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http://dx.doi.org/10.3795/KSME-A.2004.28.1.011

Boundary Control of an Axially Moving Nonlinear Tensioned Elastic String  

박선규 (부산대학교 지능기계공학과)
이숙재 (부산대학교 지능기계공학과)
홍금식 (부산대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.28, no.1, 2004 , pp. 11-21 More about this Journal
Abstract
In this paper, an active vibration control of a tensioned elastic axially moving string is investigated. The dynamics of the translating string ale described by a non-linear partial differential equation coupled with an ordinary differential equation. The time varying control in the form of the right boundary transverse motions is suggested to stabilize the transverse vibration of the translating continuum. A control law based on Lyapunov's second method is derived. Exponential stability of the translating string under boundary control is verified. The effectiveness of the proposed controller is shown through the simulations.
Keywords
Exponential Stability; Axially Moving String; Boundary Cotrol; Hyperbolic Partial Differential Equation; Lyapunov Method; Nonlinear String;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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