The oscillations killer: a mechanism to eliminate undesired limit cycles in a class of nonlinear systems

Authors

  • C. Canudas-de-Wit,

    1. Laboratoire d'Automatique de Grenoble, UMR CNRS 5528, ENSIEG-INPG, St. Martin d′Hères, France
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  • J. Aracil,

    1. Departamento de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Spain
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  • F. Gordillo,

    1. Departamento de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Spain
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  • F. Salas

    Corresponding author
    1. Departamento de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Spain
    • Correspondence to: F. Salas, Departamento de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain.

      E-mail: salas@us.es

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SUMMARY

In this paper, we present a mechanism, called oscillation killer, intended to eliminate limit cycles that may occur as a consequence of unexpected external disturbances, interactions with the environment, changes in systems set-points, physical parameters, and so on. Examples range from controlled systems with friction to electrical networks with varying loads and impedances. The proposed mechanisms is shown to be particulary appropriate for nonlinear systems displaying a locally asymptotically equilibrium point surrounded by a locally asymptotically stable limit set outside this local domain. Copyright © 2012 John Wiley & Sons, Ltd.

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