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    Stochastic boundary control design for extensible marine risers in three dimensional space

    Access Status
    Fulltext not available
    Authors
    Do, Khac Duc
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Do, K.D. 2017. Stochastic boundary control design for extensible marine risers in three dimensional space. Automatica. 77: pp. 184-197.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2016.11.032
    ISSN
    0005-1098
    School
    Department of Mechanical Engineering
    URI
    http://hdl.handle.net/20.500.11937/34286
    Collection
    • Curtin Research Publications
    Abstract

    This paper presents a new design of boundary controllers for global practical K8-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads. The control design and analysis of well-posedness and stability of the closed-loop system are carried out based on a new Lyapunov-type theorem, which is developed for studying well-posedness and p-stability of a class of stochastic evolution systems (SESs) in Hilbert space. Since this theorem eases difficulties in verification of the coercivity condition but requires conditions of a form similar to Lyapunov-type theorems for stochastic lumped-parameter systems, it has a potential application to other stochastic distributed-parameter systems.

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