Abstract
Traditionally, container cranes are modeled as a simple pendulum, witheither a flexible or a rigid hoisting cable, and a lumped mass at theend of that cable. In the case of large container cranes, the actualconfiguration of the hoisting mechanism is significantly different. Itconsists typically of an arrangement of four hoisting cables, which arehoisted from four different points on the trolley and attached on theload side to four points on a spreader bar used to lift containers.Thus, the dynamics of the actual container-crane hoisting assembly isdifferent from that of a simple pendulum. A controller design based onthe actual model is more likely to result in an improved response. Inthis work, a mathematical model of the actual container crane isdeveloped. Then, a simplified version of this model is used to calculatethe gain and delay for the delay controller developed earlier. Numericalsimulations are performed by applying the delay controller to the fullnonlinear model of the container crane.
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d'Andrea-Novel, B., Boustany, F., and Conrad, F., ‘Control of an overhead crane: Stabilization of flexibilities’, in Boundary Control and Boundary Variation: Proceedings of the IFIP WG 7.2 Conference, Sophia Antipolis, France, 1990, pp. 1–26.
d'Andrea-Novel, B., Boustany, F., Conrad, F., and Rao, B. P., ‘Feedback stabilization of a hybrid PDE-ODE system: Application to an overhead crane’, Mathematics of Control, Signals, and Systems 7, 1994, 1–22.
d'Andrea-Novel, B. and Boustany, F., ‘Control of an overhead crane: Feedback stabilization of an hybrid PDE-ODE system’, in Proceedings of the 1st European Control Conference: ECC'91, Grenoble, France, 1991, pp. 2244–2249.
Joshi, S. and Rahn, C. D., ‘Position control of a flexible cable gantry crane: Theory and experiment’, in Proceedings of the American Control Conference, Seattle, WA, 1995, pp. 2820–2824.
Martindale, S. C., Dawson, D. M., Zhu, J., and Rahn, C. D., ‘Approximate nonlinear control for a two degree of freedom overhead crane: Theory and experimentation’, in Proceedings of the American Control Conference, Seattle, WA, 1995, pp. 301–305.
Rahn, C. D., Zhang, F., Joshi, S., and Dawson, D. M., ‘Asymptotically stabilizing angle feedback for a flexible cable gantry crane’, Journal of Dynamic Systems, Measurement, and Control 121, 1999, 563–566.
Chin, C., Nayfeh, A. H., and Mook, D. T., ‘Dynamics and control of ship-mounted cranes’, in Proceedings of the 39th Structures, Structural Dynamics, and Materials Conference, AIAA-98-1731, Long Beach, CA, 1998.
Burg, T., Dawson, D., Rahn, C., and Rhodes, W., ‘Nonlinear control of an overhead crane via the saturating control approach of Teel’, in Proceedings of the IEEE International Conference on Robotics and Automation, Minneapolis, MN, 1996, pp. 3155–3160.
Champion, V., ‘Swayed by the arguments’, Cargo Systems International 16(8), 1989, 63–67.
Hubbell, J. T., Koch, B., and McCormick, D., ‘Modern crane control enhancements’, in Ports'92, Seattle, WA, 1992, pp. 757–767.
Henry, R. J., Masoud, Z. N., Nayfeh, A. H., and Mook, D. T., ‘Cargo pendulation reduction on ship-mounted cranes via boom-luff angle actuation’, Journal of Vibration and Control 7, 2001, 1253–1264.
Abdel-Rahman, E. M., Nayfeh, A. H., and Masoud, Z. N., ‘Dynamics and control of cranes: A review’, Journal of Vibration and Control 12, 2003, 863–909.
Zinober, A. S. I. and Fuller, A. T., ‘The sensitivity of nominally time-optimal control of systems to parameter variation’, International Journal of Control 17, 1973, 673–703.
Virkkunen, J. and Marttinen, A., ‘Computer control of a loading bridge’, in Proceedings of the IEE International Conference: Control, Oxford, UK, 1988, pp. 484–488.
Yoon, J. S., Park, B. S., Lee, J. S., and Park, H. S., ‘Various control schemes for implementation of the antiswing crane’, in Proceedings of the ANS 6th Topical Meeting on Robotics and Remote Systems, Monterey, CA, 1995, pp. 472–479.
Jones, J. F. and Petterson, B. J., ‘Oscillation damped movement of suspended objects’, in Proceedings of the IEEE International Conference on Robotics and Automation, Philadelphia, PA, Vol. 2, 1988, pp. 956–962.
Dadone, P. and VanLandingham, H. F., ‘Load transfer control for a gantry crane with arbitrary delay constraints’, Journal of Vibration and Control 8(2), 2002, 135–158.
Singhose, W. E., Porter, L. J., and Seering, W. P., ‘Input shaped control of a planar crane with hoisting’, in Proceedings of the American Control Conference, Albuquerque, NM, 1997, pp. 97–100.
Van de Ven, H. H., ‘Time-optimal control of crane operations’, Eindhoven University of Technology, Research Report 83-E-135, 1983.
Zinober, A. S. I. and Yang, X. H., ‘Continuous self-adaptive control of a time-varying nonlinear crane system’, in Proceedings of the IFAC Symposium on Identification and System Parameter Estimation, Beijing, China, 1988.
Hämäläinen, J. J., Marttinen, A., Baharova, L., and Virkkunen, J., ‘Optimal path planning for a trolley crane: Fast and smooth transfer of load’, IEE Proceedings, Control Theory and Applications 142(1), 1995, 51–57.
Haug, E. J., Computer Aided Kinematics and Dynamics of Mechanical Systems, Volume I: Basic Methods, Allyn and Bacon, Needham Heights, MA, 1993.
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Masoud, Z.N., Nayfeh, A.H. Sway Reduction on Container Cranes Using Delayed Feedback Controller. Nonlinear Dynamics 34, 347–358 (2003). https://doi.org/10.1023/B:NODY.0000013512.43841.55
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DOI: https://doi.org/10.1023/B:NODY.0000013512.43841.55