Journal of the Institute of Electronics Engineers of Korea SC (전자공학회논문지SC)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Design of Robust Controller for Non-minimum Phase System with Parametric Uncertainty using QFT

QFT를 이용한 파라미터 불확실성을 갖는 비최소위상 제어시스템의 강인한 제어기 설계

  • Kim, Young-Chol (School of Electrical and Electronics Engineering, Chungbuk Nat'l Univ.) ;
  • Kim, Shin-Ku (Hyundai Motors, Ulsan Research Institute) ;
  • Cho, Tae-Shin (School of Electrical and Electronics Engineering, Chungbuk Nat'l Univ.) ;
  • Choi, Sun-Wook (School of Electrical and Electronics Engineering, Chungbuk Nat'l Univ.) ;
  • Kim, Keun-Sik (Daecheon College, Computer, Electronic and Electric Engineering)
  • 김영철 (충북대학교 전기전자공학부) ;
  • 김신구 (현대 자동차 울산연구소) ;
  • 조태신 (충북대학교 전기전자공학부) ;
  • 최선욱 (충북대학교 전기전자공학부) ;
  • 김근식 (대천대학 컴퓨터전자전기계열)
  • Published : 2001.06.30
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Abstract

We consider the robust control problem for non-minimum phase(NMP) systems with parametric uncertainty. First, a new method that translates such an uncertain NMP system into a interval family of minimum phase(MP) transfer functions followed a time delay term in the form of Pade' approximation is presented. The controller to be proposed consists of a compensator with Smith predictor structure, so that it can compensate the time delay behaviour due to NMP plant. Therein, the main feedback controller for a family of MP plants has been designed by using quantitative feedback theory(QFT) such that satisfies the robust stability against the structured uncertainty. The stability and performance of overall system are examined through an illustrative example.

본 논문은 파라미터 불확실성을 갖는 비최소위상 시스템의 강인제어 문제를 고려한다. 먼저 불확실성을 갖는 비최소위상 시스템을 구간 최소위상 전달함수군과 Pade'근사화 형태로 시간지연 성분으로 변환하는 새로운 방법을 제시한다. 제안하게 될 제어기는 비최소위상 플랜트로 인한 시간지연 거동을 보상할 수 있도록 Smith 예측기 구조를 갖는 보상기로 구성된다. 최소위상 플랜트군의 피드백 제어기는 구조적 불확실성에 대해 주파수 영역의 설계사양의 강인 안정도를 만족하도록 QFT를 이용하여 설계되었다. 전체 시스템의 안정도와 성능은 예제를 통하여 입증한다.

Keywords

References

  1. J. S. Freudenberg and D. P. Looze, Frequency Domain Properties of Scalar and Multivariable Feedback Systems, Springer-Verlag, 1988
  2. I. M. Horowitz, Synthesis of Feedback Systems, Academic Press, 1963
  3. H. Elliot, 'Direct adaptive pole placement with application to nonminimum phase system,' IEEE Trans. Automatic control, vol. AC-27, no.6, pp.720-722, 1982
  4. K. Ohkubo, H. Ohmori and A. Sano, 'Adaptive control for partial model matching in frequency domain for non-minimum phase systems,' IFAC Adaptive Systems in Control and Signal Processing, pp. 205-210, 1989
  5. 구세완, 권혁성, 오원근, 서병설, '비최소 위상플랜트의 최소 위상플랜트로의 균형 모델 저차화,' Proc. of KACC, pp. 1205-1208, 1996
  6. I. M. Horowitz, Quantitative feedback design Theory, Vol. 1, QFT Publication, 1992
  7. I. M Horwitz and M. Sidi, 'Optimum Synthesis of non-minimum phase feedback system with plant uncertainty,' Int. J. Control, vol. 27, pp, 361-386, 1978 https://doi.org/10.1080/00207177808922376
  8. M. Morari and E. Zafriou, Robust Process Control, Prentice Hall, 1989
  9. J. E. Marshall, Control of time-delay systems, Institution of Electrical Engineers, 1979
  10. W. Levine, The Control Handbook, CRC Press, pp, 215-231, 1996
  11. H. Chapellat and S. P. Bhattacharyya, 'A generalization of Kharitonov's theorem : Robust stability of interval plant,' IEEE Trans. Automatic Control, vol. AC-34, pp. 306-311, 1989 https://doi.org/10.1109/9.16420
  12. S. P. Bhattacharyya, H. Chapellat and L. H. Keel, Robust Control : The Parametric Approach, Prentice-Hall, 1995
  13. S. M. Bazaraa and J. J. Jarvis, Linear programming and Network Flows, John Wiley & Sons, 1977
  14. T. Mita and H. Yoshida, 'Udershooting Phenomenon and its Control in Linear Mullivariable Servomechanisms,' IEEE Trans. Automatic Control, vol. AC-26, no. 2, pp. 402-407, 1981 https://doi.org/10.1109/TAC.1981.1102601
  15. C. H. Houpis and S. J. Rasmussen, Quantitative Feedback Theory, Marcel Dekker Inc., 1999
  16. C. Borghesani, Y. Chait, and O. Yaniv, Quantitative Feedback Theory Toolbox For use with MATLAB, The MathWorks Inc., 1994