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Maximal bound for output feedback gain in stabilization of fixed points of fractional-order chaotic systems

Tavazoei, M. S ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1115/1.4003137
  3. Publisher: 2011
  4. Abstract:
  5. This paper deals with the problem of stabilizing the unstable fixed points of a class of fractional-order chaotic systems via using static output feedback. At first, a static output feedback controller designed to stabilize a fixed point of a fractional-order chaotic system is considered. Then, the maximal allowable perturbation bound around the nominal value of the output feedback gain of the designed controller, such that the stability of the intended fixed point in the closed-loop system is guaranteed, is analytically determined. Also, some numerical examples are presented to confirm the validity of the analytical results of the paper
  6. Keywords:
  7. Stabilization ; Static output feedback control ; Analytical results ; Fixed points ; Fractional-order chaotic systems ; Fractional-order system ; Numerical example ; Output feedback ; Perturbation bounds ; Static output feedback ; Unstable fixed point ; Controllers ; Feedback control ; Chaotic systems
  8. Source: Journal of Computational and Nonlinear Dynamics ; Volume 6, Issue 3 , February , 2011 ; 15551415 (ISSN)
  9. URL: http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=1396590