Control of a riser through the dynamic of the vessel

L. Seghour; A. Khemmoudj; N. E. Tatar

doi:10.1080/00036811.2015.1080249

Control of a riser through the dynamic of the vessel

L. Seghour, A. Khemmoudj, N. E. Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we prove an exponential decay result for the energy associated to a flexible marine riser with vessel dynamics. By applying a control at the top boundary of the riser we shall attenuate its vibration in a fast manner. The method is based on the multiplier technique. The riser is modeled as a viscoelastic beam with a (slightly perturbed) standard relaxation kernel.

Original language	English
Pages (from-to)	1957-1973
Number of pages	17
Journal	Applicable Analysis
Volume	95
Issue number	9
DOIs	https://doi.org/10.1080/00036811.2015.1080249
State	Published - 1 Sep 2016

Bibliographical note

Publisher Copyright:
© 2015 Taylor & Francis.

Keywords

boundary control
exponential stabilization
multiplier technique
relaxation function
viscoelastic material

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2015.1080249

Cite this

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abstract = "In this paper, we prove an exponential decay result for the energy associated to a flexible marine riser with vessel dynamics. By applying a control at the top boundary of the riser we shall attenuate its vibration in a fast manner. The method is based on the multiplier technique. The riser is modeled as a viscoelastic beam with a (slightly perturbed) standard relaxation kernel.",

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AB - In this paper, we prove an exponential decay result for the energy associated to a flexible marine riser with vessel dynamics. By applying a control at the top boundary of the riser we shall attenuate its vibration in a fast manner. The method is based on the multiplier technique. The riser is modeled as a viscoelastic beam with a (slightly perturbed) standard relaxation kernel.

KW - boundary control

KW - exponential stabilization

KW - multiplier technique

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KW - viscoelastic material

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Control of a riser through the dynamic of the vessel

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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