Boundary control of two-dimensional marine risers with bending couplings

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

    Research output: Contribution to journalArticle

    50 Citations (Scopus)

    Abstract

    The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. © 2013 Elsevier Ltd.
    Original languageEnglish
    Pages (from-to)3605-3622
    JournalJournal of Sound and Vibration
    Volume332
    Issue number16
    DOIs
    Publication statusPublished - 2013

    Fingerprint

    Marine risers
    risers
    Closed loop systems
    feedback control
    Controllers
    controllers
    Equations of motion
    Stabilization
    uniqueness
    Computer simulation
    equations of motion
    disturbances
    stabilization
    approximation
    simulation
    energy

    Cite this

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    title = "Boundary control of two-dimensional marine risers with bending couplings",
    abstract = "The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. {\circledC} 2013 Elsevier Ltd.",
    author = "T.L. Nguyen and K.D. Do and Jie Pan",
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    language = "English",
    volume = "332",
    pages = "3605--3622",
    journal = "Journal Sound and Vibration",
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    Boundary control of two-dimensional marine risers with bending couplings. / Nguyen, T.L.; Do, K.D.; Pan, Jie.

    In: Journal of Sound and Vibration, Vol. 332, No. 16, 2013, p. 3605-3622.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Boundary control of two-dimensional marine risers with bending couplings

    AU - Nguyen, T.L.

    AU - Do, K.D.

    AU - Pan, Jie

    PY - 2013

    Y1 - 2013

    N2 - The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. © 2013 Elsevier Ltd.

    AB - The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. © 2013 Elsevier Ltd.

    U2 - 10.1016/j.jsv.2013.02.026

    DO - 10.1016/j.jsv.2013.02.026

    M3 - Article

    VL - 332

    SP - 3605

    EP - 3622

    JO - Journal Sound and Vibration

    JF - Journal Sound and Vibration

    SN - 0022-460X

    IS - 16

    ER -