Boundary control of three-dimenstional inextensible marine risers

Duc Do, Jie Pan

Research output: Contribution to journalArticlepeer-review

110 Citations (Scopus)


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
Issue number3-5
Publication statusPublished - 2009


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