DOI QR코드

DOI QR Code

Dynamics Analysis and Residual Vibration Control of an Overhead Shuttle System

오버헤드셔틀시스템의 동특성해석 및 잔류진동제어

  • Piao, Mingxu (School of Mechanical Engineering, Pusan National University) ;
  • Kim, Gyoung-Hahn (School of Mechanical Engineering, Pusan National University) ;
  • Shah, Umer Hameed (School of Mechanical Engineering, Pusan National University) ;
  • Hong, Keum-Shik (School of Mechanical Engineering, Pusan National University)
  • Received : 2016.03.02
  • Accepted : 2016.04.20
  • Published : 2016.06.01

Abstract

This paper discusses the dynamics and control problem of an overhead shuttle system (OSS), which is a critical part of the automated container terminal at a port. The main purpose of the OSS is efficient automated transport function of containers, which also requires high precision and safety. A major difference between the OSS and the conventional container crane is the configuration of the cables for hoisting the spreader. A mathematical model of the OSS is developed here for the first time, which results in an eight-pole system. Also, open loop control methods (trapezoidal and notch-type velocity profiles) are investigated so that the command input to the overhead shuttle produces the minimum possible sway of the payload. Simulation results show that the vibration suppression capability of the OSS is superior to the conventional overhead container crane, which is partially due to the cable configuration.

