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Global linear feedback control for the generalized Lorenz system

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  • Gambino, Gaetana
  • Lombardo, Maria Carmela
  • Sammartino, Marco

Abstract

In this paper we show how the chaotic behavior of the Chen system can be controlled via feedback technique. We design both a nonlinear feedback controller and a linear one which globally regulate the closed-loop system states to a given point. We finally show that our approach works also for the whole family of the generalized Lorenz system.

Suggested Citation

  • Gambino, Gaetana & Lombardo, Maria Carmela & Sammartino, Marco, 2006. "Global linear feedback control for the generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 829-837.
  • Handle: RePEc:eee:chsofr:v:29:y:2006:i:4:p:829-837
    DOI: 10.1016/j.chaos.2005.08.072
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    Cited by:

    1. Belokolos, E.D. & Kharchenko, V.O. & Kharchenko, D.O., 2009. "Chaos in a generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2595-2605.
    2. Haghighatdar, F. & Ataei, M., 2009. "Adaptive set-point tracking of the Lorenz chaotic system using non-linear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1938-1945.
    3. Qi, Guoyuan & Chen, Zengqiang & Yuan, Zhuzhi, 2008. "Adaptive high order differential feedback control for affine nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 308-315.

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