Optimal vibration control for structural-acoustic coupling system

Abstract

This paper proposes designing a static output feedback controller for a structural-acoustics coupling system using piezoelectric actuators. The system consists of a rectangular cavity with two flexible plates, one at the top of the cavity and the other at the bottom, and four other rigid boundaries. Piezoelectric pair patches are considered to be bonded to the top plate, and each pair is assumed to produce a pure moment actuation. The top plate is exposed to an external pressure excitation due to a planar wave generated by a sound source mounted above the cavity. The series solution is assumed for the displacements of the plates and the pressure inside the cavity. The responses of the coupled system are obtained using Galarkin’s method. In the control scheme, the controller gains have been optimally tuned using genetic algorithms. The proposed static output feedback controller shows an acceptable performance with simple implementation requirements compared to the linear quadratic Gaussian state feedback controller.