Abstract
An approach to the on-line design of Takagi-Sugeno type fuzzy models is presented in the paper. It combines supervised and unsupervised learning and recursively updates both the model structure and parameters. The rule-base gradually evolves increasing its summarization power. This approach leads to the concept of the evolving Takagi -Sugeno model. Due to the gradual update of the rule structure and parameters, it adapts to the changing data pattern. The requirement for update of the rule-base is based on the spatial proximity and is a quite strong one. As a result, the model evolves to a compact set of fuzzy rules, which adds to the interpretability, a property especially useful in fault detection. Other possible areas of application are adaptive non-linear control, time series forecasting, knowledge extraction, robotics, behavior modeling. The results of application to the on-line modeling the fermentation of Kluyveromyces lactis illustrate the efficiency of the approach.
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References
Yager, R., Filev, D.: Essentials of Fuzzy Modeling and Control. NY: John Wiley, (1994)
Johanson, T. A., Murray-Smith, R.: Operating regime approach to non-linear modeling and control. In: Multiple Model Approaches to Modeling and Control. Murray-Smith, R., Johanson T. A. (eds.). Hants, UK: Taylor Francis (1992) 3–72
Jang, J. S. R.: ANFIS: Adaptive network-based fuzzy inference systems, IEEE Transactions on Systems, Man & Cybernetics. 23(3) (1993) 665–685
Angelov, P.: Evolving Rule-based Models: A Tool for Design of Flexible Adaptive Systems. Heidelberg, Germany: Springer-Verlag (2002)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its application to modeling and control. IEEE Trans. on Systems, Man and Cybernetics. 15 (1985) 116–132
Filev, D. P.: Rule-base guided adaptation for mode detection in process control. In: 9th IFSA World Congress, Vancouver, BC, Canada (2001) 1068–1073
Chiu, S. L.: Fuzzy model identification based on cluster estimation, J. of Intell. & Fuzzy Syst. 2 (1994) 267–278
Yen, J., Wang, L., Gillespie, C. W.: Improving the Interpretability of TSK Fuzzy Models by Combining Global and Local Learning. IEEE Trans. on Fuzzy Syst. 6 (1998) 530–537
Lin, F.-J., Lin, C.-H., Shen, P.-H.: Self-constructing fuzzy neural network speed controller for permanent-magnet synchronous motor drive. IEEE Tr. Fuzzy Syst. 9 (2001) 751–759
Astroem, K. J., Wittenmark, B.: Adaptive Control. Addison Wesley, MA, USA, 1989
Kasabov, N. K., Song, Q.: DENFIS: Dynamic Evolving Neural-Fuzzy Inference System and its application for time-series prediction. IEEE Tr. on Fuzzy Syst. 10 (2002) 144–154
Vapnik V., The Nature of Statistical Learning Theory. New York: Springer-Verlag (1995)
Angelov, P., D. Filev, “An approach to on-line identification of Takagi-Sugeno fuzzy models. IEEE Trans. on Systems, Man and Cybernetics-B, to appear.
Bezdek, J., Cluster Validity with Fuzzy Sets: J of Cybernetics 3(3) (1974) 58–71
Gustafson, D. E., Kessel, W. C.: Fuzzy clustering with a fuzzy covariance matrix. IEEE Control and Decision Conference. San Diego, CA, USA (1979) 761–766
Angelov, P., Simova, E., Beshkova, D.: Control of cell protein synthesis from Kluyweromyces marxianus var. lactis MC5. Biotech. & Bio Eq. 10(1996) 44–50
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Angelov, P., Filev, D. (2003). On-line Design of Takagi-Sugeno Models. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_69
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DOI: https://doi.org/10.1007/3-540-44967-1_69
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