A sliding manifold approach for vibration reduction of flexible systems

In this paper an active vibration controller for flexible systems is develo ped using a sliding manifold approach. The controller is designed to "elimi nate" the system modes whose frequencies are close to the disturbance frequ encies. The sliding surface consists of a time-invarying part which "elimin ates" the selected modes without affecting the remaining dynamics, and a ti me-varying part which bounds the control amplitude and its rate in the tran sient. Moreover, the features of the controller allows one to reduce the ex citation of the high-frequency modes to reduce the spillover phenomenon. (C ) 1999 Elsevier Science Ltd. All rights reserved.