H ∞ Control for Suppressing Acoustic Modes of a Distributed Structure Using Cluster Sensing and Actuation

Abstract

This research work presents an H∞ control design based on cluster sensing and actuation to suppress acoustic modes of a distributed panel structure which is subjected to excitation with varying frequency. A state—space model of the planar structure is obtained based on cluster sensing and cluster actuation. Uncertainty sources are considered for robustness of the control system. The eigenvalues of the structure’s acoustic power modes are assumed to vary with the excitation frequency in order to consider sound radiation from the vibrating panel structure. The proposed controller design covers the uncertainties caused by varying disturbance frequencies and inhomogeneities of the structure.