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Control of chaotic oscillators via a class of model free active controller: Suppresion and synchronization

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  • Aguilar-López, Ricardo
  • Martı´nez-Guerra, Rafael

Abstract

The goal of this work is related with the control of chaotic oscillators for chaos suppression and synchronization purposes. The proposed methodology is related with a class of robust active control (RAC) law, where the stabilizing part of the control structure is related with an integral high order sliding-mode and proportional form of the so-called control error. The proposed controller is applied to chaos suppression, synchronization and anti-synchronization tasks for nonlinear oscillators with different order and structure. Numerical experiments illustrate the satisfactory performance of the proposed methodology, when it is applied to Duffing and Chen oscillators.

Suggested Citation

  • Aguilar-López, Ricardo & Martı´nez-Guerra, Rafael, 2008. "Control of chaotic oscillators via a class of model free active controller: Suppresion and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 531-540.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:531-540
    DOI: 10.1016/j.chaos.2006.11.038
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