표준 모델의 2자유도 위너-호프 제어기 설계

Wiener-Hopf Design of the Two-Degree-of-Freedom Controller for the Standard Model

  • 조용석 (건양대 정보전자통신공학부) ;
  • 최군호 ((주)한미 기술연구소) ;
  • 박기헌 (성균관대 전기전자 및 컴퓨터공학부)
  • 발행 : 2000.03.01

초록

In this paper, Wiener-Hopf design of the two-degree-of-freedom(2DOF) controller configuration is treated for the standard plant model. It is shown that the 2DOF structure makes it possible to treat the design of feedback properties and reference tracking problem separately. Wiener-Hopf factorization technique is used to obtain the optimal controller which minimizes a given quadratic cost index. The class of all stabilizing controllers that yield finite cost index is also characterized. An illustrative example is given for the step reference tracking problem which can not be treated by the conventional H2 controller formula.

키워드

참고문헌

  1. K. Park and J.J. Bongiorno, 'A general theory for the Wiener-Hopf design of multivariable control systems,' IEEE Trans. on Automatic Control, Vol. 34, pp. 619-626. 1989 https://doi.org/10.1109/9.24230
  2. J. C. Doyle, K. Glover, P. P. Khargonekar and B. A. Francis, 'State space solutions to standard H₂and $H_{\infty}$ control problems,' IEEE Trans. on Automatic Control, Vol. 34, pp. 831-847, 1989 https://doi.org/10.1109/9.29425
  3. D. C. Youla and J. J. Bongiorno, 'A Feedback theory of two-degree-of-freedom optimal Wiener-Hopf design,' IEEE Trans. on Automatic Control, Vol. 30, pp. 652-665, 1985 https://doi.org/10.1109/TAC.1985.1104023
  4. K. Park and J. J. Bongiorno, 'Wiener- Hopf design of servo regulator-type multi variable control systems including feedforward compensation,' International Journal of Control, Vol. 52, pp. 1189-1216, 1990 https://doi.org/10.1080/00207179008953590
  5. H. P. Lee and J. J. Bongiorno, Jr., 'Wiener-Hopf design of optimal decoupled multi variable feedback control systems,' IEEE Trans. on Automatic Control, Vol. 38, No. 12, pp. 1838-1843, Dec, 1993 https://doi.org/10.1109/9.250562
  6. G.O. Correa, and M.A. Da Silveira, 'On the Design of Servomechanisms Via $H_2$-Optimization,' Int. J. Control, Vol. 61, pp. 475-491, 1995 https://doi.org/10.1080/00207179508921912
  7. S. Hara, and T. Suge, 'Independent Parameterization of Two-Degree-of-Freedom Compensators in General Robust Tracking Systems,' IEEE. Trans. on Automatic Control, Vol. 33, pp. 59-67, 1988 https://doi.org/10.1109/9.361
  8. D. C. Youla, H. Jabr and J. J. Bongiorno, 'Modem Wiener-Hopf design of optimal controllers part IT : the multi variable case,' IEEE Trans. on Automatic Control, Vol. 21, pp. 319-338, 1976 https://doi.org/10.1109/TAC.1976.1101223
  9. 조용석, 표준모델의 2자유도 위너-호프 제어기 설계에 관한 연구, 성균관대학교 공학박사 학위논문, 1997
  10. C.N. Nett, 'Algebraic aspects of linear control system stability,' IEEE Trans. on Automatic Control, Vol. 31, pp. 941-949, 1986 https://doi.org/10.1109/TAC.1986.1104137