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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00934086
Contributor : Carlos Canudas de Wit <>
Submitted on : Tuesday, January 21, 2014 - 3:23:39 PM
Last modification on : Wednesday, April 11, 2018 - 1:59:00 AM

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Carlos Canudas de Wit, Javier Aracil, Francisco Gordillo Álvarez, Francisco Salas. The oscillations killer: a mechanism to eliminate undesired limit cycles in a class of nonlinear systems. International Journal of Robust and Nonlinear Control, Wiley, 2014, 24 (1), pp.39-53. ⟨10.1002/rnc.2873⟩. ⟨hal-00934086⟩

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