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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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
2017-11-01
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Series: | Mathematical Modelling and Analysis |
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Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/926 |
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.
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ISSN: | 1392-6292 1648-3510 |