Keywords

References

  1. K. H. Kim, M.-H. T. Phan, and Y. J. Woo, "New conceptual handling systems in container terminals," Industrial Engineering & Management Systems, vol. 11, no. 4, pp. 299-309, Dec. 2012. https://doi.org/10.7232/iems.2012.11.4.299
  2. E. M. Abdel-Rehman, A. H. Nayfeh, and Z. N. Masoud, "Dynamics and control of cranes: a review," Journal of Vibration and Control, vol. 9, pp. 863-908, Jul. 2003.
  3. B. d'Andrea-Nove, F. Boustany, and B. P. Rao, "Feedback stabilization of a hybrid pde-ode system - application to an overhead crane," Mathematics of Control, Signals, and Systems, vol. 7, pp. 1-22, Mar. 1994. https://doi.org/10.1007/BF01211483
  4. H.-H. Lee, "Modeling and control of a three-dimensional overhead crane," Journal of Dynamic Systems, Measurement, and Control, vol. 120, pp. 471-476, Dec. 1998. https://doi.org/10.1115/1.2801488
  5. D. C. D. Oguamanam and J. S. Hansen, "Dynamics of a threedimensional overhead crane system," Journal of Sound and Vibration, vol. 242, no. 3, pp. 411-426, May 2001. https://doi.org/10.1006/jsvi.2000.3375
  6. K.-S. Hong and Q. H. Ngo, "Dynamics of the container crane on a mobile harbor," Ocean Engineering, vol. 53, pp. 16-24, Oct. 2012. https://doi.org/10.1016/j.oceaneng.2012.06.013
  7. K.-S. Hong, B. J. Park, and M. H. Lee, "Two-stage control for container cranes," JSME International Journal, Series C, vol. 43, no. 2, pp. 273-282, Jun. 2000. https://doi.org/10.1299/jsmec.43.273
  8. Z. N. Masoud and A. H. Nayfeh, "Sway reduction on container cranes using delayed feedback controller," Nonlinear Dynamics, vol. 34, pp. 347-358, Jun. 2003. https://doi.org/10.1023/B:NODY.0000013512.43841.55
  9. Z. N. Masoud, A. H. Nayfeh, and N. A. Nayfeh, "Sway reduction on quay side container cranes using delayed feedback controller: simulations and experiments," Journal of Vibration and Control, vol. 11, no. 8, pp. 1103-1122, Dec. 2003. https://doi.org/10.1177/1077546305056300
  10. Z. N. Masoud, "Effect of hoisting cable elasticity on anti sway controllers of quay side container cranes," Nonlinear Dynamics, vol. 58, pp. 129-140, Oct. 2009. https://doi.org/10.1007/s11071-009-9465-4
  11. K. J. Yang, K.-S. Hong, E. J. Rhee, and W. S. Yoo, "Model reference adaptive control of a flexible structure," KSME International Journal, vol. 15, no. 10, pp. 1356-1368, Oct. 2001. https://doi.org/10.1007/BF03185677
  12. K.-S. Hong, C. W. Kim, and K. T. Hong, "Boundary control of an axially moving belt system in a thin-metal production line," International Journal of Control, Automation, and Systems, vol. 2, no. 1, pp. 55-67, Mar. 2004.
  13. K.-J. Yang, K.-S. Hong, and F. Matsuno, "Robust adaptive boundary control of an axially moving string under a spatiotemporally varying tension," Journal of Sound and Vibration, vol. 273, no. 4-5, pp. 1007-1029, Jun. 2004. https://doi.org/10.1016/S0022-460X(03)00519-4
  14. C. W. Kim, K.-S. Hong, and H. Park, "Boundary control of an axially moving string: Actuator dynamics included," Journal of Mechanical Science and Technology, vol. 19, no. 1, pp. 40-50, Jan. 2005. https://doi.org/10.1007/BF02916103
  15. K.-J. Yang, K.-S. Hong, and F. Matsuno, "Robust boundary control of an axially moving string by using a PR transfer function," IEEE Transactions on Automatic Control, vol. 50, no. 12, pp. 2053-2058, Dec. 2005. https://doi.org/10.1109/TAC.2005.860252
  16. Q. H. Ngo, K.-S. Hong, and I. H. Jung, "Adaptive control of an axially moving system," Journal of Mechanical Science and Technology, vol. 23, no. 11, pp. 3071-3078, Nov. 2009. https://doi.org/10.1007/s12206-009-0912-4
  17. Q. C. Nguyen and K.-S. Hong, "Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking," Journal of Sound and Vibration, vol. 331, no. 13, pp. 3006-3019, Jun. 2012. https://doi.org/10.1016/j.jsv.2012.02.020
  18. N. B. Almutairi and M. Zribi, "Sliding mode control of a threedimensional overhead crane," Journal of Vibration and Control, vol. 15, no. 11, pp. 1679-1730, Nov. 2009. https://doi.org/10.1177/1077546309105095
  19. Q. H. Ngo and K.-S. Hong, "Sliding mode anti-sway control of an offshore container crane," IEEE/ASME Transactions on Mechatronics, vol. 17, no. 2, pp. 201-209, Jan. 2012. https://doi.org/10.1109/TMECH.2010.2093907
  20. Q. H. Ngo and K.-S. Hong, "Adaptive sliding mode control of container cranes," IET Control Theory and Applications, vol. 6, no. 5, pp. 662-668, Apr. 2012. https://doi.org/10.1049/iet-cta.2010.0764
