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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.departmentKaracabey Meslek Yüksekokulu
dc.contributor.departmentBilgisayar Teknolojileri Bölümü
dc.contributor.orcid0000-0003-1172-9465
dc.contributor.researcheridAAE-3356-2019
dc.contributor.scopusid55549566400
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.
dc.description.sponsorshipNational Natural Science Foundation of China (NSFC) (11772306)
dc.description.sponsorshipNatural Science Foundation of Zhejiang Province (LY20A020001)
dc.description.sponsorshipFundamental Research Funds for the Central Universities (CUGGC05)
dc.description.sponsorshipZhejiang Provincial Natural Science Foundation of China
dc.description.sponsorshipChina University of Geosciences, Wuhan
dc.description.sponsorshipFundamental Research Funds for the Central Universities
dc.description.sponsorshipChina University of Geosciences (CUGGC05)
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.
dc.identifier.endpage833
dc.identifier.issn0016-0032
dc.identifier.issn1879-2693
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85097455423
dc.identifier.startpage814
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.volume358
dc.identifier.wos000620238600010
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherPergamon-Elsevier Science LTD
dc.relation.collaborationYurt dışı
dc.relation.journalJournal of the Franklin Institute
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subject4-Dimensional chaotic system
dc.subjectUnknown-parameters
dc.subjectAdaptive-control
dc.subjectDesign
dc.subjectFeedback
dc.subjectClosed loop systems
dc.subjectFuzzy inference
dc.subjectInteractive devices
dc.subjectSliding mode control
dc.subjectSynchronization
dc.subjectDynamic uncertainty
dc.subjectExternal disturbances
dc.subjectFuzzy disturbance observers
dc.subjectHyper-chaotic systems
dc.subjectLyapunov stability theory
dc.subjectStable equilibrium
dc.subjectTerminal sliding mode control
dc.subjectUnstable limit cycles
dc.subjectHopf bifurcation
dc.subject.scopusHyperchaotic System; Attractor; Phase Portrait
dc.subject.wosAutomation & Control Systems
dc.subject.wosEngineering, Multidisciplinary
dc.subject.wosEngineering, Electrical & Electronic
dc.subject.wosMathematics, Interdisciplinary Applications
dc.titleHopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control
dc.typeArticle
dc.wos.quartileQ2
dspace.entity.typePublication
local.contributor.departmentKaracabey Meslek Yüksekokulu/Bilgisayar Teknolojileri Bölümü
local.indexed.atScopus
local.indexed.atWOS

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