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Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller

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  • Laoye, J.A.
  • Vincent, U.E.
  • Kareem, S.O.

Abstract

This paper examines chaos control of two four-dimensional chaotic systems, namely: the Lorenz–Stenflo (LS) system that models low-frequency short-wavelength gravity waves and a new four-dimensional chaotic system (Qi systems), containing three cross products. The control analysis is based on recursive backstepping design technique and it is shown to be effective for the 4D systems considered. Numerical simulations are also presented.

Suggested Citation

  • Laoye, J.A. & Vincent, U.E. & Kareem, S.O., 2009. "Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 356-362.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:356-362
    DOI: 10.1016/j.chaos.2007.04.020
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    References listed on IDEAS

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    1. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
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    Cited by:

    1. Kaur, Rajinder Pal & Sharma, Amit & Sharma, Anuj Kumar & Sahu, Govind Prasad, 2021. "Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Wang, Chunni & Liu, Zhilong & Hobiny, Aatef & Xu, Wenkang & Ma, Jun, 2020. "Capturing and shunting energy in chaotic Chua circuit," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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