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Chaos control in single mode approximation of T-AFM systems using nonlinear delayed feedback based on sliding mode control

Sadeghian, H ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/DETC2007-35018
  3. Abstract:
  4. The taping mode Atomic Force Microscopic (T-AFM) can be properly described by a sinusoidal excitation of its base and nonlinear potential interaction with sample. Thus the cantilever may cause chaotic behavior which decreases the performance of the sample topography. In this paper a nonlinear delayed feedback control.is proposed to control.chaos in a single mode approximation of a T-AFM system. Assuming model parameters uncertainties, the first order Unstable Periodic Orbits (UPOs) of the system is stabilized using the sliding nonlinear delayed feedback control. The effectiveness of the presented methods is numerically verified and the results show the high performance of the control.er
  5. Keywords:
  6. Architectural design ; Technology ; Atomic force microscopy ; Chaos theory ; Chaotic systems ; Computer networks ; Computer control systems ; Computers ; Feedback control ; Imaging techniques ; Approximation theory ; Scanning probe microscopy ; Polynomial approximation ; Nonlinear programming ; Nanosystems ; Information systems ; Microfluidics ; Microscopic examination ; Microsensors ; Multitasking
  7. Source: 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference ; Volume 3 PART B , 2008 , Pages 725-730 ; ISBN: 9780791848043
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1604272