유연 고유구조 지정기법 : 최적화 접근법

Flexible Eigenstructure Assignment : An Optimization Approach

  • 최재원 (부산대학교 기계공학부 및 기계기술연구소) ;
  • 김신종 (부산대학교 기계공학부 및 기계기술연구소) ;
  • 서영봉 (부산대학교 기계공학부 및 기계기술연구소)
  • Choe, Jae-Won (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University) ;
  • Kim, Sin-Jong (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University) ;
  • Seo, Yeong-Bong (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University)
  • 발행 : 2001.08.01

초록

Eigenstructure assignment is a typical method with the capability of consideration of the time-domain specifications in designing a linear control system. In this paper, we propose a new method for eigenstructure to achieve desired eigenvectors more precisely than with the conventional method. In the proposed method, the conventional eigenstructure assignment problem is interpreted as a constrained optimization one, and it converted into an unconstrained optimization problem to deal with the problem easily. Numerical examples are presented to illustrate the proposed flexible eigenstructure assignment method.

키워드

참고문헌

  1. Wonham, W. M., 'On pole assignment in multi-input, controllable linear systems,' IEEE Transactions on Automatic Control, vol. 12, pp. 660-665, 1967 https://doi.org/10.1109/TAC.1967.1098739
  2. Moore, B. C., 'On the flexibility offered by state feedback in multivariable systems beyond closed-loop eigenvalue assignment,' IEEE Transactions on Automatic Control, vol. 21, no. 6, pp. 689-692, 1976
  3. Choi, J. W., ' A simultaneous assignment methodology of right/left rigenstructures,' IEEE Transactions on Aerospace and Electronic Systems, vol. 34, no. 2, pp. 625-634, April, 1998 https://doi.org/10.1109/7.670342
  4. Sobel, K. M., Yu, W. and Lallman, F. J., 'Eigenstructure assignment with gain suppression using elgenvalue and eigenvector derivatives,' Journal of Guidance, Control, and Dynamics, vol. 13, no. 6, pp. 1008-1013, Nov.-Dec., 1990
  5. Garrard, W. L. and Liebst, B. S., 'Active flutter suppression using eigenspace and linear quadratic design techniques,' Journal of Guidance, Control, and Dynamics, vol. 8, no. 3, pp. 304-311, May-June, 1985
  6. Garrard, W. L. and Liebst, B. S., 'Design of a multivariable helicopter flight control system for handling qualities enhancement,' Journal of American Helicopter Society, vol. 35, pp. 23-30, Oct., 1990
  7. Sobel, K. M. and Shapiro, E. Y., 'A design methodology for pitch pointing flight control systems,' Journal of Guidance, Control, and Dynamics, vol. 8, no. 2, pp. 181-187, Jan.-Feb., 1985
  8. Choi, J. W., Lee, J. G., Kim, Y. and Kang, T., 'Design of an Effective Controller via Disturbance Accommodating Left Eigenstructure Assignment,' Journal of Guidance, Control, and Dynamics, vol. 18, no. 2, pp. 347-354, March-April, 1995
  9. Siouris, G.M., Lee, J. G. and Choi, J. W., 'Design of a modern pitch pointing control system,' Aerospace and Electronic Systems, IEEE Transactions on, vol. 31, no. 2, pp. 730-738, April, 1995 https://doi.org/10.1109/7.381920
  10. Choi, J. W., Lee, J. G., Suzuki, H. and Suzuki, T., 'Comments on“Matrix Method for Eigenstructure Assignment: The Multi-Input Case with Application,' Journal of Guidance, Control, and Dynamics, vol. 19, vo. 4, pp. 983, July-August, 1996
  11. Choi, J. W. and Seo, Y. B., 'LQR Design with eigenstructure Assignment Capability,' IEEE Transactions on Aerospace and Electronic Systems, vol. 35, no. 2, pp. 700-708, April 1999 https://doi.org/10.1109/7.766949
  12. 최재원, 서영봉, '고유구조 지정기법 : 연구동향과 전망,' 제어.자동화.시스템공학 논문지, 제6권, 제10호, pp. 854-870, 2000, 10
  13. Coleman, T.F. and Y. Li, 'On the Convergence of Reflective Newton. Methods for Large-Scale Nonlinear Minimization Subject to Bounds,' Mathematical programming, vol. 67, no. 2, pp. 189-224, 1994
  14. Fletcher, R., 'Practical methods of optimization', vol. 1, Unconstrained Optimization, John Wiley & Sons, 1980
  15. Choi, J. W. and Seo, Y. B., Eigenstructure Assignment Toolbox For Use with CEMTool, RealGain Ltd., 1999