Modeling and Feedback Control of Flexible Plate With Focus on the Modes Highly Coupled to Radiation Field

A discretization method based on an inverse modal analysis process is presented for creating a lumped parameter model for actual structure. With the discrete system the standard optimal control law can be formulated in physical state space to design a controller. Furthermore, the method makes it easy to target the vibration modes with prominent sound radiation in control design, that is a simplified consideration of active structural acoustics control. The method is demonstrated and verified by vibration and noise control experiments of a clamped plate. Four highly radiating modes among the first twelve modes of the plate are well controlled by using three sensors and one actuator, based on a 9DOF lumped model of the plate.