject>Generators</subject><subject>hierarchical type-2 fuzzy neural network (HT2FNN)</subject><subject>Mathematical models</subject><subject>Nonlinear dynamical systems</subject><subject>Numerical methods</subject><subject>Optimal control</subject><subject>Permanent magnets</subject><subject>Stability analysis</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>Synchronous machines</subject><subject>Time optimal control</subject><subject>Time synchronization</subject><subject>uncertainty</subject><subject>unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system</subject><subject>Wind turbines</subject><issn>1063-6706</issn><issn>1941-0034</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kM1OwzAQhCMEEuXnBeBiiXOK7cSJfawKBaSiItFeeokcZwOuErvYjkT6GDwxKUU97Wp2ZrT6ouiG4DEhWNwvZ6v1ekwxpeOEkkTk-Uk0IiIlMcZJejrsOEviLMfZeXTh_QZjkjLCR9HPQ29kqxWaGNn0XnskTYVm3W7Xo5n-hipe6hbQYht0Kxv03hv16azROxm0NWhqTXC2QbZGK6Mr7UDtddk0_XDrtg0MZQv0Bq6VBkxAr_LDQDj22M6jJzDgZLBuUH2A9io6q2Xj4fp_Xkar2eNy-hzPF08v08k8VlSwEHOV1aqWtMyJEiUrqRQVYYqCkGmNVYm5yjMqVKUwEyVhpJIqqSCvS1bTPOXJZXR36N06-9WBD8XGdm743ReUY84ZTrgYXPTgUs5676Autm5A4fqC4GLPvvhjX-zZF__sh9DtIaQB4BgQgqWEZ8kvU3SEqQ</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Luo, Shaohua</creator><creator>Song, Yongduan</creator><creator>Lewis, Frank L.</creator><creator>Garrappa, Roberto</creator><creator>Li, Shaobo</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-7881-0885</orcidid><orcidid>https://orcid.org/0000-0003-4074-1615</orcidid><orcidid>https://orcid.org/0000-0003-4759-6000</orcidid><orcidid>https://orcid.org/0000-0002-3949-1914</orcidid><orcidid>https://orcid.org/0000-0002-2167-1861</orcidid></search><sort><creationdate>20230501</creationdate><title>Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System</title><author>Luo, Shaohua ; Song, Yongduan ; Lewis, Frank L. ; Garrappa, Roberto ; Li, Shaobo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c295t-8c6fcfa2b71c9b5b2a9d15c2e9a4f0cb08c7629cdc059b151dac3de7fb5f27483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Backstepping</topic><topic>Closed loops</topic><topic>Control systems design</topic><topic>Convergence</topic><topic>Cost function</topic><topic>Couplings</topic><topic>Dynamic stability</topic><topic>Dynamical analysis</topic><topic>Feedback control</topic><topic>Fuzzy control</topic><topic>fuzzy fixed-time optimal synchronization control</topic><topic>Fuzzy logic</topic><topic>Generators</topic><topic>hierarchical type-2 fuzzy neural network (HT2FNN)</topic><topic>Mathematical models</topic><topic>Nonlinear dynamical systems</topic><topic>Numerical methods</topic><topic>Optimal control</topic><topic>Permanent magnets</topic><topic>Stability analysis</topic><topic>Synchronism</topic><topic>Synchronization</topic><topic>Synchronous machines</topic><topic>Time optimal control</topic><topic>Time synchronization</topic><topic>uncertainty</topic><topic>unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system</topic><topic>Wind turbines</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Luo, Shaohua</creatorcontrib><creatorcontrib>Song, Yongduan</creatorcontrib><creatorcontrib>Lewis, Frank L.</creatorcontrib><creatorcontrib>Garrappa, Roberto</creatorcontrib><creatorcontrib>Li, Shaobo</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on fuzzy systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Luo, Shaohua</au><au>Song, Yongduan</au><au>Lewis, Frank L.</au><au>Garrappa, Roberto</au><au>Li, Shaobo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System</atitle><jtitle>IEEE transactions on fuzzy systems</jtitle><stitle>TFUZZ</stitle><date>2023-05-01</date><risdate>2023</risdate><volume>31</volume><issue>5</issue><spage>1742</spage><epage>1755</epage><pages>1742-1755</pages><issn>1063-6706</issn><eissn>1941-0034</eissn><coden>IEFSEV</coden><abstract>This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The synchronization model between FO master and slave PMSGs with capacitive and resistive couplings is built. The dynamic analysis fully reveals its abundant dynamical behaviors including chaotic oscillations and gives stability/instability boundaries with the designed numerical method. In controller design, the hierarchical type-2 fuzzy neural network (HT2FNN) with a transformation is designed to approximate unknown functions, the fixed-time command filter matched up with the compensating signal is proposed to achieve precise estimate and fast convergence, and a fixed-time preconfigured performance function integrated with a smooth and invertible function is built to realize fixed-time convergence and performance constraint. Then a fuzzy fixed-time optimal synchronization control scheme fusing with the HT2FNN, filter, performance function and optimal control is developed under the FO backstepping theory. The stability analysis proves that all signals of the closed-loop system are bounded along with the cost function being minimized. Finally, numerical simulation results verify the feasibility and advantages of our scheme.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TFUZZ.2022.3213977</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0002-7881-0885</orcidid><orcidid>https://orcid.org/0000-0003-4074-1615</orcidid><orcidid>https://orcid.org/0000-0003-4759-6000</orcidid><orcidid>https://orcid.org/0000-0002-3949-1914</orcidid><orcidid>https://orcid.org/0000-0002-2167-1861</orcidid></addata></record> |
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| subjects | Backstepping Closed loops Control systems design Convergence Cost function Couplings Dynamic stability Dynamical analysis Feedback control Fuzzy control fuzzy fixed-time optimal synchronization control Fuzzy logic Generators hierarchical type-2 fuzzy neural network (HT2FNN) Mathematical models Nonlinear dynamical systems Numerical methods Optimal control Permanent magnets Stability analysis Synchronism Synchronization Synchronous machines Time optimal control Time synchronization uncertainty unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system Wind turbines |
| title | Dynamic Analysis and Fuzzy Fixed-Time Optimal Synchronization Control of Unidirectionally Coupled FO Permanent Magnet Synchronous Generator System |
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