Chaos control in Duffing system using impulsive parametric perturbations

  • Authors:

  • Alexander Jimenez-Triana;Wallace Kit-Sang Tang;Guanrong Chen;Alain Gauthier

  • Affiliations:

  • Department of Control Engineering, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia and Department of Electrical and Electronic Engineering, Universidad de los Andes, Bog ...;Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong;Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong;Department of Electrical and Electronic Engineering, Universidad de los Andes, Bogotá, Colombia

  • Venue:
  • IEEE Transactions on Circuits and Systems II: Express Briefs
  • Year:
  • 2010

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Abstract

In this brief, a new scheme is developed for chaos control by applying periodic impulsive parametric perturbations. Based on Melnikov's condition for the existence of chaos, it is mathematically proven that, in a neighborhood of a homoclinic orbit of the Duffing system, chaos can be suppressed. A sufficient condition is also established, serving as the design criterion for the amplitude and the width of the impulsive control signal. Finally, the control effect will clearly be demonstrated with simulation results.