The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

Model Reduction Method and Optimized Smith Predictor Controller Design using Reduced Model

축소모델을 이용한 최적화된 Smith Predictor 제어기 설계

  • 최정내 (원광대 공대 전기공학과) ;
  • 조준호 (원광대 공대 제어계측공학과) ;
  • 이원혁 (원광대 공대 제어계측공학과) ;
  • 황형수 (원광대 공대 전기전자및정보공학부)
  • Published : 2003.11.01
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Abstract

We proposed an optimum PID controller design method of the Smith Predictor It can be applied to various processes. The real process is approximated via the second order plus time delay model (SOPTD) whose parameters are specified through a model reduction algorithm. We already proposed a new model reduction method that considered four point in the Nyquist curve to reduced the steady state error between the real process model and the reduced model using the gradient decent method and the genetic algorithms. In addition, the Smith predictor is used to compensate time delay of the real process model. In this paper, the new optimum parameter tuning algorithm for PID controller of the Smith Predictor is proposed through ITAE as performance index. The Simulation results show the validity and improvement of performance for various processes.

Keywords

References

  1. 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
  2. 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
  3. W.K.Ho, O.P.Gan, E.B.Tay, 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
  4. M.Zhuang and D.P.Atherton, 'Automatic tuning of optimum PID controllers', Proc. Elect. Eng., vol. 140, pt. D, no. 3, pp 216-224, May 1993 https://doi.org/10.1049/ip-d.1993.0030
  5. K.J.Astrom, 'Automatic tuning of PID regulotors', Instrument Soc. Amer., 1998
  6. W.K.H.o, C.C.Hang, 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
  7. 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
  8. Q.G.Wang, T.H.Lee, H.W.Fung, Q.Bi, 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
  9. 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
  10. Dacid E. Goldberg, 'Genetic Algorithms in Search, Optimization, and Machine Learning', AAddison - Wesley Publishing Company, Inc, 1989
  11. 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
  12. Qing-Guo Wang, Chang-Chieh Hang, and Qiang Bi, 'A Technique for Frequency Response Identification from Reay Feedback', IEEE Trans. Contro. Syst. Technol., vol.7,no1,January 1999, pp.122-128 https://doi.org/10.1109/87.736766
  13. 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
  14. 최정내, 조준호, 황형수, 'Smith-Predictor Controller Desing Using New Reduction Model', Trans. KIEE, Vol. 52D, No. 1, JAN. 2003 pp. 9-15