H∞ control of structure-borne noise of a plate featuring piezoceramic actuators

This paper addresses active structural acoustic control of a flexible plate using piezoelectric actuators. The analytical model of a thin plate with simply supported boundary conditions is derived from Hamilton's principle and a control model represented by the transfer function is obtained. Optimal locations of the piezoelectric actuators are found such that it minimizes the radiated sound power at the farfield. With optimally designed actuators, an H-proportional to controller is designed by using the loop shaping design procedure to achieve robust acoustic control of the proposed system subjected to parameter variations and external disturbances. Control performance and robustness are presented in both frequency and time domains in order to demonstrate the effectiveness of the proposed approach. In addition, the comparison between the proposed H-infinity robust controller and the conventional adaptive Filtered-x LMS algorithm Is undertaken.