ASYMPTOTIC STABILIZATION OF COMPOSITE PLATES UNDER FLUID LOADING

Abstract

This paper presents a solution to the boundary stabilization of a vibrating compositeplate under fluid loading. The fluid is considered to be compressible, barotropic and inviscid. Alinear control law is constructed to suppress the composite plate vibration. The control forces andmoments consist of feedbacks of the velocity and normal derivative of the velocity at theboundaries of the composite plate. The novel features of the proposed method are that (1) itasymptotically stabilizes vibrations of a composite plate in contact with fluid (the fluid has a freesurface) via boundary control and without truncation of the model; and (2) the stabilization of boththe composite plate vibrations and fluid motion are simultaneously achieved by using only a linearfeedback from the composite plate boundaries.