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    Boundary control of three-dimensional inextensible marine risers

    Access Status
    Fulltext not available
    Authors
    Do, Khac Duc
    Pan, J.
    Date
    2009
    Type
    Journal Article
    
    Metadata
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    Citation
    Do, K.D. and Pan, J. 2009. Boundary control of three-dimensional inextensible marine risers. Journal of Sound and Vibration. 327 (3-5): pp. 299-321.
    Source Title
    Journal of Sound and Vibration
    DOI
    10.1016/j.jsv.2009.07.009
    ISSN
    0022-460X
    School
    Department of Mechanical Engineering
    URI
    http://hdl.handle.net/20.500.11937/7364
    Collection
    • Curtin Research Publications
    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. © 2009 Elsevier Ltd.

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