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Chaos control in continuous mode of T-AFM systems using nonlinear delayed feedback via sliding mode control

Sadeghian, H ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE200742794
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2007
  4. Abstract:
  5. The taping mode Atomic Force Microscopic (T-AFM) can be assumed as a cantilever beam which its base is excited by a sinusoidal force and nonlinear potential interaction with sample. Thus the cantilever may cause chaotic behavior which decreases the performance of the sample topography. In order to modeling, using the galerkin method, the PDE equation is reduced to a single ODE equation which properly describing the continuous beam. In this paper a nonlinear delayed feedback control is proposed to control chaos in 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 numerical results show the high quality and good performance of the proposed method. Copyright © 2007 by ASME
  6. Keywords:
  7. Atomic force microscopy ; Chaos theory ; Chaotic systems ; Feedback control ; Galerkin methods ; Nanocantilevers ; Nanosystems ; Numerical methods ; Sliding mode control ; Chaotic behaviors ; Continuous beams ; Delayed feedback ; Delayed feedback control ; Model parameters ; Nonlinear potential ; Numerical results ; Unstable periodic orbits ; Nonlinear feedback
  8. Source: ASME 2007 International Mechanical Engineering Congress and Exposition, IMECE 2007, 11 November 2007 through 15 November 2007 ; Volume 11 , 2007 , Pages 201-208 ; 079184305X (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2007/4305X/201/327935