Boundary Control of Coupled Nonlinear Three Dimensional Marine Risers
Boundary Control of Coupled Nonlinear Three Dimensional Marine Risers作者机构：School of Mechanical and Chemical Engineering The University of Western Australia WA 6009 Australia Department of Mechanical Engineering Curtin University WA 6102 Australia
出 版 物：《Journal of Marine Science and Application》 (船舶与海洋工程学报（英文版）)
年 卷 期：2013年第12卷第1期
页 面：72-88页
学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学]
主 题：marine risers boundary control nonlinear dynamics equations of motion nonlinear couplings
摘 要：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.
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