Summary

Manufacture and use of metal bands, sheets, and cables often requires high-speed axial transport of the material. Disturbance forces can cause vibration to propagate through the process due to the bending stiffness coupling between adjacent roller-supported spans. This project introduces an active pivoting roller that adaptively decouples adjacent spans, thereby isolating a controlled span from bounded disturbances in an adjacent span. The system includes a partial differential equation for the two spans and an ordinary differential equation for the actuator. Exact model knowledge and adaptive isolation controllers, based on Lyapunov theory, regulate the controlled span from bounded disturbances in the adjacent, uncontrolled span. Assuming distributed damping in the uncontrolled span, the exact model knowledge and adaptive controllers exponentially and asymptotically drive the controlled span displacement to zero, respectively, while ensuring bounded uncontrolled span displacement and control force. Experiments demonstrate the effectiveness of the proposed controller in damping and disturbance-isolating the controlled span.

Publications

Ertur, D., and Li, Y., Rahn, C., “Adaptive Vibration Isolation for Flexible Structures,” ASME Journal of Vibration and Acoustics, Vol. 121, No. 4, pp. 440-445, October 1999.

Li, Y., and Rahn, C., “Adaptive Vibration Isolation for Axially Moving Beams,” IEEE/ASME Transactions on Mechatronics, Vol. 5, No. 4, December 2000.

Li, Y., Aron, D., and Rahn, C., “Vibration Isolation Control for Axially Moving Strings,” 1999 American Control Conference, San Diego, CA, June 1999, pp. 2708-2712.

Sponsor

National Science Foundation

For further information:  cdrahn@psu.edu. 

Copyright © 2001 Mechatronics Research Laboratory