Hopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control

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dc.contributor.authorWei, Zhouchao
dc.contributor.authorYousefpour, Amin
dc.contributor.authorJahanshahi, Hadi
dc.contributor.authorMoroz, Irene
dc.contributor.buuauthorKocamaz, Uğur Erkin
dc.contributor.departmentBursa Uludağ Üniversitesi/Karacabey Meslek Yüksekokulu/Bilgisayar Teknolojileri Bölümü.tr_TR
dc.contributor.orcid0000-0003-1172-9465tr_TR
dc.contributor.researcheridAAE-3356-2019tr_TR
dc.contributor.scopusid55549566400tr_TR
dc.date.accessioned2024-01-19T07:35:10Z
dc.date.available2024-01-19T07:35:10Z
dc.date.issued2021-01
dc.description.abstractHaving found hidden hyperchaos in a 5D self-exciting homopolar disc dynamo, we study the existence of a Hopf bifurcation, which leads to unstable limit cycles bifurcating from a stable equilibrium. Hidden chaos with only stable equilibria can be observed from the Hopf bifurcation: a typical way to enable hidden attractors to be located. We then provide a new fuzzy controller, and a fast fuzzy disturbance observer, based on terminal sliding mode control for synchronization of the hyperchaotic system. Fuzzy inference is considered to weaken the chattering phenomena. Using Lyapunov stability theory, the stability of the closed-loop system is proved. Finally, simulations of synchronization are illustrated to show the efficient performance of the designed control method via external disturbances and dynamic uncertainties. Crown Copyright (C) 2020 Published by Elsevier Ltd on behalf of The Franklin Institute. All rights reserved.en_US
dc.description.sponsorshipNational Natural Science Foundation of China (NSFC) (11772306)en_US
dc.description.sponsorshipNatural Science Foundation of Zhejiang Province (LY20A020001)en_US
dc.description.sponsorshipFundamental Research Funds for the Central Universities (CUGGC05)en_US
dc.description.sponsorshipZhejiang Provincial Natural Science Foundation of Chinaen_US
dc.description.sponsorshipChina University of Geosciences, Wuhanen_US
dc.description.sponsorshipFundamental Research Funds for the Central Universitiesen_US
dc.description.sponsorshipChina University of Geosciences (CUGGC05)en_US
dc.identifier.citationKocamaz, U.E. (2021). "Hopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control".Journal of the Franklin Institute, 358(1), 814-833.en_US
dc.identifier.endpage833tr_TR
dc.identifier.issn0016-0032
dc.identifier.issn1879-2693
dc.identifier.issue1tr_TR
dc.identifier.scopus2-s2.0-85097455423tr_TR
dc.identifier.startpage814tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.jfranklin.2020.11.011
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0016003220307766
dc.identifier.urihttps://hdl.handle.net/11452/39179
dc.identifier.volume358tr_TR
dc.identifier.wos000620238600010tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.collaborationYurt dışı
dc.relation.journalJournal of the Franklin Instituteen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject4-Dimensional chaotic systemen_US
dc.subjectUnknown-parametersen_US
dc.subjectAdaptive-controlen_US
dc.subjectDesignen_US
dc.subjectFeedbacken_US
dc.subjectClosed loop systemsen_US
dc.subjectFuzzy inferenceen_US
dc.subjectInteractive devicesen_US
dc.subjectSliding mode controlen_US
dc.subjectSynchronizationen_US
dc.subjectDynamic uncertaintyen_US
dc.subjectExternal disturbancesen_US
dc.subjectFuzzy disturbance observersen_US
dc.subjectHyper-chaotic systemsen_US
dc.subjectLyapunov stability theoryen_US
dc.subjectStable equilibriumen_US
dc.subjectTerminal sliding mode controlen_US
dc.subjectUnstable limit cyclesen_US
dc.subjectHopf bifurcationen_US
dc.subject.scopusHyperchaotic System; Attractor; Phase Portraiten_US
dc.subject.wosAutomation & Control Systemsen_US
dc.subject.wosEngineering, Multidisciplinaryen_US
dc.subject.wosEngineering, Electrical & Electronicen_US
dc.subject.wosMathematics, Interdisciplinary Applicationsen_US
dc.titleHopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode controlen_US
dc.typeArticleen_US
dc.wos.quartileQ2en_US

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