Identification of Vibration Superimposed Motion of a System with Distributed Parameters

Abstract

A precise model with low order for controller design is indispensable for the high performance control of thin flexible structures. Such systems require a high model quality ranging from slow, low frequency dynamics (rigid body) to fast, high frequency dynamics (vibration) for an accurate prediction of the superposed motion. The considered system in this contribution comprises low frequent pendulum dynamics and a dense natural frequency spectrum of a plate. In order to obtain a precises non-square multiple-intput multiple-output model description, an iterative identification procedure applying time and frequency methods is proposed. Additionally, an optimization based model order reduction considering a modal system description is introduced. The precise fit of the reduced order model to the collected data underpins the proposed procedure.