HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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
3 Statistical Laboratory [Cambridge]
DPMMS - Department of Pure Mathematics and Mathematical Statistics
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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01809806
Contributor : Lionel Rosier Connect in order to contact the contributor
Submitted on : Thursday, June 7, 2018 - 10:33:15 AM
Last modification on : Tuesday, March 15, 2022 - 3:22:35 AM
Long-term archiving on: : Saturday, September 8, 2018 - 1:01:10 PM

File

DMR-subm.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01809806, version 1

Citation

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

Share

Metrics

Record views

271

Files downloads

286