Analysis and chaos control of a four-dimensional magnetohydrodynamic model with hyperchaotic solutions

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dc.contributor.authorDaum, Hilson H. [UNESP]
dc.contributor.authorTusset, Angelo M.
dc.contributor.authorRibeiro, Mauricio A.
dc.contributor.authorLitak, Grzegorz
dc.contributor.authorBueno, Atila M. [UNESP]
dc.contributor.authorBalthazar, Jose M. [UNESP]
dc.contributor.institutionFederal Technological University of Paraná
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionLublin University of Technology
dc.date.accessioned2022-05-01T07:58:44Z
dc.date.available2022-05-01T07:58:44Z
dc.date.issued2021-01-01
dc.description.abstractIn this paper, the dynamical behavior of a four-dimensional magnetohydrodynamic model, consisting of a generalized Lorenz model, is investigated. A nonlinear dynamical analysis is performed using Lyapunov exponents and bifurcation diagrams, focusing on the chaotic and hyperchaotic behaviors associated with the bifurcation parameter (k1) that couples the equations of fluid displacement to the induced magnetic field. The State-dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) techniques are considered to design the state feedback control system that stabilizes the system to a previously defined orbit. The performance of the control systems are compared showing that the OLFC presents better results.en
dc.description.affiliationFederal Technological University of Paraná
dc.description.affiliationSchool of Engineering São Paulo State University
dc.description.affiliationFaculty of Mechanical Engineering Lublin University of Technology
dc.description.affiliationInstitute of Science and Technology São Paulo State University
dc.description.affiliationUnespSchool of Engineering São Paulo State University
dc.description.affiliationUnespInstitute of Science and Technology São Paulo State University
dc.identifierhttp://dx.doi.org/10.1140/epjs/s11734-021-00236-4
dc.identifier.citationEuropean Physical Journal: Special Topics.
dc.identifier.doi10.1140/epjs/s11734-021-00236-4
dc.identifier.issn1951-6401
dc.identifier.issn1951-6355
dc.identifier.scopus2-s2.0-85111400505
dc.identifier.urihttp://hdl.handle.net/11449/233324
dc.language.isoeng
dc.relation.ispartofEuropean Physical Journal: Special Topics
dc.sourceScopus
dc.subjectNonlinear dynamics
dc.subjectOLFC control
dc.subjectSDRE control
dc.titleAnalysis and chaos control of a four-dimensional magnetohydrodynamic model with hyperchaotic solutionsen
dc.typeArtigo
unesp.author.orcid0000-0003-3144-0407[2]

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