Stabilizing a Vibrating String by Time Delay
Gugat M (2010)
Publication Language: English
Publication Type: Conference contribution, Original article
Publication year: 2010
Edited Volumes: 2010 15th International Conference on Methods and Models in Automation and Robotics, MMAR 2010
Pages Range: 144-147
Conference Proceedings Title: 15th International Conference on Methods and Models in Automation and Robotics (MMAR), 2010
Event location: Miedzyzdroje
ISBN: 978-1-4244-7828-6
DOI: 10.1109/MMAR.2010.5587248
Abstract
In the application of feedback controls, the computation of the controls may cause a delay. For vibrating systems, a constant delay can destroy the stabilizing effect of the control. To avoid this problem we consider a feedback where a certain delay is a part of the control law and not a perturbation. We consider a string that is fixed at one end and controlled with a boundary feedback with constant delay at the other end. We show the exponential stability of this system that is governed by the wave equation. Moreover, we show the robustness of the stability with respect to variations in time of the feedback parameter that appears as a factor in the control law. ©2010 IEEE.
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How to cite
APA:
Gugat, M. (2010). Stabilizing a Vibrating String by Time Delay. In IEEE (Eds.), 15th International Conference on Methods and Models in Automation and Robotics (MMAR), 2010 (pp. 144-147). Miedzyzdroje, PL.
MLA:
Gugat, Martin. "Stabilizing a Vibrating String by Time Delay." Proceedings of the MMAR 2010, Miedzyzdroje Ed. IEEE, 2010. 144-147.
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