Please use this identifier to cite or link to this item: https://doi.org/10.1109/TCST.2010.2099230
Title: Robust adaptive boundary control of a vibrating string under unknown time-varying disturbance
Authors: He, W. 
Ge, S.S. 
Keywords: Adaptive control
Boundary control
Distributed parameter system
Partial differential equation (PDE)
Issue Date: Jan-2012
Citation: He, W., Ge, S.S. (2012-01). Robust adaptive boundary control of a vibrating string under unknown time-varying disturbance. IEEE Transactions on Control Systems Technology 20 (1) : 48-58. ScholarBank@NUS Repository. https://doi.org/10.1109/TCST.2010.2099230
Abstract: In this paper, robust adaptive boundary control is developed for a class of flexible string-type systems under unknown time-varying disturbance. The dynamics of the string system is represented by a nonhomogeneous hyperbolic partial differential equation (PDE) and two ordinary differential equations. Boundary control is proposed at the right boundary of the string based on the original distributed parameter system model (PDE) to suppress the vibration excited by the external unknown disturbance. Adaptive control is designed to compensate the system parametric uncertainty. With the proposed robust adaptive boundary control, all the signals in the closed-loop system are guaranteed to be uniformly ultimately bounded. The state of the string system is proven to converge to a small neighborhood of zero by appropriately choosing design parameters. Simulations are provided to illustrate the effectiveness of the proposed control. © 2006 IEEE.
Source Title: IEEE Transactions on Control Systems Technology
URI: http://scholarbank.nus.edu.sg/handle/10635/57281
ISSN: 10636536
DOI: 10.1109/TCST.2010.2099230
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