Control of a clamped-free beam by a piezoelectric actuator
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2 LAAS – CNRS, 7 avenue du Colonel Roche, 31077 Toulouse, France; Christophe.Prieur@laas.fr
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