Please use this identifier to cite or link to this item: https://doi.org/10.1109/CDC.2010.5718029
Title: Boundary control of a vibrating string under unknown time-varying disturbance
Authors: He, W. 
Ge, S.S. 
Hang, C.C. 
Hong, K.-S.
Issue Date: 2010
Citation: He, W., Ge, S.S., Hang, C.C., Hong, K.-S. (2010). Boundary control of a vibrating string under unknown time-varying disturbance. Proceedings of the IEEE Conference on Decision and Control : 2584-2589. ScholarBank@NUS Repository. https://doi.org/10.1109/CDC.2010.5718029
Abstract: In this paper, robust adaptive boundary control for a vibrating string under unknown time-varying disturbance is developed to suppress the string's vibration. The dynamics of the string is represented by a partial differential equation (PDE) and several ordinary differential equations (ODEs) involving functions of space and time. To deal with the system parametric uncertainty and stabilize the string, robust adaptive boundary control is developed at the tip of the string based on the Lyapunov's direct method. With the proposed boundary control, uniform ultimate boundedness of the closed loop system is achieved. The state of the string system is proven to converge to a small neighborhood of zero by appropriately choosing design parameters. Simulations are presented to illustrate the effectiveness of the proposed control. ©2010 IEEE.
Source Title: Proceedings of the IEEE Conference on Decision and Control
URI: http://scholarbank.nus.edu.sg/handle/10635/69531
ISBN: 9781424477456
ISSN: 01912216
DOI: 10.1109/CDC.2010.5718029
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