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dc.contributor.authorSerrano, Fernando E.
dc.contributor.authorRossell Garriga, Josep Maria
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-09-14T16:35:22Z
dc.date.available2017-09-14T16:35:22Z
dc.date.issued2017-06-15
dc.identifier.citationSerrano, F., Rossell, J. M. Hybrid passivity based and fuzzy type-2 controller for chaotic and hyper-chaotic systems. "Acta Mechanica et Automatica", 15 Juny 2017, vol. 11, núm. 2, p. 96-103.
dc.identifier.issn2300-5319
dc.identifier.urihttp://hdl.handle.net/2117/107640
dc.description.abstractIn this paper a hybrid passivity based and fuzzy type-2 controller for chaotic and hyper-chaotic systems is presented. The proposed control strategy is an appropriate choice to be implemented for the stabilization of chaotic and hyper-chaotic systems due to the energy considerations of the passivity based controller and the flexibility and capability of the fuzzy type-2 controller to deal with uncertainties. As it is known, chaotic systems are those kinds of systems in which one of their Lyapunov exponents is real positive, and hyper-chaotic systems are those kinds of systems in which more than one Lyapunov exponents are real positive. In this article one chaotic Lorentz attractor and one four dimensions hyper-chaotic system are considered to be stabilized with the proposed control strategy. It is proved that both systems are stabilized by the passivity based and fuzzy type-2 controller, in which a control law is designed according to the energy considerations selecting an appropriate storage function to meet the passivity conditions. The fuzzy type-2 controller part is designed in order to behave as a state feedback controller, exploiting the flexibility and the capability to deal with uncertainties. This work begins with the stability analysis of the chaotic Lorentz attractor and a four dimensions hyper-chaotic system. The rest of the paper deals with the design of the proposed control strategy for both systems in order to design an appropriate controller that meets the design requirements. Finally, numerical simulations are done to corroborate the obtained theoretical results.
dc.format.extent8 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Informàtica::Automàtica i control
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshAutomatic control
dc.subject.lcshSynchronization
dc.subject.lcshChaotic behavior in system
dc.subject.otherChaos synchronization
dc.subject.otherPassive-control
dc.subject.otherFuzzy control
dc.subject.otherChaotic system
dc.titleHybrid passivity based and fuzzy type-2 controller for chaotic and hyper-chaotic systems
dc.typeArticle
dc.subject.lemacControl automàtic
dc.subject.lemacSincronització
dc.subject.lemacCaos (Teoria de sistemes)
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.identifier.doi10.1515/ama-2017-0015
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.identifier.drac21227644
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//DPI2015-64170-R/ES/DISEÑO DE ESTRATEGIAS AVANZADAS DE CONTROL Y DETECCION DE FALLOS PARA SISTEMAS MECATRONICOS COMPLEJOS/
local.citation.authorSerrano, F.; Rossell, Josep M.
local.citation.publicationNameActa Mechanica et Automatica
local.citation.volume11
local.citation.number2
local.citation.startingPage96
local.citation.endingPage103


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