Enhancing vibration suppression in a periodically excited flexible beam by using a repetitive model predictive control strategy

Abstract

This experimental study was conducted for the purpose of enhancing vibration suppression in periodically excited flexible structures by using model predictive control (MPC), an advanced optimal-control method that can be used to handle system constraints at all sampling steps. The Hildreth optimization solver was used to examine two MPC strategies, a basic MPC strategy and a repetitive MPC (RMPC) strategy, and the active vibration-control design and performance of the strategies were evaluated. The disturbance-rejection performance of the applied MPC methods was specifically investigated by using periodic input signals to excite a piezoelectric flexible beam. These comparative studies performed together with parameter analysis offer a design guideline for achieving satisfactory vibration-suppression performance and further demonstrate that the applied RMPC method can effectively suppress the vibration of a flexible-structure system.