Target Polynomial Design for Interval Plant Using Lipatov Theorem and CDM

CDM과 리파토프 정리를 이용한 구간 플랜트의 목적다항식 설계

  • Published : 2001.01.01

Abstract

For a parametric uncertain system, there are many results on stability analysis, but only a few synthesis methods. In this paper, we proposed a new target polynomial decision method for the parametric uncertain system to stabilize the closed loop system with maximal parametric $l_2$ stability margin. To this, we used both Lipatov Theorem and coefficient diagram method(CDM). To show the effectiveness of the proposed method, we designed a robust controller for the inverted pendulum system with parametric uncertainties using fixed order pole assignment(FOPA) method and its performance was compared with that of the ${\mu}$ synthesis methods.

Keywords

References

  1. L.H Keel, S.P Bhattachaya, 'Robust, Fragile, or Optimal', IEEE Trans. Automatic Control, Vol42, p1098-1105 1997 https://doi.org/10.1109/9.618239
  2. L.H Keel, S.P Bhattachayya, 'Stability Margin and Digital Implementation of Controllers', Proceedings of the ACC June 1998 p2852-2856 https://doi.org/10.1109/ACC.1998.688377
  3. S.S Ahmad, J.S Lew, and L.H. Keel, 'Robust Control of Flexible structures against structural Damage' Proc. of the ACC, p2460-2464, June 1998
  4. L.H.Keel, S.P.Battacharyya 'Robust stability and performance with fixed-order controller' Automatica 35(1999) 1717-1724 https://doi.org/10.1016/S0005-1098(99)00080-1
  5. S.P Bhattachayya, H.Chapellat, L.H. Keel 'Robust Control: The Parametric Approach. Upper Saddle River, NJ:Prentice Hall, 1995
  6. S.P Bhattachayya, L.H. Keel, M. Ikeda 'New Approach to feedback Design' International Workshop 충북대학교, July 1999
  7. S. Manabe, 'Coefficient Diagram Method', 14th IFAC Symposium on Automatic Control in Aerospace, p199-210, Aug 1998
  8. 차영호, 정태진, 원용규, 정찬수, '도립진자 시스템에서의 제어기 안정도 향상' Proceedings of the 14th KACC, Oct 14-16 1999
  9. 주성준, 박영배, '리파토프 정리를 이용한 강인한 제어기 설계', Proceedings of the 13th KACC, Oct 1999
  10. 이진규, 차영호, 정태진, 박용식, 정찬수 '리파토프 정리를 이용한 구간 플랜트의 제어기 설계' 대한 전기학회 추계학술대회 479-481, 1999