Loading...

Chaos control in lateral oscillations of spinning disks via nonlinear feedback

Salarieh, H ; Sharif University of Technology | 2009

736 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.nonrwa.2008.09.006
  3. Publisher: 2009
  4. Abstract:
  5. In this paper the problem of chaos control in single mode lateral oscillations of spinning disks is studied. At first, using the harmonic balance method, one of the periodic orbits of system is evaluated. Then proposing a nonlinear feedback strategy a control law is presented for chaos elimination by tracking the mentioned periodic solution. It is shown that although the system is not input-state feedback linearizable, by defining an output signal and using the input-output linearization method, the objective of complete periodic orbit tracking is achieved. The sufficient condition for this purpose is presented, and the performance of proposed method is examined by numerical simulation. © 2008 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Chaos control ; Control laws ; Harmonic balance methods ; Input-output linearizations ; Lateral oscillations ; Nonlinear feedbacks ; Numerical simulations ; Output signals ; Periodic orbit ; Periodic solutions ; Single modes ; Sufficient conditions ; Chaos theory ; Disks (machine components) ; Disks (structural components) ; Feedback ; Motion estimation ; Orbits ; State feedback ; Time varying systems ; Feedback linearization
  8. Source: Nonlinear Analysis: Real World Applications ; Volume 10, Issue 5 , 2009 , Pages 2864-2872 ; 14681218 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S1468121808001971