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Damping control law for a chaotic impact oscillator

Author

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  • de Souza, Silvio L.T.
  • Caldas, Iberê L.
  • Viana, Ricardo L.

Abstract

We apply a feedback control technique to suppress chaotic behavior in dissipative mechanical systems by using a small-amplitude damping signal. The control signal is obtained by varying the damping coefficient according to the velocity direction. As an application of this method, we present numerical simulations of an impact oscillator and the required damping law used to achieve the control. Our numerical results show the method effectiveness even for high levels of noisy perturbation.

Suggested Citation

  • de Souza, Silvio L.T. & Caldas, Iberê L. & Viana, Ricardo L., 2007. "Damping control law for a chaotic impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 745-750.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:745-750
    DOI: 10.1016/j.chaos.2005.11.046
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    Cited by:

    1. Wang, Liang & Xu, Wei & Li, Gaojie & Li, Dongxi, 2009. "Response of a stochastic Duffing–Van der Pol elastic impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2075-2080.
    2. Guasch, Oriol & Van Hirtum, Annemie & Fernández, A. Inés & Arnela, Marc, 2022. "Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Firas Turki & Hassène Gritli & Safya Belghith, 2019. "Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller," Complexity, Hindawi, vol. 2019, pages 1-14, December.
    4. Guasch, Oriol & Freixes, Marc & Arnela, Marc & Van Hirtum, Annemie, 2024. "Controlling chaotic vocal fold oscillations in the numerical production of vowel sounds," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    5. Li, Chao, 2019. "Stochastic response of a vibro-impact system with variable mass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 151-160.

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