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Title: Adaptive boundary control of a nonlinear flexible string system
Authors: He, W.
Zhang, S.
Ge, S.S. 
Keywords: Adaptive control
boundary control
distributed parameter system (DPS)
flexible string
partial differential equation (PDE).
Issue Date: 2014
Citation: He, W., Zhang, S., Ge, S.S. (2014). Adaptive boundary control of a nonlinear flexible string system. IEEE Transactions on Control Systems Technology 22 (3) : 1088-1093. ScholarBank@NUS Repository.
Abstract: In this brief, the vibration control problem is investigated for a flexible string system in both transverse and longitudinal directions. The vibrating string is nonlinear due to the coupling between transverse and longitudinal displacements. Using the Hamilton's principle, the dynamics of the nonlinear string are presented by two partial and four ordinary differential equations. With the Lyapunov's direct method, adaptive boundary control is developed to suppress the string's vibration and the adaptive law is designed to compensate for the system parametric uncertainties. With the proposed control, the states of the system eventually converge to a compact set. Numerical simulations are carried out to verify the effectiveness of the proposed control. © 2014 IEEE.
Source Title: IEEE Transactions on Control Systems Technology
ISSN: 10636536
DOI: 10.1109/TCST.2013.2278279
Appears in Collections:Staff Publications

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