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Using fractional-order integrator to control chaos in single-input chaotic systems

Tavazoei, M. S ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s11071-008-9353-3
  3. Publisher: 2009
  4. Abstract:
  5. This paper deals with a fractional calculus based control strategy for chaos suppression in the 3D chaotic systems. It is assumed that the structure of the controlled chaotic system has only one control input. In the proposed strategy, the controller has three tuneable parameters and the control input is constructed as fractional-order integration of a linear combination of linearized model states. The tuning procedure is based on the stability theorems in the incommensurate fractional-order systems. To evaluate the performance of the proposed controller, the design method is applied to suppress chaotic oscillations in a 3D chaotic oscillator and in the Chen chaotic system. © 2008 Springer Science+Business Media B.V
  6. Keywords:
  7. Chaos ; Control ; Fractional-order integrator ; Stabilization ; Chaos theory ; Circuit oscillations ; Differentiation (calculus) ; Integration ; System stability ; Three dimensional ; Chaos suppressions ; Chaotic oscillations ; Chaotic oscillators ; Chen chaotic systems ; Control inputs ; Control strategies ; Design methods ; Fractional calculuses ; Linear combinations ; Linearized models ; Order systems ; Stability theorems ; Tuneable parameters ; Chaotic systems
  8. Source: Nonlinear Dynamics ; Volume 55, Issue 1-2 , 2009 , Pages 179-190 ; 0924090X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s11071-008-9353-3