Estimation of Optimal Control Parameters and Design of Hybrid Fuzzy Controller by Means of Genetic Algorithms

유전자 알고리즘에 의한 HFC의 최적 제어파라미터 추정 및 설계

  • 이대근 (원광대 전기전자공학부) ;
  • 오성권 (원광대 전기전자공학부) ;
  • 장성환 (원광대 전기전자공학부) ;
  • 김용수 (대전대 컴퓨터공학과)
  • Published : 2000.11.01

Abstract

The new design methodology of a hybrid fuzzy controller by means of the genetic algorithms is presented. First, a hybrid fuzzy controller(HFC) related to the optimal estimation of control parameters is proposed. The control input for the system in the HFC combined PID controller with fuzzy controller is a convex combination of the FLC's output and PID's output by a fuzzy variable, namely, membership function of weighting coefficient. Second, an auto-tuning algorithms utilizing the simplified reasoning method and genetic algorithms is presented to automatically improve the performance of hybrid fuzzy controller. Especially, in order to auto-tune scaling factors and PID parameters of HFC using GA, three kinds of estimation modes such as basic, contraction, and expansion mode are effectively utilized. The proposed HFC is evaluated and discussed to show applicability and superiority with the and of three representative processes.

Keywords

References

  1. K.Astrom and T. Hagglund, 'PID Controller : Theory, Design and Tuning.' Instrument Society of America, 1995
  2. HANG, C.C, Lim, C.C, and SOON, S.H, 'A new PID auto-tuner 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 tuning formula for PID auto-tuners.' Proc. ISA Conf., USA
  4. Astrom, K.J, C.C. HANG, P. PERSSON, 'Heuristics for assessment of PID control with Ziegler-Nichols tuning.' Automatic Control, Lund Institute of Technology, Lund, Sweden, 1988
  5. Benjamin C.Kuo, Jacob Tal, 'DC motors and Control systems.' SRL Pub. Co., 1978
  6. Zbigniwe. Michelewicz, 'Genetic algorithms + Data Structures = Evolution programs.' Springer Verlag, 1992
  7. Goldberg 1989 D.E. Goldberg, 'Genetic algorithms in Search, Optimization, and Machine Learning.' Addison-Wesley, 1989
  8. T.Terano, K.Asai and M, Sugeno, 'Applied Fuzzy Systems.' AP Professional, 1994
  9. T.j.Procyk and E.H.Mamdani, 'A linguistic synthesis of fuzzy controller.' Automatica, vol.15,pp.15-30, 1979 https://doi.org/10.1016/0005-1098(79)90084-0
  10. A. Viectek etc., 'Fuzzy approach to the design of the simple control algorithm'.World congress, vol.6, 1984
  11. S.Tzafestas, 'Incremental fuzzy expert PID control.' IEEE Trans. on Industrial Electronics, vol.37, no.5, 1990 https://doi.org/10.1109/41.103431
  12. Xian-Tu Peng, 'Self-regulating PID controllers and its applications to a temperature controlling process.' Fuzzy Computing, pp.355-364, North Holland, 1988
  13. L.A.Zadeh, 'Outline of a new approach to the analysis of complex systems and decision process.' IEEE Trans. on System. Man and Cybernetics., pp.28-44, 1973
  14. J.Malers and Y.S.Sherif, 'Application of fuzzy set theory.' IEEE Trans. on System, Man and Cybernetics., vol. Smc-15,no.1, 1985
  15. Sungkwun Oh, Taechon Ahn, Hyungsoo Hwang, Jongjin Park and Kwangbang Woo, 'Design of a Hybrid Fuzzy Controller with the Optimal Auto-tuning Method.' Journal of Control, Automation and Systems Engineering, Vol. 1, No. 1, September, 1995
  16. Kevin M. Passino and Stephen yurhovich, 'Fuzzy Control.' Addison-Wesley Longman, Inc, 1998
  17. Ziegler, J.G, and Nichols, N.B, 'Optimum settings for automatic controllers.' Trans. ASME, 65, pp.433-444, 1942