Adaptive two degree-of-freedom vibration control for flexible plate with piezoelectric patches

The paper is concerned with a two degree-of-freedom vibration control of flexible plate with multiple piezoelectric patch pairs. The control system consists of a robust feedback controller and adaptive feedforward controller to deal with uncertainties in modeling and implementation. Two kinds of adaptive algorithm are presented to update the weight parameters of the adaptive feedforward controller. One is based on a simple robust adaptation, and the other is a virtual error approach with assured stability unlike ordinary filtered-x algorithms. The validity of the proposed approach is examined in simulations in which the adaptive algorithms are applied to vibration control of a clamped flexible rectangular plate.