Modeling and Feedback Structural Acoustics Control of a Flexible Plate

Abstract

A lumping method via an inverse modal analysis approach is proposed in this paper for creating a lumped parameter model for a structure with distributed parameters. On the basis of the lumped parameter model, the formulation of an optimal controller in physical state space is presented and, furthermore, the design of a reduced-order controller is described. The method is demonstrated and verified by the vibration and noise control experiments carried out on a clamped plate. Several modes of the plate with high sound radiating efficiencies are well controlled by using three sensors and one actuator, based on a 9 degree-of-freedom (DOF) lumped parameter model of the plate.