| Issue |
ESAIM: COCV
Volume 12, Number 3, July 2006
|
|
|---|---|---|
| Page(s) | 545 - 563 | |
| DOI | https://doi.org/10.1051/cocv:2006008 | |
| Published online | 20 June 2006 | |
Control of a clamped-free beam by a piezoelectric actuator
1
Bâtiment Fermat, Université de Versailles Saint-Quentin, 45 avenue des États-Unis, 78035 Versailles, France; crepeau@math.uvsq.fr
2
LAAS – CNRS, 7 avenue du Colonel Roche, 31077 Toulouse,
France; Christophe.Prieur@laas.fr
Received:
27
September
2004
Revised:
23
May
2005
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.
Mathematics Subject Classification: 93C20 / 35B75 / 35B60
Key words: piezoelectric actuator / metallic beam / exact controlability.
© EDP Sciences, SMAI, 2006
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