PID 제어기의 On-Line 퍼지 자동동조

On-Line Fuzzy Auto Tuning for PID Controller

  • Hwang, Hyeong-Su (Dept.of Electrical Electronics Engineering, Wonkwang University) ;
  • Choe, Jeong-Nae (Dept.of Control Instrumentation Engineering, Wonkwang University) ;
  • Lee, Won-Hyeok (Dept.of Control Instrumentation Engineering, Wonkwang University)
  • 발행 : 2000.02.01

초록

In this paper, we proposed a new PID tuning algorithm by the fuzzy set theory to improve the performance of the PID controller. The new tuning algorithm for the PID controller has the initial value of parameter Kc, $\tau$I, $\tau$D by the Ziegler-Nichols formula using the ultimate gain and ultimate period from a relay tuning experiment. We get error and error change of plant output correspond to the initial value and new proportion gain(Kc) and integral time($\tau$I) from fuzzy tunner. This fuzzy tuning algorithm for PID controller considerably reduced overshoot and rise time compare to any other PID controller tuning algorithms. In real parametric uncertainty systems, the PID controller with Fuzzy auto-tuning give appreciable improvement in the performance. The significant properties of this algorithm is shown by simulation In this paper, we proposed a new PID algorithm by the fuzzy set theory to improve the performance of the PID controller.

키워드

참고문헌

  1. ZIEGLER, J.G.. and NICHOLS, N.B, 'Optimun settings for automatic controllers', Trans. ASME, 1942, 65, pp. 433-444
  2. HANG, C.C., LIM, C.C., and SOON, S.H., 'A new PID auto-tunner design based on correlation technique'. Proc. 2nd Multinational Instrumentation Conf., China, 1986
  3. HANG, C.C., and Astrom K.J. 'Refinements of the Ziegler Nichols tunning formula for PID auto-tunners'. Proc. ISA Conf., USA
  4. Astrom, K.J, C.C. HANG, P. PERSSON, W.K. HO, 'Towards Intelligent PID Control', 1991 International Federation of Automatic Control
  5. Astrom, K.J. and C.C. Hang and P. Persson (1988), 'Heuristics for assessment of PID control with Ziegler-Nichols tuning', Automatic Control, Lund Institute of Technology, Lund, Sweden
  6. Astrom, K.J., and Hagglund, T. 'Automatic tuning of simple regulators with specifications on phase and amplitude margins', Automatica, 1984, 20, pp.645-651 https://doi.org/10.1016/0005-1098(84)90014-1
  7. Astrom, K.J., 'Ziegler-Nichols auto-tuners', Report FRT-3167, Dept. of Automatic Control, Lund Inst. of Tech., Lund, Sweden. pp.245-254
  8. Heidar A. Malki, Huaidong Li and Guanrong Chen, 'New Design and Stability Analysis of Fuzzy Proportional - Derivative Control Systems.' IEEE Trans. on Fuzzy Systems. Vol. 2 NO.4. November 1994. pp.245-254 https://doi.org/10.1109/91.324804
  9. Han X. Li and H. B. Gatland, 'Conventional Fuzzy Control and Its Enhancement' IEEE Trans. on Systems, Man, and Cybernetics-part B, Vol.26, No.5, October 1996. pp 791-797 https://doi.org/10.1109/3477.537321
  10. George K. I. Mann, Bao-Gang Hu, and Raymond G. Gosine, 'Analysis of Direct Action Fuzzy PID Controller structures' IEEE Trans. on Systems, Man, and sybernetics - park B: Cybernetics, Vol.29, No.3, June 1999. pp. 371-388 https://doi.org/10.1109/3477.764871
  11. W. Pedrycz, 'An identification algorithm in fuzzy relational system', Fuzzy Sets Syst., Vol.13, pp. 153-167, 1984 https://doi.org/10.1016/0165-0114(84)90015-0
  12. R. M. Tong,, 'Synthesis of fuzzy models for industrial processes', Int, J. Gen. Syst, Vol4, pp. 143-162, 1978 https://doi.org/10.1080/03081077808960680
  13. M. sugeno and T. Yasukawa, 'Linguistic Modeling Based on Numerical Data' IFSA '91 Brussels, Computer, Management & System Science, pp. 264-267, 1991
  14. Dale E. Serborg, Thomas F. Edgar, Duncan A. Mellichamp, 'Process Dynamics And Control', Hohn Wiley & Sons, 1995
  15. P.Dorato, L.Fortuna, G.Muscato, 'Robust Control for Unstructured Perturbations An Introduction', Springer-Verlag Berlin Heidelberg 1992
  16. Doyle, J.C., Francis, B.A., and Tannenbaum, A.R., 'Feedback Control Theory', Macmillan, New York, 1992
  17. R. Tempo, F. Blanchini 'Robustness Analysis with Real Parametric Uncertainly' The Control Handbook, CRC Press, Inc. 1996, pp. 495-504