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Fuzzy Logic Modeling and Its Application to A Walking-Beam Reheating Furnace

  • Zhang, Bin (School of Electrical and Computer Engineering, Georgia Institute of Technology) ;
  • Wang, Jing-Cheng (Department of Automation, Shanghai Jiaotong University)
  • Published : 2007.09.01

Abstract

A fuzzy modeling method is proposed to build the dynamic model of a walking-beam reheating furnace from the recorded data. In the proposed method, the number of membership function on each variable is increased individually and the modeling accuracy is evaluated iteratively. When the modeling accuracy is satisfied, the membership functions on each variable are fixed and the structure of fuzzy model is determined. Because the training data is limited, in this process, as the number of membership function increase, it is highly possible that some rules are missing, i.e., no data in the training set corresponds to the consequent part of a missing rule. To complete the rulebase, the output of the model constructed at the previous step is used to generate the consequent part of the missing rules. Finally, in the real time application, a rolling update scheme to rulebase is introduced to compensate the change of system dynamics and fine tune the rulebase. The proposed method is verified by the application to the modeling of a reheating furnace.

Keywords

References

  1. Sugeno M. and G. T. Kang, 'Structure Identification of Fuzzy Model,' Fuzzy Sets and Systems, vol.28, pp. 15-33, 1988 https://doi.org/10.1016/0165-0114(88)90113-3
  2. Takagi T and Sugeno M., 'Fuzzy Identification of Systems and Its Applications to Modeling and Control,' IEEE Trans. on Systems, Man, and Cybernetics, vol.15, no. 1, pp. 116-132, 1985
  3. L.X. Wang and J.M. Mendel, 'Generating Fuzzy Rules by Learning from Examples,' IEEE Trans. on Systems, Man, and Cybernetics, vol. 22, no. 6, pp. 1414-1427, 1992 https://doi.org/10.1109/21.199466
  4. J. Nie, 'Constructing Fuzzy Model by Self-Organizing Counter-Propagation Network,' IEEE Trans. on System, Man, and Cybernetics, vol. 25, no. 6, pp. 963-970, 1995 https://doi.org/10.1109/21.384258
  5. S. Abe and M.S. Lan, 'A Classifier Using Fuzzy Rules Extracted Directly from Numerical Data,' Proceedings of Second IEEE International Conference on Fuzzy Systems, San Francisco, CA, March 1993, pp. 1191-1198, 1993
  6. S. Abe and M.S. Lan, 'Fuzzy Rules Extraction Directly from Numerical Data for Function Approximation,' IEEE Trans. on Systems, Man, and Cybernetics, vol. 25, no. 1, pp. 119-129,1995 https://doi.org/10.1109/21.362960
  7. L. De Mecatrnica, 'Autonomous Mountain-Clustering Method Applied to Fuzzy Systems Modeling,' Smart Engineering Systems: Fuzzy Logic and Evolutionary Programming, ASME Press, New York, USA, pp. 311-316, 1995
  8. Huarng, K.-H.; Yu, T. H.-K.; Hsu, Y. W., 'A Multivariate Heuristic Model for Fuzzy Time-Series Forecasting,' IEEE Transactions on Systems, Man and Cybernetics, vol. 37, no. 4, pp. 836-846, 2007 https://doi.org/10.1109/TSMCB.2006.890303
  9. J. Jang, 'Structure Determination in Fuzzy Modeling: A Fuzzy CART Approach,' Proc. of IEEE International Conference on Fuzzy System, Orlando, FL, June 1994, pp. 480-485, 1994
  10. Kuang C.C. and Su J. Y., 'Affine Takagi-Sugeno Fuzzy Modeling Algorithm by Fuzzy C-Regression Models Clustering with a Novel Cluster Validity Criterion,' Control Theory and Application, IET, vol. 1, no. 5, pp. 1255-1265, 2007 https://doi.org/10.1049/iet-cta:20060415
  11. Moreno-Garcia, J.; Castro-Schez, J.; Jimenez, L., 'A Fuzzy Inductive Algorithm for Modeling Dynamic Systems in a Comprehensible Way,' IEEE Transactions on Fuzzy Systems, vol. 15, no.4, pp. 652-672, 2007 https://doi.org/10.1109/TFUZZ.2006.889891
  12. Y. Wu, J. Lu, J. Xu, Y. Sun, 'Bioprocess Modeling Using Fuzzy Regression Clustering and Genetic Programming,' The 6th World Congress on Intelligent Control and Automation, vol.2, Dalian China, pp. 9337-9341, June 2006
  13. L.X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice Hall, Englewood Cliffs, NJ. USA, 1994