Cluster control of acoustic potential energy in a structural/acoustic cavity

Abstract

This paper is concerned with cluster control of acoustic potential energy in a cluster coupled structural/acoustic cavity using both active noise control (ANC) and active vibration control (AVC). First, fundamental characteristics of a cluster coupled cavity are discussed, intriguing phenomena being confirmed: the coupling is strictly selective; structural modes and acoustic modes interfere with each other if and only if they fall into the same cluster, and hence termed cluster coupling. It is found that acoustic potential energy is a resultant from each cluster contribution, and thus clustered acoustic potential energy in a cavity may be extracted via cluster filtering without causing observation spillover, and may also be controlled independently using cluster actuation without causing control spillover. Employing both cluster filtering and cluster actuation, an optimal cluster control law using both ANC and AVC for minimizing clustered acoustic potential energy is derived. Based upon the control law, cluster control may be achieved, enabling the implementation of a multi-SISO system that may significantly mitigate computation load, as opposed to a MIMO system, on a controller. Finally, a numerical simulation is conducted, demonstrating the cluster control effect for suppressing acoustic potential energy in the cluster coupled cavity.