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Control of a clamped-free beam by a piezoelectric actuator

Published online by Cambridge University Press:  20 June 2006

Emmanuelle Crépeau
Affiliation:
Bâtiment Fermat, Université de Versailles Saint-Quentin, 45 avenue des États-Unis, 78035 Versailles, France; crepeau@math.uvsq.fr
Christophe Prieur
Affiliation:
LAAS – CNRS, 7 avenue du Colonel Roche, 31077 Toulouse, France; Christophe.Prieur@laas.fr
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Abstract

We consider a controllability problem for a beam, clamped at one boundary and free at the other boundary, with an attached piezoelectric actuator. By Hilbert Uniqueness Method (HUM) and new results on diophantine approximations, we prove that the space of exactly initial controllable data depends on the location of the actuator. We also illustrate these results with numerical simulations.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2006

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