  21. W. He, S. S. Ge, B. V. E. How, Y. S. Choo, and K.-S. Hong, "Robust adaptive boundary control of a flexible marine riser with vessel dynamics," Automatica, vol. 47, no. 4, pp. 722-732, Apr. 2011. https://doi.org/10.1016/j.automatica.2011.01.064
  22. W.-B. Baek and J.-S. Lim, "Adaptive variable structure control of container cranes with unknown payload and friction," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 10, pp. 1008-1013, Oct. 2014. https://doi.org/10.5302/J.ICROS.2014.14.0085
  23. K. T. Hong, C. D. Huh, and K.-S. Hong, "Command shaping control for limiting the transient sway angle of crane systems," International Journal of Control, Automation, and Systems, vol. 1, no. 1, pp. 43-53, Mar. 2003.
  24. Q. H. Ngo and K.-S. Hong, "Skew control of a quay container crane," Journal of Mechanical Science and Technology, vol. 23, no. 12, pp. 3332-3339, Dec. 2009. https://doi.org/10.1007/s12206-009-1020-1
  25. M.-S. Piao, U. H. Shah, J.-H. Jeon, K.-S. Hong, "Input shaping control of a refueling system operating in water," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 4, pp. 402-407, 2014. https://doi.org/10.5302/J.ICROS.2014.13.8004
  26. U. H. Shah and K.-S. Hong, "Input shaping control of a nuclear power plant's fuel transport system," Nonlinear Dynamics, vol. 77, no. 4, pp. 1737-1748, Apr. 2014. https://doi.org/10.1007/s11071-014-1414-1
  27. W. Singhose, L. Porter, M. Kenison, and E. Kriikku, "Effects of hoisting on the input shaping control of gantry cranes," Control Engineering Practice, vol. 8, pp. 1159-1165, Oct. 2000. https://doi.org/10.1016/S0967-0661(00)00054-X
  28. K.-S. Hong, "An open-loop control for underactuated manipulators using oscillatory inputs: steering capability of an unactuated joint," IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 469-480, Aug. 2002. https://doi.org/10.1109/87.998037
  29. K.-S. Hong, S.-C. Sohn, and M. H. Lee, "Sway control of a container crane (part II): regulation of the pendulum sway through patterninzing trolley moving velocity," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 3, no. 2, pp. 132-138, Jan. 1997.
  30. A. M. Karkoub and M. Zribi, "Robust control schemes for an overhead crane," Journal of Vibration and Control, vol. 7, pp. 395-416, Mar. 2001. https://doi.org/10.1177/107754630100700305
  31. Y.-S. Kim, K.-S. Hong, and S.-K. Sul, "Anti-sway control of container cranes: Inclinometer, observer, and state feedback," International Journal of Control, Automation, and Systems, vol. 2, no. 4, pp. 435-449, Dec. 2004.
  32. H. Park, D. Chwa, and K.-S. Hong, "A feedback linearization control of container cranes: Varying rope length," International Journal of Control, Automation, and Systems, vol. 5, no. 4, pp. 379-387, Aug. 2007.
  33. C.-S. Kim and K.-S. Hong, "Boundary control of container cranes from the perspective of controlling an axially moving string system," International Journal of Control, Automation, and Systems, vol. 7, no. 3, pp. 437-445, Jun. 2009. https://doi.org/10.1007/s12555-009-0313-6
  34. J. Bentsman and K.-S. Hong, "Vibrational stabilization of nonlinear parabolic systems with Neumann boundary conditions," IEEE Trans. on Automatic Control, vol. 36, no. 4, pp. 501-507, Apr. 1991. https://doi.org/10.1109/9.75112
  35. J. Bentsman, K.-S. Hong, and J. Fakhfakh, "Vibrational control of nonlinear time lag systems: Vibrational stabilization and transient behavior," Automatica, vol. 27, no. 3, pp. 491-500, May 1991. https://doi.org/10.1016/0005-1098(91)90106-C
  36. K.-S. Hong and J. Bentsman, "Stability criterion for linear oscillary parabolic systems," ASME Trans., Journal of Dynamic Systems, Measurement and Control, vol. 114, no. 1, pp. 175-178, Mar. 1992. https://doi.org/10.1115/1.2896501
  37. J. Bentsman and K.-S. Hong, "Transient behavior analysis of vibrationally controlled nonlinear parabolic systems with Neumann boundary conditions," IEEE Trans. on Automatic Control, vol. 38, no. 10, pp. 1603-1607, Oct. 1993. https://doi.org/10.1109/9.241587
  38. J. W. Wu and K.-S. Hong, "Delay-independent exponential stability criteria for time-varying discrete delay systems," IEEE Trans. on Automatic Control, vol. 39, no. 4, pp. 811-814, Apr. 1994. https://doi.org/10.1109/9.286258
  39. K.-S. Hong, J. W. Wu, and K. I. Lee, "New conditions for the exponential stability of evolution equations," IEEE Trans. on Automatic Control, vol. 39, no. 7, pp. 1432-1436, Jul. 1994. https://doi.org/10.1109/9.299627
