Boundary control of coupled nonlinear three dimensional marine risers

T.L. Nguyen, K. Do, Jie Pan

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


This paper presents a design of boundary controllers implemented at the top end for global stabilization of a marine riser in a three dimensional space under environmental loadings. Based on the energy approach, nonlinear partial differential equations of motion, including bending-bending and longitudinal-bending couplings for the risers are derived. The couplings cause mutual effects between the three independent directions in the riser's motions, and make it difficult to minimize its vibrations. The Lyapunov direct method is employed to design the boundary controller. It is shown that the proposed boundary controllers can effectively reduce the riser's vibration. Stability analysis of the closed-loop system is performed using the Lyapunov direct method. Numerical simulations illustrate the results. © 2013 Harbin Engineering University and Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Pages (from-to)72-88
JournalJournal of Marine Science and Application
Issue number1
Publication statusPublished - 2013


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