Boundary control of coupled nonlinear three dimensional marine risers

T.L. Nguyen, K. Do, Jie Pan

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. © 2013 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.
    Original languageEnglish
    Pages (from-to)72-88
    JournalJournal of Marine Science and Application
    Volume12
    Issue number1
    DOIs
    Publication statusPublished - 2013

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    Marine risers
    Controllers
    Closed loop systems
    Partial differential equations
    Equations of motion
    Stabilization
    Computer simulation

    Cite this

    @article{e767a37d49404de2af35155809dc478a,
    title = "Boundary control of coupled nonlinear three dimensional marine risers",
    abstract = "This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. {\circledC} 2013 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.",
    author = "T.L. Nguyen and K. Do and Jie Pan",
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    language = "English",
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    Boundary control of coupled nonlinear three dimensional marine risers. / Nguyen, T.L.; Do, K.; Pan, Jie.

    In: Journal of Marine Science and Application, Vol. 12, No. 1, 2013, p. 72-88.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Boundary control of coupled nonlinear three dimensional marine risers

    AU - Nguyen, T.L.

    AU - Do, K.

    AU - Pan, Jie

    PY - 2013

    Y1 - 2013

    N2 - This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. © 2013 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.

    AB - This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. © 2013 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.

    U2 - 10.1007/s11804-013-1175-8

    DO - 10.1007/s11804-013-1175-8

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    JF - Journal of Marine Science and Application

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