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Some applications of fractional calculus in suppression of chaotic oscillations

Tavazoei, M. S ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1109/TIE.2008.925774
  3. Publisher: 2008
  4. Abstract:
  5. This paper presents two different stabilization methods based on the fractional-calculus theory. The first method is proposed via using the fractional differentiator, and the other is constructed based on using the fractional integrator. It has been shown that the proposed techniques can be used to suppress chaotic oscillations in 3-D chaotic systems. To show the practical capability of the methods, some experimental results on the control of chaos in chaotic circuits are presented. © 2008 IEEE
  6. Keywords:
  7. Calculations ; Chaos theory ; Differentiation (calculus) ; Mathematical techniques ; Motion estimation ; Networks (circuits) ; Stabilization ; Calculus theories ; Chaos ; Chaotic circuit ; Chaotic circuits ; Chaotic oscillations ; Control of chaos ; Fractional calculuses ; Fractional differentiator ; Fractional-order controller ; Some applications ; Stabilization methods ; Chaotic systems
  8. Source: IEEE Transactions on Industrial Electronics ; Volume 55, Issue 11 , 2008 , Pages 4094-4101 ; 02780046 (ISSN)
  9. URL: https://ieeexplore.ieee.org/abstract/document/4526222