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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

A Robust Eigenstructure Assignment Method with Application to EMRAAT Missile Control Design

견실성을 고려한 고유구조 지정기법 및 EMRAAT 미사일 제어에의 응용

  • Kim, Joo-Ho (Busan National University) ;
  • Park, Jae-Weon (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University)
  • 김주호 (부산대학교 기계공학부) ;
  • 최재원 (부산대학교 기계공학부 및 기계기술연구소)
  • Published : 2000.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce a relationship between the sensitivity and the robustness of a system, and we propose a robust eigenstructure assignment scheme using a novel performance index which can consider the performance and the robustness of the system simultaneously. We also propose an assignment accuracy measure and a robustness measure which are used for the performance examination of the proposed robust eigenstructure assignment scheme. The usefulness of the proposed algorithm and the measures are verified by applying to controller design of a simple numerical example and the EMRAAT missile.

Keywords

References

  1. A. N. Andry, E. Y. Shapiro, and J. C. Chung, 'Eigenstructure assignment for linear systems', IEEE Transactions on Aerospace and Electronic Systems, vol. 19, no. 5, pp. 711-729, 1983 https://doi.org/10.1109/TAES.1983.309373
  2. 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
  3. 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, 1998 https://doi.org/10.1109/7.670342
  4. J. W. Choi, 'Left eigenstructure assignment via sylvester equation', KSME International Journal, vol 12, no. 6, pp. 1034-1040, 1998
  5. V. Gourishankar and K. Ramar, 'Pole assignment with minimum eigenvalue sensitivity to plant parameter variations', International Journal of Control, vol. 23, no. 4, pp. 493-504, 1976 https://doi.org/10.1080/00207177608922175
  6. P. R. Apkarian, 'Structured stability robustness improvement by eigenspace techniques: A hybrid methodology', Journal of Guidance, Control, and Dynamics, vol. 12, no. 2, pp. 162-168, 1989
  7. J. W. Choi and Y. B. Sea, 'LQR design with eigenstructure assignment capability', IEEE Transactions on Aerospace and Electronic Systems, vol. 35, no. 2, pp, 700-708, 1999 https://doi.org/10.1109/7.766949
  8. R. F. Wilson, J. R. Cloutier, and R K. Yedavalli, 'Control design for robust eigenstructure assignment in linear uncertain systems', IEEE Control Systems Magazine, vol. 12, no. 5, pp. 29-34, 1992 https://doi.org/10.1109/37.158895
  9. W. Yu, J. E. Piau, and K. M. Sobel, 'Robust eigenstructure assignment for the extended medium range air-to-air missile', Automatica, vol, 29, no. 4, pp. 889-898, 1993 https://doi.org/10.1016/0005-1098(93)90094-A
  10. J. L. Junkins and Y. Kim, Introduction to Dynamics and Control of Flexible Structures, AIM Education Series, 1993
  11. B. C. Moore, 'On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment', IEEE Transactions on Automatic Control, vol, 21, pp. 689-692, 1976 https://doi.org/10.1109/TAC.1976.1101355