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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  and
Christophe Prieur
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.

Keywords

piezoelectric actuatormetallic beamexact controlability.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 12 , Issue 3 , July 2006 , pp. 545 - 563
Copyright
© EDP Sciences, SMAI, 2006

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