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

Detalhes bibliográficos
Autor(a) principal: Dos Santos Rodrigues, Kleber [UNESP]
Data de Publicação: 2011
Outros Autores: Balthazar, José Manoel [UNESP], Tusset, Angelo Marcelo, Pontes Jr., Bento Rodrigues [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1115/DETC2011-47543
http://hdl.handle.net/11449/72869
Resumo: In 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.
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spelling On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behaviorAFMAtomic force microscope (AFM)Bifurcation diagramChanging parameterChaos controlChaotic behaviorsControl designControl techniquesLyapunov exponentMicro-cantileversMicrocantilever beamsPeriodic and chaotic motionsPhase portraitPoincare mapSample surfaceScientific literatureSDRE controlState-dependent Riccati equationTapping modesTime historyTime-delayed feedbackAtomic force microscopyChaotic systemsDesignLyapunov methodsMathematical modelsNanosystemsNonlinear dynamical systemsStress analysisBehavioral researchIn 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.UNESP: Univ Estadual Paulista Department of Mechanical Engineering FEB, Bauru, São PauloUNESP: Univ Estadual Paulista Department of Statistics, Applied Mathematics and Computation DEMAC Rio Claro, São PauloDepartment of Engineering Science UTFPR, Ponta Grossa, ParanaUNESP: Univ Estadual Paulista Department of Mechanical Engineering FEB, Bauru, São PauloUNESP: Univ Estadual Paulista Department of Statistics, Applied Mathematics and Computation DEMAC Rio Claro, São PauloUniversidade Estadual Paulista (Unesp)UTFPRDos Santos Rodrigues, Kleber [UNESP]Balthazar, José Manoel [UNESP]Tusset, Angelo MarceloPontes Jr., Bento Rodrigues [UNESP]2014-05-27T11:26:14Z2014-05-27T11:26:14Z2011-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject491-500http://dx.doi.org/10.1115/DETC2011-47543Proceedings of the ASME Design Engineering Technical Conference, v. 7, p. 491-500.http://hdl.handle.net/11449/7286910.1115/DETC2011-475432-s2.0-84863571165Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the ASME Design Engineering Technical Conferenceinfo:eu-repo/semantics/openAccess2024-06-28T13:55:18Zoai:repositorio.unesp.br:11449/72869Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:15:02.019357Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
title On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
spellingShingle On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
Dos Santos Rodrigues, Kleber [UNESP]
AFM
Atomic force microscope (AFM)
Bifurcation diagram
Changing parameter
Chaos control
Chaotic behaviors
Control design
Control techniques
Lyapunov exponent
Micro-cantilevers
Microcantilever beams
Periodic and chaotic motions
Phase portrait
Poincare map
Sample surface
Scientific literature
SDRE control
State-dependent Riccati equation
Tapping modes
Time history
Time-delayed feedback
Atomic force microscopy
Chaotic systems
Design
Lyapunov methods
Mathematical models
Nanosystems
Nonlinear dynamical systems
Stress analysis
Behavioral research
title_short On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
title_full On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
title_fullStr On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
title_full_unstemmed On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
title_sort On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
author Dos Santos Rodrigues, Kleber [UNESP]
author_facet Dos Santos Rodrigues, Kleber [UNESP]
Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
Pontes Jr., Bento Rodrigues [UNESP]
author_role author
author2 Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
Pontes Jr., Bento Rodrigues [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
UTFPR
dc.contributor.author.fl_str_mv Dos Santos Rodrigues, Kleber [UNESP]
Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
Pontes Jr., Bento Rodrigues [UNESP]
dc.subject.por.fl_str_mv AFM
Atomic force microscope (AFM)
Bifurcation diagram
Changing parameter
Chaos control
Chaotic behaviors
Control design
Control techniques
Lyapunov exponent
Micro-cantilevers
Microcantilever beams
Periodic and chaotic motions
Phase portrait
Poincare map
Sample surface
Scientific literature
SDRE control
State-dependent Riccati equation
Tapping modes
Time history
Time-delayed feedback
Atomic force microscopy
Chaotic systems
Design
Lyapunov methods
Mathematical models
Nanosystems
Nonlinear dynamical systems
Stress analysis
Behavioral research
topic AFM
Atomic force microscope (AFM)
Bifurcation diagram
Changing parameter
Chaos control
Chaotic behaviors
Control design
Control techniques
Lyapunov exponent
Micro-cantilevers
Microcantilever beams
Periodic and chaotic motions
Phase portrait
Poincare map
Sample surface
Scientific literature
SDRE control
State-dependent Riccati equation
Tapping modes
Time history
Time-delayed feedback
Atomic force microscopy
Chaotic systems
Design
Lyapunov methods
Mathematical models
Nanosystems
Nonlinear dynamical systems
Stress analysis
Behavioral research
description In 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.
publishDate 2011
dc.date.none.fl_str_mv 2011-12-01
2014-05-27T11:26:14Z
2014-05-27T11:26:14Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1115/DETC2011-47543
Proceedings of the ASME Design Engineering Technical Conference, v. 7, p. 491-500.
http://hdl.handle.net/11449/72869
10.1115/DETC2011-47543
2-s2.0-84863571165
url http://dx.doi.org/10.1115/DETC2011-47543
http://hdl.handle.net/11449/72869
identifier_str_mv Proceedings of the ASME Design Engineering Technical Conference, v. 7, p. 491-500.
10.1115/DETC2011-47543
2-s2.0-84863571165
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the ASME Design Engineering Technical Conference
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 491-500
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128486687113216

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