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

대한전자공학회 (The Institute of Electronics and Information Engineers)
권호 표지

개선된 모델 축소 방법에 의한 범용적 제어기 설계

Design of Generalized Controller by Improved Model Reduction

  • 조준호 (원광대학교 제어계측공학과) ;
  • 황형수 (원광대학교 전기전자및정보공학부)
  • Cho, Joon-Ho (Department of Control and Instrumentation Engineering, Wonkwang University) ;
  • Hwang, Hyung-Su (School of Electrical, Electronics and Information Engineering, Wonkwang University)
  • 발행 : 2007.09.25
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초록

본 논문은 개선된 모델 축소 알고리즘을 이용하여 범용적 제어기 설계에 대해서 제안했다. 개선된 모델 축소 알고리즘은 모델의 과도상태와 정상상태 응답을 고려하여 주파수 영역에서 구하였다. 범용적 제어기 설계는 위상여유와 등 제동의 특성을 만족하는 PID 제어기와 2차 지연 모델에 대하여 촤적화 PID 제어기 설계에 대해서 제안 하였다. 시뮬레이션을 통하여 다양한 공정에 대하여 본 논문에서 제안한 방법을 적용하여, 모델축소 방법의 정확성 및 제어기 성능의 개선을 보였다.

In this paper, we proposed development of improved model reduction and design of common controller using reduction model. The Algorithm of improved model reduction considered the transient response and the steady-state response in response curve. The generalized controller is designed not only to ensure specified phase margin and iso-damping property also optimized smith-predictor controller about real model using reduction model. Simulation examples are given to show the better performance of the proposed method than convention methods.

키워드

참고문헌

  1. Franklin, G. F., J. D Powell. and A, E, Baeini., 'Feedback control of Dynmic Systems' Addison-Wesley, Reading, Ma 1986
  2. Ogata, K , 'Moden Control Engineering, 2nd. Prentice-Hall', Englewood Cliffs, Nj,1990
  3. Astrpm, K.J. and C.C. Hang and P. Persson, 'Towards intelligent PID control', Automatica, 28, 1-9, 1991
  4. Astrom, K.J. and C.C. Hang., 'Automatic Tuning of PID Controller', instrument Society of America. 1988
  5. M.Zhuang and D.P.Atherton, 'Automatic tuning of optimum PID controllers', Proc. Inst. Elect. Eng., vol. 140, pt. D, no. 3, pp. 216-224, May 1993
  6. K.J.Astrom and T.Hagglund, 'Automatic tuning of simple regulators with specifications on phase and amplitude margins', Automatica, vol. 20, no. 5, pp. 645-651, 1984 https://doi.org/10.1016/0005-1098(84)90014-1
  7. W.K.Ho, C.C.Hang, W.Wojsznis, and Q.H.Tao, 'Frequency domain approach to self-tuning PID control', Contr.Eng. Practice, vol, 4, no.6, pp.807-813, 1996 https://doi.org/10.1016/0967-0661(96)00071-8
  8. W.K.Ho, O.P.Gan, E.B.Tay, and E.L.Ang, 'Performance and gain and phase margins of well-known PID tuning formulas', IEEE Trans. Contr. Syst. Technol., vol. 4, pp. 473-477, 1996 https://doi.org/10.1109/87.508897
  9. W.K.Ho, C.C.Hang, and L.S.Cao, 'Tuning of PID controllers based on gain and phase margin specifications', Automatica, vol. 31, no. 3, pp. 497-502, 1995 https://doi.org/10.1016/0005-1098(94)00130-B
  10. W.K.Ho, T.H.Lee, H.P.Han, and Y.Hong, 'Self-Tuning IMC-PID Control with Interval Gain and Phase Margins Assignment', IEEE Trans. Contro. Syst. Technol, vol. 9, no.3 , may 2001, pp.535-541 https://doi.org/10.1109/87.918905
  11. Y.Shamash, 'Model reduction using the Routh stability criterion and the Pade approximation technique', Int. J. Control, vol. 21, No. 3, pp. 475-484, 1975 https://doi.org/10.1080/00207177508922004
  12. K.Y.Kong, S.C.Goh, C.Y.Ng, H.K.Loo, K.L.Ng, W.L. Cheong, and S.E.Ng, 'Feasibility report on frequency domain adaptive controller', Dept. Elect. Eng., Nat. Univ. Singapore, Internal Rep., 1995
  13. Q.G.Wang, T.H.Lee, H.W.Fung, Q.Bi and Y. Zhang, 'PID tuning for improved performance', IEEE Trans. Contro. Syst. Technol., vol. 7, no.4, pp. 457-465, July 1999 https://doi.org/10.1109/87.772161
  14. Qing-Guo Wang, Chang-Chieh Hang, and Qiang Bi, 'A Technique for Frequency Response Identification from Relay Feedback', IEEE Trans. Contro. Syst. Technol., vol.7, no1, January 1999, pp.122-128 https://doi.org/10.1109/87.736766
  15. Y.Shamash, 'Model reduction using the Routh stability criterion and the Pade approximation technique', Int. J. Control, vol. 21, No. 3, pp. 475-484, 1975 https://doi.org/10.1080/00207177508922004
  16. Jeoungnae Choi, Joonho Cho, Wonjyok Lee, Hyungsoo Hwang, 'Model Reduction Method and Optimized Smith Predictor Controller Design using Reduced Model', Trans. KIEE, Vol. 52D, No. 11, NOV. 2003, pp. 619-625
  17. 조준호, 김정철, 김진권, 최정내, 황형수, 'Model Reduction Algorithm Using Nyquist Curve in Frequency Domain', Journal of Control, Automation and System Engineering, Vol. 8, No.6, June, 2002, pp. 439-444 https://doi.org/10.5302/J.ICROS.2002.8.6.439
  18. 최정내, 조준호, 황형수, 'Smith-Predictor Controller Design Using New Reduction Model', Trans. KIEE, Vol. 52D, No. 1, JAN. 2003 pp. 9-15
  19. 최정내, 조준호, 이원혁, 황형수, 'Model Reduction Method and Optimized Smith Predictor Controller Design using Reduced Model', Trans. KIEE, Vol. 52D, No. 11, NOV. 2003, pp. 619-625
  20. 조준호 '다양한 성능만족을 위한 계층적 제어기 설계', 대한전기학회논문지, 제 56권, 제 2호 pp. 396-406, 2007.2
  21. A. Karimi, D. Garcia, and R.Longchamp, 'PID controller design using Bode's integrals', in Proc. American Control Conf., Anchorage, AK, 2002, pp. 5007-5012
  22. YangQuan Chen, Kevin L. Moore. 'Relay Feedback Tuning of Robust PID Controllers With Iso-Damping Property.' IEEE Transactions on systems, man, and Cybernetics., part B, Vol, 35. N0. 1, Feb 2005, pp 23-31 https://doi.org/10.1109/TSMCB.2004.837950