Energy decay estimates for a beam with nonlinear boundary feedback

Francis Conrad (1) , Juliette Leblond (2, 3) , Jean-Paul Marmorat (2)

1 IECN - Institut Élie Cartan de Nancy
2 CMA - Centre de Mathématiques Appliquées
3 MIAOU - Mathematics and Computing in Automatic Control and Optimization for the User

We obtain decay estimates for an Euler-Bernoulli beam which is clamped at one end and controlled at the other end by a point force that is a nonlinear function of the observed transversal velocity. Numerical simulations show that the estimates are fairly accurate.

Mots clés: Euler Bernoulli Beam; Nonlinear Function; Nonlinear Simulation Control Systems; Mechanical Variables Control

Domaines: Automatique

Francis Conrad, Juliette Leblond, Jean-Paul Marmorat. Energy decay estimates for a beam with nonlinear boundary feedback. J. P. Zolésio. Stabilization of Flexible Structures: Third working conference, Montpellier, France, January 1989, Springer Verlag, pp.46-61, ISBN 978-3-540-53161-6, 1990, Lecture Notes in Control and Information Sciences : volume 147, ⟨10.1007/BFb0005148⟩. ⟨hal-00504856⟩