Boundary Control of Coupled Nonlinear Three Dimensional Marine Risers

• Published in: Journal of marine science and application Vol. 12; no. 1; pp. 72 - 88
• Main Authors: Nguyen, T. L., Do, K. D., Pan, J.
• Format: Journal Article
• Language: English
• Published: Heidelberg Harbin Engineering University 01.03.2013; School of Mechanical and Chemical Engineering, The University of Western Australia, WA 6009, Australia%Department of Mechanical Engineering, Curtin University, WA 6102, Australia
• Subjects: Electrical Machines and Networks; Engineering; Geotechnical Engineering & Applied Earth Sciences; Lyapunov直接方法; Lyapunov直接法; Machinery and Machine Elements; Offshore Engineering; Power Electronics; Research Paper; 三维空间; 海洋立管; 稳定性分析; 耦合; 边界控制; 非线性偏微分方程; equations of motion; marine risers; nonlinear couplings; boundary control; nonlinear dynamics
• ISSN: 1671-9433; 1993-5048
• DOI: 10.1007/s11804-013-1175-8

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.