Please use this identifier to cite or link to this item: https://doi.org/10.1109/CDC.2011.6161143
Title: Vibration control of a coupled nonlinear string system in transverse and longitudinal directions
Authors: Ge, S.S. 
Zhang, S.
He, W. 
Issue Date: 2011
Source: Ge, S.S.,Zhang, S.,He, W. (2011). Vibration control of a coupled nonlinear string system in transverse and longitudinal directions. Proceedings of the IEEE Conference on Decision and Control : 3742-3747. ScholarBank@NUS Repository. https://doi.org/10.1109/CDC.2011.6161143
Abstract: In this paper, vibration control is considered in both transverse and longitudinal directions for a coupled nonlinear flexible string system. The vibrating string is nonlinear due to the consideration of the coupling between transverse and longitudinal displacements. By using Hamilton's principle, the dynamics of the nonlinear string are presented by two partial differential equations (PDEs) and four ordinary differential equations (ODEs). Based on Lyapunov's direct method, boundary control is constructed to regulate the string's vibration and stabilize the system. Numerical simulations are provided to demonstrate the effectiveness of the proposed control. © 2011 IEEE.
Source Title: Proceedings of the IEEE Conference on Decision and Control
URI: http://scholarbank.nus.edu.sg/handle/10635/72157
ISBN: 9781612848006
ISSN: 01912216
DOI: 10.1109/CDC.2011.6161143
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