Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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A Spillover Suppression Method in a Flexible Structure Using Eigenstructure Assignment

고유구조지정법을 이용한 유연구조물의 스필오버 억제방법

  • Park, Jae-Weon (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University) ;
  • Park, Un-Sik (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University)
  • 최재원 (부산대학교 기계공학부 및 기계기술연구소) ;
  • 박운식 (부산대학교 기계공학부 및 기계기술연구소)
  • Published : 2000.11.01
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Abstract

Although large space structures(LSS) such as a space station, a solar power station satellite, etc., are theoretically distributed parameter and infinite-dimensional systems, they have to be modeled into a lumped parameter and large finite-dimensional system for control system design. Besides, there remains the fundamental problem that the modeled large finite-dimensional system must be controled with a much smaller dimensional controller due to the limitation of computing resources. This causes the spillover phenomenon which degrades control performances and reduces the stability margin. Furthermore, it may destabilize the entire feedback control system. In this paper, we propose a novel spillover suppression method in the active vibration control of large flexible structures by using eigenstructure assignment. Its validity and effectiveness are investigated and verified by the numerical experiments using a simply supported flexible beam, which is modeled to have four controlled modes and eight uncontrolled modes.

Keywords

References

  1. M. J. Balas, 'Trends in large space structure Control theory: Fondest hopes, wildest dreams,' IEEE Transactions on Automatic Control, vol. AC-27, no. 3, pp. 522-535, June, 1982
  2. G. S. Nurre, R. S. Ryan, H. N. Scofield, and J. L. Sims, 'Dynamics and control of large space structures,' Journal of Guidance, Control, and Dynamics, vol. 7, no. 5, pp. 514-526, 1984
  3. Y. Yam, T. L. Johnson, and J. H. Lang, 'Flexible system model reduction and control system design based upon actuator and sensor influence functions,' IEEE Transactions on Automatic Control, vol. AC-32, no. 7, pp. 573-582, July, 1987
  4. D. C. Hyland, J. L. Junkins, and R. W. Longman, 'Active control technology for large space structures,' Journal of Guidance, Control, and Dynamics, vol. 16, no. 5, pp. 801-821, 1993
  5. M. J. Balas, 'Active control of flexible systems,' Journal of Optimization Theory and Applications, vol. 25, no. 3, pp. 415-435, 1978 https://doi.org/10.1007/BF00932903
  6. M. J. Balas, 'Feedback control of flexible systems,' IEEE Transactions on Automatic Control, vol. AC-23, no. 4, pp. 673-679, 1978
  7. L. Meirovitch and H. Baruh, 'On the problem of observation spillover in self-adjoint distributed-parameter systems,' Journal of Optimization Theory and Applications, vol. 39, no. 2, pp. 269-291, February, 1983 https://doi.org/10.1007/BF00934533
  8. L. Meirovitch and H. Oz, 'Modal space control of distributed gyroscopic systems,' Journal of Guidance, Control, and Dynamics, vol. 3, no. 2, pp. 157-163, March, 1980
  9. L. Meirovitch, Dynamics and Control of Structures, John Wiley & Sons, Inc., 1990
  10. J. L. Fanson and T. K. Caughey, 'Positive position feedback control for large space structure,' AIAA Paper 87-0902, pp. 588-598, 1987
  11. J. R. Sesak, P. W. Likins, and T. Coradetti, 'Flexible spacecraft control by model error sensitivity suppression,' Journal of the Astronautical Sciences, no. 27, no. 2, pp. 131-156, 1979
  12. J. N. Aubrun, 'Theory of the control of structures by low-authority controllers,' Journal of Guidance, Control, and Dynamics, vol. 3, no. 5, pp. 444-451, 1980
  13. N. K. Gupta, 'Frequency-shaped cost functional: extension of linear quadratic-gaussian-design methods,' Journal of Guidance, Control, and Dynamics, vol. 3, no. 6, pp. 529-535, 1980
  14. C. T. Chen, Linear System Theory and Design, Holt, Reiehart, and Winston, New York, 1979 York
  15. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, N. J., 1980
  16. J. W. Choi, J. G. Lee, Y. Kim, and T. Kang, 'Design of an effective controller via disturbance accommodating left eigenstructure assignment,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 2, pp. 347-354, 1995
  17. J. W. Choi, 'A simultaneous assignment methodology of right/left eigenstructures,' IEEE Transactions on Aerospace and Electronic Systems, vol. 34, no. 2, pp. 625-634, April, 1998 https://doi.org/10.1109/7.670342
  18. A. N. Andry, Jr., E. Y. Shapiro, and J. C. Chung, 'Eigenstructure assignment for linear systems,' IEEE Transactions on Aerospace and Electronic Systems, vol. AES-19, no. 5, pp. 711-729, September, 1983 https://doi.org/10.1109/TAES.1983.309373
  19. J. L. Junkins and Y. Kim, Introduction to Dynamics and Control of Flexible Structures, AIAA Education Series, Washington D. C., American Institute of Aeronautics and Astronautics, Inc., 1993