Boundary Control and Stabilization of an Axially Moving Viscoelastic String under a Boundary Disturbance

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Date

2017

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Université de M'sila

Abstract

In this paper, we consider a system modelling an axially moving vis- coelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The mul- tiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.

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