Active vibration control of plate by active mass damper and negative acceleration feedback control algorithms

Abstract

In this study, an active mass damper that could track desired displacement was considered as a controller to suppress vibrations of a plate. Multi-input multi-output modal-space negative acceleration feedback control algorithm and decentralized multi-input multi-output negative acceleration feedback control algorithm were proposed and their stability conditions were checked theoretically. Stability conditions for both controllers are static, and they can effectively increase the damping of target mode without causing instability in low-frequency region. It was proved theoretically that both the multi-input multi-output modal-space negative acceleration feedback control and the decentralized multi-input multi-output negative acceleration feedback control can suppress vibrations of a continuous system such as a plate.