Experiments on spatial H2 control for vibration suppression of a piezoelectric laminate beam

This paper designs and experimentally evaluates the performance of a feedback controller for vibration suppression of a flexible beam. The controller is designed to minimize the spatial H₂ norm of the closed-loop system to ensure average reduction of vibration throughout the entire structure. In this work, the controller is designed to suppress the vibrations of the first six bending modes of the beam using a collocated piezoelectric actuator-sensor pair attached to the beam. Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros. It is shown that the spatial H₂ control has an advantage over the pointwise H₂ control in minimizing the vibration of the entire structure. This control design methodology can be applied to more general structural vibration suppression problems