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

Brigitte d'Andréa-Novel 1, 2 Iván Moyano 3 Lionel Rosier 4, 1
2 S3AM - Sound Systems and Signals: Audio/Acoustics, InstruMents
STMS - Sciences et Technologies de la Musique et du Son, IRCAM - Institut de Recherche et Coordination Acoustique/Musique
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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Submitted on : Thursday, June 7, 2018 - 10:33:15 AM
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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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