FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE

Abstract : The paper is concerned with the finite-time stabilization of a hybrid PDE-ODE system which may serve as a model for the motion of an overhead crane with a flexible cable. The dynamics of the flexible cable is assumed to be described by the wave equation with constant coefficients. Using a nonlinear feedback law inspired by those given by Haimo in [12] for a second-order ODE, we prove that a finite-time stabilization occurs for the full system platform + cable. The global well-posedness of the system is also established by using the theory of nonlinear semigroups.
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Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01809806
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Dernière modification le : vendredi 16 novembre 2018 - 02:20:37
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  • HAL Id : hal-01809806, version 1

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Brigitte D'Andréa-Novel, Iván Moyano, Lionel Rosier. FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE. 2018. 〈hal-01809806〉

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