The influence of frequency-shaped cost functionals on the structural acoustic control performance of static, output feedback controllers

Abstract

This paper investigates the level of modeling necessary to design static, output feedback controllers for structural acoustic control. The acoustic performance of three active control techniques is compared: active structural acoustic control (ASAC); active vibration control (AVC); and discrete active vibration control. The ASAC cost functional is created by the use of frequency-dependent models, which relate the structural response to radiated acoustic energy. A broadband measure of control signal power is developed and compensators are designed such that their power requirements are equal. These investigations are conducted on three different transducer arrangements. Results demonstrate that frequency-shaped cost functionals influence the design of frequency-independent controllers when the order of the control system is greater than one. With more than one sensor-actuator pair, the control energy bandwidth is shifted by the ASAC cost functional to provide increased low-frequency performance.