Active vibration control of a flexible rod moving in water: Application to nuclear refueling machines

Abstract This paper addresses a simultaneous control of the positions of the bridge and trolley and the vibrations of the load of a nuclear refueling machine (RM) that transports nuclear fuel rods to given locations in the nuclear reactor. Hamilton’s principle is used to develop the equations of motion of the RM. The lateral and transverse vibrations of the fuel rods during their transportation in water are analyzed. In deriving the control law, the nonlinear hydrodynamic forces acting on the rod are considered. Then, a boundary control scheme is developed, which suppresses the lateral and transverse vibrations simultaneously in the course of the transportation of the fuel rod to the desired locations. Furthermore, Lyapunov function-based stability analyses are performed to prove the uniform ultimate boundedness of the closed loop system as well as the simultaneous control of the positions of the bridge and trolley under the influence of nonlinear hydrodynamic forces. Finally, experimental and simulation results are provided to demonstrate the effectiveness of the proposed control scheme.

[1]  Thomas Parisini,et al.  Networked Predictive Control of Uncertain Constrained Nonlinear Systems: Recursive Feasibility and Input-to-State Stability Analysis , 2011, IEEE Transactions on Automatic Control.

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

[3]  Shuzhi Sam Ge,et al.  Dynamic modeling and vibration control of a flexible satellite , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[4]  Carl M. Larsen,et al.  On fatigue damage accumulation from in-line and cross-flow vortex-induced vibrations on risers , 2006 .

[5]  Yu Liu,et al.  Modelling and control for a class of axially moving nonuniform system , 2017, Int. J. Syst. Sci..

[6]  Huiping Li,et al.  Continuous-time model predictive control of under-actuated spacecraft with bounded control torques , 2017, Autom..

[7]  Mohammad Eghtesad,et al.  Vibration Control and Trajectory Tracking for General In-Plane Motion of an Euler–Bernoulli Beam Via Two-Time Scale and Boundary Control Methods , 2008 .

[8]  Kyu-Tae Kim.  A study on the grid-to-rod fretting wear-induced fuel failure observed in the 16×16KOFA fuel , 2010 .

[9]  Ali H. Nayfeh,et al.  Modeling Steady-state and Transient Forces on a Cylinder , 2007 .

[10]  Luca Zaccarian,et al.  Lyapunov-Based Sufficient Conditions for Exponential Stability in Hybrid Systems , 2013, IEEE Transactions on Automatic Control.

[11]  K. Hong,et al.  Robust adaptive boundary control of an axially moving string under a spatiotemporally varying tension , 2004 .

[12]  Keum Shik Hong,et al.  Transverse Vibration Control of Axially Moving Membranes by Regulation of Axial Velocity , 2012, IEEE Transactions on Control Systems Technology.

[13]  Shuzhi Sam Ge,et al.  Robust adaptive control of a thruster assisted position mooring system , 2014, Autom..

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

[15]  Hayden Marcollo,et al.  On shear flow single mode lock-in with both cross-flow and in-line lock-in mechanisms , 2006 .

[16]  R. T. Pavlica,et al.  An experimental study of fuel assembly vibrations induced by coolant flow , 1966 .

[17]  Wan Kyun Chung,et al.  NATURAL FREQUENCIES AND OPE–LOOP RESPONSES OF AN ELASTIC BEAM FIXED ON A MOVING CART AND CARRYING AN INTERMEDIATE LUMPED MASS , 2000 .

[18]  Keum-Shik Hong,et al.  Input shaping control of a nuclear power plant’s fuel transport system , 2014 .

[19]  Keum-Shik Hong,et al.  Adaptive sliding mode control of container cranes , 2012 .

[20]  G. K. Furnes.  ON MARINE RISER RESPONSES IN TIME- AND DEPTH-DEPENDENT FLOWS , 2000 .

[21]  Keum-Shik Hong,et al.  Modified Skyhook Control of Semi-Active Suspensions: A New Model, Gain Scheduling, and Hardware-in-the-Loop Tuning , 2002 .

[22]  Warren E. Dixon,et al.  Adaptive boundary control of store induced oscillations in a flexible aircraft wing , 2016, Autom..

