On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior
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Data
2011-12-01
Autores
Dos Santos Rodrigues, Kleber [UNESP]
Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
Pontes Jr., Bento Rodrigues [UNESP]
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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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Palavras-chave
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
Como citar
Proceedings of the ASME Design Engineering Technical Conference, v. 7, p. 491-500.