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Shape optimization of piezoelectric sensors or actuatorsfor the controlof plates

Published online by Cambridge University Press:  15 September 2005

Emmanuel Degryse  and
Stéphane Mottelet
Emmanuel Degryse
Affiliation:
Laboratoire de Mathématiques Appliquées de Compiègne, Département de Génie Informatique, Université de Technologie de Compiègne, BP 20529, 60205 Compiegne Cedex, France; [email protected] [email protected]
Stéphane Mottelet
Affiliation:
Laboratoire de Mathématiques Appliquées de Compiègne, Département de Génie Informatique, Université de Technologie de Compiègne, BP 20529, 60205 Compiegne Cedex, France; [email protected] [email protected]
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Abstract

This paper deals with a new method to controlflexible structures by designing non-collocated sensors and actuators satisfying a pseudo-collocation criterion in the low-frequency domain. Thistechnique is applied to a simply supported plate with a point forceactuator and a piezoelectric sensor, for which we give some theoretical andnumerical results. We also compute low-order controllers which stabilizepseudo-collocated systems and the closed-loop behavior show that this approachis very promising.

Keywords

Collocationpiezoelectric sensors/actuatorspositive-real systemstopology optimization.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 11 , Issue 4 , October 2005 , pp. 673 - 690
Copyright
© EDP Sciences, SMAI, 2005

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