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Adaptive Anti-Sway Trajectory Tracking Control of Overhead Crane using Fuzzy Observer and Fuzzy Variable Structure Control

퍼지 관측기와 퍼지 가변구조제어를 이용한 천정주행 크레인의 적응형 흔들림 억제 궤적추종제어

  • 박문수 (아주대학교 전자공학부) ;
  • 좌동경 (아주대학교 전자공학부) ;
  • 홍석교 (아주대학교 전자공학부)
  • Published : 2007.05.01

Abstract

Adaptive anti-sway and trajectory tracking control of overhead crane is presented, which utilizes Fuzzy Uncertainty Observer(FUO) and Fuzzy based Variable Structure Control(FVSC). We consider an overhead crane system which can be decoupled into the actuated and unactuated subsystems with its own lumped uncertainty such as parameter uncertainties and external disturbance. First, a new method for anti-sway control using FVSC is proposed to improve the conventional method based on Lyapunov direct method, while a conventional trajectory tracking control law using feedback linearization is directly adopted. Second, FUO is designed to estimate one of the two lumped uncertainties which can compensate both of them, based on the fact that two lumped uncertainties are coupled with each other. Then, an adaptive anti-sway control is proposed by incorporating the proposed FVSC and FUO. Under the condition that the observation error is Uniformly Ultimately Bounded(UUB) within an arbitrarily shrinkable region, the overall closed-loop system is shown to be Globally Uniformly Ultimately Bounded(GUUB). In addition, the Global Asymptotic Stability(GAS) of it is shown under the vanishing disturbance assumption. Finally, the effectiveness of the proposed scheme has been confirmed by numerical simulations.

Keywords

References

  1. M. Reyhanoglu, A van der Schaft, N. H. McClamroch, 'Dynamicsand control of a class of mechanical systems,' IEEE Trans. on Automatic Control, vol. 44, no. 9, pp. 1663-1671, Sep. 1999 https://doi.org/10.1109/9.788533
  2. M. Jain and G Rodriguez, 'An analysis of the kinematics and dynamics of underactuated manipulators,' IEEE Trans. on Robotics and Automation, vol. 9, no. 4, pp. 411-422, Sep. 1993 https://doi.org/10.1109/70.246052
  3. M. E. Hawwary, A Elshafei, H. M. Emara, and H. A Abdel Fattah, 'Adaptive fuzzy control of the inverted pendulum problem,' IEEETrans. on Control System Technology, vol. 14,no. 6, pp. 1135-1144, Nov.2006 https://doi.org/10.1109/TCST.2006.880217
  4. R. Lozano, I. Fantoni, and D. J. Block, 'Stabilization of the inverted pendulum around its homoclinic orbit,' Systems & Control Letters, vol. 40, pp. 197-204, 2000 https://doi.org/10.1016/S0167-6911(00)00025-6
  5. M. W. Spong, 'Partial feedback linearization of underactuated mechanical systems,' Proc. IEEEInt. Conf. on Intelligent Robots and Systems, pp. 314-321,1994
  6. I. Fantoniand R. Lozano,Non-linear Corurolfor Underactuated Mechanical Systems, Springer, 2002
  7. H. Lee, 'Modeling and control of a three-dimensional overhead crane,' ASME J. Dyn. Syst., Meas., Control, vol. 120, no. 4, pp. 471-476, 1998 https://doi.org/10.1115/1.2801488
  8. 김환성, 김명규, 유삼상, '캔트리 크레인의 입력보상형 분 산제어;' 제어. 자동화 시스템공학 논문지, 제 7 권, 제 4 호, pp. 281-287, 2001.4
  9. Y. Kim, K. Hong, and S. SuI, 'Anti-sway control of container cranes: Inclinometer, observer, and state feedback,' International Journal of Control, Automation and System, vol. 2, no. 4, pp. 435-449, 2004
  10. 김영복, 정용길, '$H^\infty$ gain scheduling 기법을 이용한 컨테이 너 크레인의 흔틀림 제어에 관한 연구,' 제어. 지동화. 시스템공학 논문지, 제 7 권, 제 7 호 pp. 559-566, 2001. 7
  11. H. Lee, Y. Liang, and D. Segura, 'A sliding-mode antiswing trajectory control for overhead cranes with high-speed load hoisting,' Trans. of ASME, vol. 128,pp. 842-845, Dec. 2006
  12. H. Lee, Y. Liang, and D. Segura, 'A new approach for the antiswingcontrol of overhead craneswithhigh-speed loadHoisting,' International Journal of Control, vol. 76, no. 15,pp. 1493-1499, 2003 https://doi.org/10.1080/00207170310001604954
  13. 정경채, 홍진철 외, '천정 크레인의 진동 저감을 위한 퍼 지제어기 및 제어기 개발용 시률레이터 설계에 관한 연 구,' 제어. 자동화. 시스템공학 논문지, 제 2 권, 제 2 호, pp. 96-101,1996.6
  14. 정승현, 박정일, '퍼지제어기를 이용한 크레인의 진동억 제 및 위치제어,' 제어. 자동화. 시스템공학 논문지, 제 3 권. 제 5 호. pp. 96- 101, 1997. 10
  15. J. Yi, N. Yubazaki, and K. Hirota, 'Anti-swing and positioning control of overhead traveling crane,' Information Science: an International Journal, vol. 155,no. 1-2,pp. 19-42, 2003 https://doi.org/10.1016/S0020-0255(03)00127-0
  16. H. Lee, 'Motionplanning for three-dimensional overhead cranes with high-speed load hoisting,' International Journal of Control, vol.78,no. 12,pp. 875-886, Aug. 2005 https://doi.org/10.1080/00207170500197571
  17. H. Khalil, Nonlinear Systems, Prentice Hall, 3rd edition, 2002
  18. C. Chang and G Huang, 'Fuzzy based variable structure control of the 3D crane system,' Proc. Automatic Control Conference, pp. 1214-1219, Nov. 2006
  19. 박한, 좌동경, 홍금식, '컨테이너 크레인의 되먹임 선형화 제어' 한국해양공학회지, 제 19 권, 제 5 호 pp 58-64, 2005
  20. M. Hojatiand S. Gazor, 'Hybridadaptive fuzzy identification and control of nonlinear systems,' IEEE Trans. on Fuzzy Systems, vol. 10,no. 2, pp. 198-210, Apr.2002 https://doi.org/10.1109/91.995121
  21. Y. Gao and M. Er, 'Online adaptive fuzzy neural identification and control of a classof MIMO nonlinear systems,' IEEE Trans. on Fuzzy Systems, vol. 11, no.4, pp.462-477, Aug. 2003 https://doi.org/10.1109/TFUZZ.2003.814833
  22. E. Kim, 'A fuzzy disturbance observer and its application to control,' IEEE Trans. on Fuzzy Systems, vol. 10,no. 1,pp. 77-84, Feb. 2002 https://doi.org/10.1109/91.983280
  23. L. Wang, A Coursein Fuzzy Systems and Control, Prentice Hall, 1997
  24. H. Omar and A. Nayfeh, 'Anti-swing control of gantryandtower cranes using fuzzy and time-delayed feedback with fiiction compensation,' Shockand Vibration, vol. 12.pp. 73-89, 2005 https://doi.org/10.1155/2005/890127