  40. K.-S. Hong and J. Bentsman, "Application of averaging method for integro-differential equations to model reference adaptive control of parabolic systems," Automatica, vol. 30, no. 9, pp. 1415-1419, Sep. 1994. https://doi.org/10.1016/0005-1098(94)90006-X
  41. K.-S. Hong, "Asymptotic behavior analysis of a coupled timevarying system: Application to adaptive systems," IEEE Trans. on Automatic Control, vol. 42, no. 12, pp. 1693-1697, Dec. 1997. https://doi.org/10.1109/9.650018
  42. K.-S. Hong and C. T. Choi, "Task-oriented approaches to the inverse kinematics problem for a reclaimer excavating and transporting raw material," Advanced Robotics, vol. 14, no. 3, pp. 185-204, Jan. 2000. https://doi.org/10.1163/156855300741528
  43. K.-S. Hong and J. G. Kim, "Manipulability analysis of a parallel machine tool: Application to optimal link length design," Journal of Robotic Systems, vol. 17, no. 8, pp. 403-415, Jul. 2000. https://doi.org/10.1002/1097-4563(200008)17:8<403::AID-ROB1>3.0.CO;2-J
  44. K.-S. Hong, K. H. Choi, J. G. Kim, and S. Lee, "A PC-based open robot control system: PC-ORC," Robotics and Computer-Integrated Manufacturing, vol. 17, no. 4, pp. 355-365, Jun. 2001. https://doi.org/10.1016/S0736-5845(01)00010-2
  45. Q. H. Ngo, N. P. Nguyen, C. N. Nguyen, T. H. Tran, and K.-S. Hong, "Fuzzy sliding mode control of container cranes," International Journal of Control, Automation and Systems, vol. 13, no. 2, pp. 419-425, Apr. 2015. https://doi.org/10.1007/s12555-014-0150-0
  46. A. K. Pamosoaji and K.-S. Hong, "A path-planning algorithm using vector potential functions in triangular regions," IEEE Trans. on Systems, Man, and Cybernetics: Systems, vol. 43, no. 4, pp. 832-842, Jul. 2013. https://doi.org/10.1109/TSMCA.2012.2221457
  47. A. Widyotriatmo and K.-S. Hong, "Switching algorithm for robust configuration control of a wheeled vehicle," Control Engineering Practice, vol. 20, no. 3, pp. 315-325, Mar. 2012. https://doi.org/10.1016/j.conengprac.2011.11.007
  48. A. Widyotriatmo and K.-S. Hong, "Navigation function-based control of multiple wheeled vehicles," IEEE Transactions on Industrial Electronics, vol. 58, no. 5, pp. 1896-1906, May 2011. https://doi.org/10.1109/TIE.2010.2051394
  49. W. He, S. S. Ge, B. V. E. How, Y. S. Choo, and K.-S. Hong, "Robust adaptive boundary control of a flexible marine riser with vessel dynamics," Automatica, vol. 47, no. 4, pp. 722-732, Apr. 2011. https://doi.org/10.1016/j.automatica.2011.01.064
  50. Q. C. Nguyen and K.-S. Hong, "Stabilization of an axially moving web via regulation of axial velocity," Journal of Sound and Vibration, vol. 330. no. 20, pp. 4676-4688, Sep. 2011. https://doi.org/10.1016/j.jsv.2011.04.029
  51. Q. C. Nguyen and K.-S. Hong, "Transverse vibration control of axially moving membranes by regulation of axial velocity," IEEE Trans. on Control Systems Technology, vol. 20, no. 4, pp. 1124-1131, Jul. 2012. https://doi.org/10.1109/TCST.2011.2159384
  52. L. H. Nguyen, K.-S. Hong, and S. Park, "Road-frequency adaptive control for semi-active suspension system," International Journal of Control, Automation and Systems, vol. 8, no. 5, pp. 1029-1038, Oct. 2010. https://doi.org/10.1007/s12555-010-0512-1
  53. K.-S. Hong and J. Bentsman, "Direct adaptive control of parabolic systems: Algorithm synthesis, and convergence and stability analysis," IEEE Trans. Automatic Control, vol. 39, no. 10, pp. 2018-2033, Nov. 1994. https://doi.org/10.1109/9.328823
  54. K.-S. Hong, H. C. Sohn, and J. K. Hedrick, "Modified skyhook control of semi-active suspensions: A new model, gain scheduling, and hardware-in-the-loop tuning," ASME Trans., Journal of Dynamic Systems, Measurement and Control, vol. 124, no. 1, pp. 158-167, Mar. 2002. https://doi.org/10.1115/1.1434265
  55. Q. C. Nguyen and K.-S. Hong, "Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control," Journal of Sound and Vibration, vol. 329, no. 22, pp. 4588-4603, Oct. 2010. https://doi.org/10.1016/j.jsv.2010.05.021
  56. K.-J. Yang, K.-S. Hong, and F. Matsuno, "Boundary control of translating tensioned beam with varying speed," IEEE/ASME Transactions on Mechatronics, vol. 10, no. 5, pp. 594-597, Oct. 2005. https://doi.org/10.1109/TMECH.2005.856107
  57. K.-J. Yang, K.-S. Hong, and F. Matsuno, "Energy-based control of axially translating beams: Varying tension, varying speed, and disturbance adaptation," IEEE Transactions on Control Systems Technology, vol. 13, no. 6, pp. 1045-1054, Nov. 2005. https://doi.org/10.1109/TCST.2005.854368