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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

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2007-42794
  3. Abstract:
  4. 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
  5. Keywords:
  6. Chaos theory ; Chaotic behavior ; Sinusoidal forces ; Sliding mode control ; Nonlinear control systems ; Feedback control
  7. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings ; Volume 11 PART A , 2008 , Pages 201-208 ; ISBN: 079184305X
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1590594