ASYMPTOTIC STABILIZATION OF COMPOSITE PLATES UNDER FLUID LOADING

This paper presents a solution to the boundary stabilization of a vibrating composite plate under fluid loading. The fluid is considered to be compressible, barotropic and inviscid. A linear control law is constructed to suppress the composite plate vibration. The control forces and moments consist of feedbacks of the velocity and normal derivative of the velocity at the boundaries of the composite plate. The novel features of the proposed method are that (1) it asymptotically stabilizes vibrations of a composite plate in contact with fluid (the fluid has a free surface) via boundary control and without truncation of the model; and (2) the stabilization of both the composite plate vibrations and fluid motion are simultaneously achieved by using only a linear feedback from the composite plate boundaries.