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Feedback control of chaotic systems

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Dynamics and Control

Abstract

A suboptimal feedback controller implemented by a multilayer feed-forward neural network is presented to control the unpredictable behavior of chaotic systems. The controller has been tested on the Lorenz and the Rössler systems using numerical simulation. Results show that chaotic systems, subject to feedback control, can be tamed to behave like a system having point attractors with associated basins of attraction.

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References

  1. T. Shinbrot, E. Ott, C. Grebogi, and J.A. Yorke, “Using chaos to direct trajectories to targets,”Phys. Rev. Lett., vol. 65, pp. 3215–3218, 1990.

    Google Scholar 

  2. T.L. Vincent and J. Yu, “Control of a chaotic system,”Dynamics and Control, vol. 1, pp. 35–52, 1991.

    Google Scholar 

  3. N.U. Ahmed,Elements of Finite-Dimensional Systems and Control Theory, Longman Scientific and Technical, 1988.

  4. E.N. Lorenz, “Deterministic non-periodic flow,”J. Atmos. Sci., vol. 20, pp. 130–141, 1963.

    Google Scholar 

  5. C. Sparrow, “The Lorenz equations: bifurcations, chaos, and strange attractor,”Appl. Math. Sci., vol. 41, 1982.

  6. O.E. Rössler, “An equation for continuous chaos,”Phys. Lett., vol. 57A, pp. 397–402, 1976.

    Google Scholar 

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Yeap, T.H., Ahmed, N.U. Feedback control of chaotic systems. Dynamics and Control 4, 97–114 (1994). https://doi.org/10.1007/BF02115741

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  • DOI: https://doi.org/10.1007/BF02115741

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