Multimodal feedback control of a vibrating plate with non-colocated piezoelectric actuators and sensors

摘要

This paper is concerned with the theorical and practical problem of suppressing the vibration of a plate subjected to an acoustic unknown loading. The plate is equipped with non-colocated piezoelectric PZT actuators and PVDF sensors. A state-space model for the plate is first identified from transfer functions between actuators and sensors; complex modes are used in order to take modal truncation and non proportionnal damping into account. The optimal controller is then derived by applying Lenear Quadratic Gaussian control to a global state-space model including the plate and the real-time device dynamics. Experimental results are finally presented for a 11 modes control in the 0-200Hz range.