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

In this paper, we consider a system modelling an axially moving viscoelastic 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 s...

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Bibliographic Details
Main Author: Abdelkarim Kelleche
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2017-11-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/926
Description
Summary:In this paper, we consider a system modelling an axially moving viscoelastic 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 multiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.
ISSN:1392-6292
1648-3510