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Robust Slewing Control of A Flexible Space Structure using Sliding Surface

슬라이딩 평면을 이용한 유연우주비행체의 강인 선회제어

  • Published : 2003.03.01

Abstract

This paper presents a robust slewing control of a flexible space structure based on sliding surface design. A sliding surface is designed for a single-axis rest-to-rest slewing in view of target angle, target angular velocity, and root monent of the flexible appendage. In comparison with the Lypunov control law, both controllers guarantee the stability and command tracking capabilities for nominal system. It is also shown that the designed control law provides further robustness to internal/external uncertainties. Extending the results of a single-axis maneuver, a sliding mode control law was sought for an arbitrary three-axis maneuver. Quaternion was used to determine the attitude of a space structure and sliding surfaces were designed for each axis, thereby a robust control law was derived considering the coupling effects between each rotational axis during the maneuver. Several numerical examples were demonstrated to show the effectiveness of the designed control law.

본 논문에서는 유연우주비행체의 강인 선회기동을 위한 슬라이딩 모드 제어기법에 대해 연구하였다. 본 연구에서는 유연우주비행체의 1축 선회기동을 위한 선회목표각, 목표각속도 및 중앙동체와 유연부착물 사이에 작용하는 내부 반력 모멘트를 포함하는 슬라이딩 평면을 설계하였다. Lyapunov 제어기법과 비교한 결과 두 제어기법 모두 공칭 시스템에 대한 명령 추종성을 확인하였으며, 특히 슬라이딩 모드 제어기법의 적용결과 시스템 파라메터의 변동 및 외란의 영향에도 좋은 제어결과를 얻을 수 있음을 확인하였다. 1축 선회제어 결과를 확장하여 임의의 3축 선회기동을 수행할 수 있는 슬라이딩 모드 제어기를 설계하였다. 3축 선회기동 제어를 위해 쿼터니언을 이용하여 비행체의 자세를 결정하였고, 3개의 축 각각에 대해 설계된 슬라이딩 평면으로부터 선회기동시 발생하는 각 축간의 커플링 효과를 고려하여 제어기를 설계하였다. 설계된 제어기는 효과적인 3축 선회기동을 수행할 수 있음을 수치 시뮬레이션을 통해 보여주고 있다.

Keywords

References

  1. Singh, G., Kabamba, P.T., and McClamroch, N.H., "Planar Time Optimal, Rest-to-Rest Slewing Maneuver of Flexible Spacecraft," Journal of Guidance, Control, and Dynamics, Vol. 12, No. 1, 1989, pp. 71-81. https://doi.org/10.2514/3.20370
  2. Liu, Q., and Wie, B., "Robust Time-OptimalControl of Uncertain Flexible Spacecraft," Journal of Guidance, Control, and Dynamics, Vol. 15, No.3, 1992, pp. 597-604. https://doi.org/10.2514/3.20880
  3. Junkins, J.L., Rahman, Z., Bang, H., and Hecht, N., "Near-Minimum-Time Control of Distributed Parameter Systems: Analytical and Experimental Results," Journal of Guidance Control, and Dynamics, Vol. 14, No. 2, 1991, pp. 406-415. https://doi.org/10.2514/3.20653
  4. J. Suk, J.Y. Moon, and Y. Kim, "Torque Shaping using Trigonometric Series Expansion for Slewing of Flexible Structures," Journal of Guidance, Control, and Dynamics, Vo1.21, No.5, 1998, pp .698-703. https://doi.org/10.2514/2.4314
  5. 정동원, 김성필, 김유단, "입력형상화기법을 이용한 유연우주비행체의 선회기동 및 진동제어," 한국항공우주학회지, 제29권, 제7호, 2000, pp. 87-94.
  6. 방효충, 탁민제, 김진형, "추력기를 이용한 유연 우주비행체의 자세제어," 한국항공우주학회지, 제29권, 제4호, 2001, pp.93-100.
  7. Qian, W.T., Ma, C,C.H., "A New Controller Design for a Flexible One-Link Manipulator," IEEE Transactions on Automatic Control, Vol. 37, No.1, 1992, pp . 132-137.
  8. 김성필, 김유단, "작동기 수가 부족한 대칭 위성체의 슬라이딩 모드 추종제어기법," 한국항공우주학회지, 제28권, 제2호, 2000, pp. 118-129.
  9. M. Cokasan, O. S. Bogosyan, A. Arabyan, and A Sabanovic, "A Siliding Mode Based Controller for a Flexible Arm with a Load," Proceedings of IECON, 1998, pp .1083-1087.
  10. Matthew Allen, Franco Bernelli-Zazzera and Riccardo Scattolini, "Sliding mode control of a large flexible space structure," Control Engineering Practice 8, 2000, pp. 861-871. https://doi.org/10.1016/S0967-0661(00)00004-6
  11. 천이진, "쿼터니언을 이용한 위성자세 추적문제의 가변구조제어," 2000년도 한국한공우주학회 춘계학술발표회 논문집, 2000, pp.211-214.
  12. Emelyanov, S.V., "Variable Structure Contol Systems," Nauka (in Russian), Moscow, 1967.
  13. Utkin, V.I., "Sliding Modes and Their Application in Variable Structure Systems," Mir, Moscow, 1978.
  14. Hung, J.Y.,. Gao W., and Hung, J.C., "Variable Structure Control : A Survey," IEEE Transactions on Industrial Electronics, Vol. 40, No.1, Feb. 1993, pp. 2-21. https://doi.org/10.1109/41.184817
  15. Utkin, V.I., "Sliding Mode Control Design Principles and Applicaitons to Electric Drives," IEEE Transactions on Industrial Electronics, Vol. 40, No.1, 1993, pp. 23-36. https://doi.org/10.1109/41.184818
  16. Drakunov, S.V., and Utkin , V.l., "Sliding mode control in dynamic systems," International Journal of Control, Vol. 55, No.4, 1992, pp. 1029-1037. https://doi.org/10.1080/00207179208934270
  17. Bailey, E., and Arapostathis, A., "Simple sliding mode control scheme applied to robot manipulators," International Journal of Control, Vol. 45, No.4, 1987, pp. 1197-1209. https://doi.org/10.1080/00207178708933801
  18. Sabanovic, A, and Izosimov, D. B., "Application of sliding modes to induction motor control," IEEE Trans. Industry Applications, Vol. IA-17, No.1, 1981, pp. 41-49. https://doi.org/10.1109/TIA.1981.4503896
  19. Hedrick, J.K., and Gopalswamy, S., "Nonlinear flight control design via sliding methods," Journal of Guidance, Control, and Dynamics, Vol. 13, No.5, 1990, pp. 850-858. https://doi.org/10.2514/3.25411
  20. Dwyer III T.A.W., and Sira-Rrnirez, H., "Variable structure control of spacecraft attitude maneuvers," Journal of Guidance, Control, and Dynamics, Vol. 11, No.3, 1988, pp. 262-270. https://doi.org/10.2514/3.20303
  21. Oz, H., and Mostofa, O ., "Variable structure control system(VSCS) maneuvering of flexible spacecraft," Proceedings of AIAA Guidance, Navigation and Control Conference., Williamsburg, VA, 1986, p. 635.
  22. J-J. E. Slotine, and W. Li, Applied Nonlinear control, Prentice-Hall International, Inc., 1991.
  23. J. Suk, Y. Kim, and H. Bang, "Experimental Evaluation of the Torque Shaping Mehod for Slew Maneuver of Flexible Space Structures," Journal of Guidance, Control, and Dynamics, Vo1.21, No.6, 1998, pp.817-822. https://doi.org/10.2514/2.4320

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