On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior

dc.contributor.authorDos Santos Rodrigues, Kleber [UNESP]
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorTusset, Angelo Marcelo
dc.contributor.authorPontes Jr., Bento Rodrigues [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUTFPR
dc.date.accessioned2014-05-27T11:26:14Z
dc.date.available2014-05-27T11:26:14Z
dc.date.issued2011-12-01
dc.description.abstractIn last decades, control of nonlinear dynamic systems became an important and interesting problem studied by many authors, what results the appearance of lots of works about this subject in the scientific literature. In this paper, an Atomic Force Microscope micro cantilever operating in tapping mode was modeled, and its behavior was studied using bifurcation diagrams, phase portraits, time history, Poincare maps and Lyapunov exponents. Chaos was detected in an interval of time; those phenomena undermine the achievement of accurate images by the sample surface. In the mathematical model, periodic and chaotic motion was obtained by changing parameters. To control the chaotic behavior of the system were implemented two control techniques. The SDRE control (State Dependent Riccati Equation) and Time-delayed feedback control. Simulation results show the feasibility of the bothmethods, for chaos control of an AFM system. Copyright © 2011 by ASME.en
dc.description.affiliationUNESP: Univ Estadual Paulista Department of Mechanical Engineering FEB, Bauru, São Paulo
dc.description.affiliationUNESP: Univ Estadual Paulista Department of Statistics, Applied Mathematics and Computation DEMAC Rio Claro, São Paulo
dc.description.affiliationDepartment of Engineering Science UTFPR, Ponta Grossa, Parana
dc.description.affiliationUnespUNESP: Univ Estadual Paulista Department of Mechanical Engineering FEB, Bauru, São Paulo
dc.description.affiliationUnespUNESP: Univ Estadual Paulista Department of Statistics, Applied Mathematics and Computation DEMAC Rio Claro, São Paulo
dc.format.extent491-500
dc.identifierhttp://dx.doi.org/10.1115/DETC2011-47543
dc.identifier.citationProceedings of the ASME Design Engineering Technical Conference, v. 7, p. 491-500.
dc.identifier.doi10.1115/DETC2011-47543
dc.identifier.scopus2-s2.0-84863571165
dc.identifier.urihttp://hdl.handle.net/11449/72869
dc.language.isoeng
dc.relation.ispartofProceedings of the ASME Design Engineering Technical Conference
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAFM
dc.subjectAtomic force microscope (AFM)
dc.subjectBifurcation diagram
dc.subjectChanging parameter
dc.subjectChaos control
dc.subjectChaotic behaviors
dc.subjectControl design
dc.subjectControl techniques
dc.subjectLyapunov exponent
dc.subjectMicro-cantilevers
dc.subjectMicrocantilever beams
dc.subjectPeriodic and chaotic motions
dc.subjectPhase portrait
dc.subjectPoincare map
dc.subjectSample surface
dc.subjectScientific literature
dc.subjectSDRE control
dc.subjectState-dependent Riccati equation
dc.subjectTapping modes
dc.subjectTime history
dc.subjectTime-delayed feedback
dc.subjectAtomic force microscopy
dc.subjectChaotic systems
dc.subjectDesign
dc.subjectLyapunov methods
dc.subjectMathematical models
dc.subjectNanosystems
dc.subjectNonlinear dynamical systems
dc.subjectStress analysis
dc.subjectBehavioral research
dc.titleOn a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavioren
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://journaltool.asme.org/Help/AuthorHelp/WebHelp/1903.pdf
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Baurupt
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEngenharia Mecânica - FEBEstatística, Matemática Aplicada e Computação - IGCEpt

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