Modeling and feedback structural acoustics control of a flexible plate

A lumping method via an inverse modal analysis approach is proposed in this paper for creating a lumped parameter model for a structure with distribut ed parameters. On the basis of the lumped parameter model, the formulation of an optimal controller in physical state space is presented and, furtherm ore, the design of a reduced-order controller is described. The method is d emonstrated and verified by the vibration and noise control experiments car ried out on a clamped plate. Several modes of the plate with high sound rad iating efficiencies are well controlled by using three sensors and one actu ator, based on a 9 degree-of-freedom (DOF) lumped parameter model of the pl ate.