Energy Extraction Based Robust Linear Quadratic Gaussian Control of Acoustic Structure Interaction in Three Dimensional Enclosure

Abstract

This paper presents an linear quadratic Gaussian (LQG)based robust control strategy for active noise reduction in a 3D enclosure wherein acousticstructure interaction dynamics is present. The acoustic disturbance is created by the piezoactuated vibrating boundary surface of the enclosure. The control signal is generated by the speaker which is noncollocated with the sensing microphone mounted inside the enclosure. The dynamic model of the system is obtained using frequencydomain system identification techniques. The state weighting matrix in the LQG cost function is determined analytically in the closedform which allows the control designer to directly penalize the total acoustic energy of the system. The robustness of the controller is also ensured to guarantee the closedloop stability against the unmodeled dynamics and parametric uncertainties. Simulation and experiment results are given which demonstrate the effectiveness of the proposed control methodology.