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

[24]  James Lam,et al.  Multi-objective control of vehicle active suspension systems via load-dependent controllers , 2006 .

[25]  Alberto Cavallo,et al.  Selective modal control for vibration reduction in flexible structures , 2017, Autom..

[26]  K. Hong,et al.  A Feedback Linearization Control of Container Cranes: Varying Rope Length , 2007 .

[27]  Keum-Shik Hong,et al.  Exponential Stabilization of an Axially Moving Tensioned Strip by Passive Damping and Boundary Control , 2002 .

[28]  Keum-Shik Hong,et al.  Direct adaptive control of parabolic systems: algorithm synthesis and convergence and stability analysis , 1994, IEEE Trans. Autom. Control..

[29]  Miroslav Krstic,et al.  Boundary observer design for hyperbolic PDE-ODE cascade systems , 2016, Autom..

[30]  K. Hong,et al.  Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking , 2012 .

[31]  Fumitoshi Matsuno,et al.  Robust boundary control of an axially moving string by using a PR transfer function , 2005, IEEE Transactions on Automatic Control.

[32]  Thomas Parisini,et al.  Neural networks for feedback feedforward nonlinear control systems , 1994, IEEE Trans. Neural Networks.

[33]  Huijun Gao,et al.  Robust Sampled-Data $H_{\infty}$ Control for Vehicle Active Suspension Systems , 2010, IEEE Transactions on Control Systems Technology.

[34]  C. Williamson,et al.  Vortex-Induced Vibrations , 2004, Wind Effects on Structures.

[35]  S. S. Chen.  Vibration of nuclear fuel bundles , 1975 .

[36]  R. P. Han,et al.  A simple and accurate added mass model for hydrodynamic fluid—Structure interaction analysis , 1996 .

[37]  E. de Langre,et al.  Coupling of Structure and Wake Oscillators in Vortex-Induced Vibrations , 2004 .

[38]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

[39]  Dragan Nesic,et al.  Lyapunov-Based Small-Gain Theorems for Hybrid Systems , 2014, IEEE Transactions on Automatic Control.

[40]  Jean Lévine,et al.  Barriers and potentially safe sets in hybrid systems: Pendulum with non-rigid cable , 2016, Autom..

[41]  K. D. Do,et al.  Boundary control of two-dimensional marine risers with bending couplings , 2013 .

[42]  J. M. R. Graham,et al.  NUMERICAL PREDICTION OF VIV ON LONG FLEXIBLE CIRCULAR CYLINDERS , 2001 .

[43]  Shuzhi Sam Ge,et al.  Cooperative control of a nonuniform gantry crane with constrained tension , 2016, Autom..

[44]  K. E. Kaasen,et al.  Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow , 2006 .

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

[46]  Q. H. Ngo,et al.  Sliding-Mode Antisway Control of an Offshore Container Crane , 2012, IEEE/ASME Transactions on Mechatronics.

[47]  Kyung-Jinn Yang,et al.  Boundary control of a translating tensioned beam with varying speed , 2005, IEEE/ASME Transactions on Mechatronics.

[48]  Wei He,et al.  Vibration Control of a Flexible Robotic Manipulator in the Presence of Input Deadzone , 2017, IEEE Transactions on Industrial Informatics.

[49]  L. Meirovitch,et al.  On the problem of observation spillover in self-adjoint distributed-parameter systems , 1983 .

[50]  Keum-Shik Hong,et al.  Open-Loop Vibration Control of an Underwater System: Application to Refueling Machine , 2017, IEEE/ASME Transactions on Mechatronics.

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

[52]  Shuang Zhang,et al.  Control Design for Nonlinear Flexible Wings of a Robotic Aircraft , 2017, IEEE Transactions on Control Systems Technology.

[53]  Armin W. Troesch,et al.  HYDRODYNAMIC FORCES ACTING ON CYLINDERS OSCILLATING AT SMALL AMPLITUDES , 1991 .

[54]  J. Lin,et al.  Vibration Suppression Control of Beam-cart System with Piezoelectric Transducers by Decomposed Parallel Adaptive Neuro-fuzzy Control , 2009 .