Journal
AUTOMATICA
Volume 77, Issue -, Pages 184-197Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.11.032
Keywords
Marine riser; Boundary control; Stochastic evolution system; Well-posedness; p-stability; Hilbert space
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This paper presents a new design of boundary controllers for global practical K-infinity-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.(C) 2016 Elsevier Ltd. All rights reserved.
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