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Fractional calculus based stabilization technique applied to suppress chaos in chaotic circuits

Tavazoei, M. S ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1142/S021797921005675X
  3. Publisher: 2010
  4. Abstract:
  5. This paper deals with a new fractional calculus based method to stabilize fixed points of single-input 3D systems. In the proposed method, the control signal is determined by fractional order integration of a linear combination of the system linearized model states. The tuning rule for this method is based on the stability theorems in the incommensurate fractional order systems. The introduced technique can be used in suppression of chaotic oscillations. To evaluate the performance of the proposed technique in practical applications, it has been experimentally applied to control chaos in two chaotic circuits
  6. Keywords:
  7. Chaos ; Chaotic circuit ; Fractional order controller ; Stabilization
  8. Source: International Journal of Modern Physics B ; Volume 24, Issue 24 , September , 2010 , Pages 4861-4879 ; 02179792 (ISSN)
  9. URL: http://www.worldscientific.com/doi/abs/10.1142/S021797921005675X