Shape optimization of piezoelectric sensors or actuators for the control of plates

Laboratoire de Mathématiques Appliquées de Compiègne, Département de Génie Informatique, Université de Technologie de Compiègne, BP 20529, 60205 Compiegne Cedex, France; degryse@iutc3.unicaen.fr stephane.mottelet@utc.fr

Received: 26 August 2002
Revised: 29 March 2004
Revised: 25 December 2004

Abstract

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