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; firstname.lastname@example.org email@example.com
Revised: 29 March 2004
Revised: 25 December 2004
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.
Mathematics Subject Classification: 49N35 / 49Q10 / 74P15 / 90C47 / 93B40 / 93C20
Key words: Collocation / piezoelectric sensors/actuators / positive-real systems / topology optimization.
© EDP Sciences, SMAI, 2005