Boundary Control of a Flexible Riser With the Application to Marine Installation

This paper investigates the control problem of a marine riser installation system. The riser installation system consisting of a vessel, a flexible riser, and a subsea payload is modeled as a distributed parameter system with one partial differential equation and four ordinary differential equations. Based on Lyapunov's direct method, adaptive boundary control is proposed at the top and bottom boundaries of the riser to position the subsea payload to the desired set point and suppress the riser's vibration. With the proposed control, uniform boundedness of the steady-state error between the boundary payload and the desired position is achieved by suitably choosing the design parameters. Numerical simulations are presented for demonstrating the effectiveness of the proposed control.

[1]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine riser with vessel dynamics , 2010, Proceedings of the 2010 American Control Conference.

[2]  Jianxin Xu,et al.  Steady-state iterative learning control for a class of nonlinear PDE processes , 2011 .

[3]  Brigitte d'Andréa-Novel,et al.  Feedback stabilization of a hybrid PDE-ODE system: Application to an overhead crane , 1994, Math. Control. Signals Syst..

[4]  Zhihua Qu,et al.  Robust and adaptive boundary control of a stretched string on a moving transporter , 2001, IEEE Trans. Autom. Control..

[5]  Darren M. Dawson,et al.  Lyapunov-Based Control of Mechanical Systems , 2000 .

[6]  Keum-Shik Hong,et al.  Direct adaptive control of parabolic systems: algorithm synthesis, and convergence and stability analysis , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[7]  Shuzhi Sam Ge,et al.  Boundary Control of a Coupled Nonlinear Flexible Marine Riser , 2010, IEEE Transactions on Control Systems Technology.

[8]  Shuzhi Sam Ge,et al.  Dynamic Load Positioning for Subsea Installation via Adaptive Neural Control , 2010, IEEE Journal of Oceanic Engineering.

[9]  Miroslav Krstic,et al.  Adaptive boundary control for unstable parabolic PDEs - Part III: Output feedback examples with swapping identifiers , 2007, Autom..

[10]  Sakdirat Kaewunruen,et al.  Nonlinear free vibrations of marine risers/pipes transporting fluid , 2005 .

[11]  Shuzhi Sam Ge,et al.  Robust Adaptive Boundary Control of a Vibrating String Under Unknown Time-Varying Disturbance , 2010, IEEE Transactions on Control Systems Technology.

[12]  E. Bobasu,et al.  On dynamics and control for a system of conservation laws - the case of the overhead crane , 2012, Proceedings of the 13th International Carpathian Control Conference (ICCC).

[13]  Shuzhi Sam Ge,et al.  Boundary Output-Feedback Stabilization of a Timoshenko Beam Using Disturbance Observer , 2013, IEEE Transactions on Industrial Electronics.

[14]  Khac Duc Do,et al.  Boundary control of three-dimensional inextensible marine risers , 2009 .

[15]  Brigitte d'Andréa-Novel,et al.  Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach , 2000, Autom..

[16]  Shuzhi Sam Ge,et al.  Control of Coupled Vessel, Crane, Cable, and Payload Dynamics for Subsea Installation Operations , 2011, IEEE Transactions on Control Systems Technology.

[17]  K. D. Do,et al.  Boundary control of transverse motion of marine risers with actuator dynamics , 2008 .

[18]  Miroslav Krstic,et al.  Adaptive boundary control for unstable parabolic PDEs - Part II: Estimation-based designs , 2007, Autom..

[19]  Bin Yao,et al.  A Two-Loop Performance-Oriented Tip-Tracking Control of a Linear-Motor-Driven Flexible Beam System With Experiments , 2013, IEEE Transactions on Industrial Electronics.

[20]  Tseng Huang,et al.  Three Dimensional Analysis Of A Marine Riser With Large Displacements , 1991 .

[21]  Rong-Jong Wai,et al.  Intelligent optimal control of single-link flexible robot arm , 2004, IEEE Transactions on Industrial Electronics.

[22]  Wei Guo,et al.  The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control , 2009, Autom..

[23]  Stephen J Rowe,et al.  DEEPWATER INSTALLATION OF SUBSEA HARDWARE , 2001 .

[24]  Fumitoshi Matsuno,et al.  Energy-based control of axially translating beams: varying tension, varying speed, and disturbance adaptation , 2005, IEEE Transactions on Control Systems Technology.

[25]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine installation system , 2011, 49th IEEE Conference on Decision and Control (CDC).

[26]  Miroslav Krstic.  Optimal Adaptive Control—Contradiction in Terms or a Matter of Choosing the Right Cost Functional? , 2008, IEEE Transactions on Automatic Control.

[27]  Shuzhi Sam Ge,et al.  Vibration control of an Euler–Bernoulli beam under unknown spatiotemporally varying disturbance , 2011, Int. J. Control.

[28]  Shuzhi Sam Ge,et al.  Modeling and Control of a Nonuniform Vibrating String Under Spatiotemporally Varying Tension and Disturbance , 2012, IEEE/ASME Transactions on Mechatronics.

[29]  K. Hong,et al.  Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control , 2010 .

[30]  Miroslav Krstic,et al.  Adaptive Boundary Control for Unstable Parabolic PDEs—Part I: Lyapunov Design , 2008, IEEE Transactions on Automatic Control.

[31]  Shuzhi Sam Ge,et al.  Active control of flexible marine risers , 2009 .