Adaptive Boundary Control of Out-of-Plane Cable Vibration

Abstract

This paper develops active controllers for the out-of-plane vibration of a flexible cable using boundary actuators and sensors. An exact model knowledge controller exponentially stabilizes the cable displacement assuming known system parameters. An adaptive controller asymptotically stabilizes the cable displacement while compensating for parametric uncertainty in the actuator mass and cable tension. The performance of the controllers is experimentally demonstrated.