Control of an overhead crane : stabilization of flexibilities
Résumé
This paper deals with the feedback stabilization of the cable of an over-head crane, by the means of the position of the platform. The wellposedness of the closed-loop PDE system with boundary control and homogeneous Neumann condition on part of the boundary is established, the asymptotic stabilization is proved by Lasalle's invariance Principle for a class of simple feedbacks and decay estimates are given. Illustrative simulations are displayed.