Output Annihilation and Optimal H2-Control of Plate Vibrations by Piezoelectric Actuation

This paper is concerned with the piezoelectrically induced actuation and control of plates. Flexural vibrations of linear elastic laminated plates with layers made of ceramic or polymeric piezoelectric materials are considered. In the present formulation, the mechanical modelling of such a type of smart or intelligent plates is related to the fundamental duality between load-stresses, induced by imposed forces, and self-stresses due to eigenstrains. The distributed actuating effect of piezoelectric layers is considered as a distribution of eigenstrains counteracting the load-stresses. Assuming perfect bond between the piezoelectric layers and their substrate, this eigenstrain problem is formulated within the context of the classical lamination theory of thin plates. To be continued.