FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2018

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.
Fichier principal
Vignette du fichier
DMR-subm.pdf (257.12 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01809806 , version 1 (07-06-2018)

Identifiers

  • HAL Id : hal-01809806 , version 1

Cite

Brigitte d'Andréa-Novel, Iván Moyano, Lionel Rosier. FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE. 2018. ⟨hal-01809806⟩
308 View
363 Download

Share

Gmail Facebook X LinkedIn More