Boundary control of three-dimenstional inextensible marine risers

Duc Do, Jie Pan

    Research output: Contribution to journalArticle

    92 Citations (Scopus)

    Abstract

    This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.
    Original languageEnglish
    Pages (from-to)299-321
    JournalJournal of Sound and Vibration
    Volume327
    Issue number3-5
    DOIs
    Publication statusPublished - 2009

    Fingerprint

    Marine risers
    risers
    Hydraulic actuators
    Closed loop control systems
    Controllers
    Backstepping
    Ordinary differential equations
    Partial differential equations
    Dynamical systems
    Stabilization
    Hydraulics
    controllers
    hydraulic actuators
    hydraulic equipment
    uniqueness
    differential equations
    stabilization
    approximation

    Cite this

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    title = "Boundary control of three-dimenstional inextensible marine risers",
    abstract = "This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.",
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    language = "English",
    volume = "327",
    pages = "299--321",
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    }

    Boundary control of three-dimenstional inextensible marine risers. / Do, Duc; Pan, Jie.

    In: Journal of Sound and Vibration, Vol. 327, No. 3-5, 2009, p. 299-321.

    Research output: Contribution to journalArticle

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    T1 - Boundary control of three-dimenstional inextensible marine risers

    AU - Do, Duc

    AU - Pan, Jie

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    AB - This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.

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    DO - 10.1016/j.jsv.2009.07.009

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