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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Rodrigues, Kleber Dos Santos Balthazar, Jose´ Manoel Tusset, Angelo Marcelo Ju´nior, Bento Rodrigues Pontes |
| Copyright Year | 2011 |
| Abstract | 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 both methods, for chaos control of an AFM system. |
| Sponsorship | Design Engineering Division and Computers and Information in Engineering Division |
| Starting Page | 491 |
| Ending Page | 500 |
| Page Count | 10 |
| File Format | |
| ISBN | 9780791854846 |
| DOI | 10.1115/DETC2011-47543 |
| Volume Number | Volume 7: 5th International Conference on Micro- and Nanosystems; 8th International Conference on Design and Design Education; 21st Reliability, Stress Analysis, and Failure Prevention Conference |
| Conference Proceedings | ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2011-08-28 |
| Publisher Place | Washington, DC, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Design Chaos Atomic force microscopy Microcantilevers Simulation results Feedback Bifurcation Nonlinear dynamical systems Poincaré maps |
| Content Type | Text |
| Resource Type | Article |
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