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Online Evolving TSK fuzzy identification

온라인 진화형 TSK 퍼지 식별

  • 김경중 (연세대학교 전기전자공학과) ;
  • 박창우 (전자부품연구원 정밀기기연구센터) ;
  • 김은태 (연세대학교 전기전자공학과) ;
  • 박민용 (연세대학교 전기전자공학과)
  • Published : 2005.04.01

Abstract

This paper presents online identification algorithm for TSK fuzzy model. The proposed algorithm identify structure of premise part by using distance, and obtain the parameters of the piecewise linear function consisting consequent part by using recursive least square. Only input space was considered in Most researches on structure identification, but input and output space is considered in the proposed algorithm. By doing so, outliers are excluded in clustering effectively. The existing other algorithm has disadvantage that it is sensitive to noise by using data itself as cluster centers. The proposed algorithm is non-sensitive to noise not by using data itself as cluster centers. Model can be obtained through one pass and it is not needed to memorize many data in the proposed algorithm.

본 논문에서는 TSK 퍼지 모델을 위한 온라인 식별 알고리즘을 제안한다. 제안된 알고리즘은 거리를 이용하여 TSK 퍼지 모델에 대한 전건부의 구조를 식별하고, 재귀적 최소자승법으로 후건부를 구성하는 부분 선형 함수들의 매개 변수를 구한다. 대부분의 다른 연구들에서는 전건부의 구조를 구하기 위해서 클러스터링을 수행할 때 입력 공간에서만 고려하였으나. 제안된 알고리즘에서는 입력 공간 및 출력 공간 모두에서 고려하여, 아웃라이어를 효과적으로 배제할 수 있다. 기존의 대부분의 다른 알고리즘에서 샘플 데이터자체를 클러스터의 중심으로 사용하여 잡음에 민감한 단점이 있었으나, 제안된 알고리즘에서는 데이터 자체를 클러스터의 중심으로 사용하지 않아 잡음에 대해 민감하지 않다. 제안된 알고리즘은 많은 데이터의 저장을 필요로 하지 않고, 한 번 통과함으로써 모델을 구할 수 있다.

Keywords

References

  1. G. Leng, G. Prasad, T. M. McGinnity, 'An on-line algorithm for creating self-organizing fuzzy neural networks', Neural Networks, vol. 17, issue 10, pp. 1477-1493, December 2004 https://doi.org/10.1016/j.neunet.2004.07.009
  2. P. P. Angelov, D. P. Filev, 'An Approach to Online Identification of Takagi-Sugeno Fuzzy Models', IEEE Trans. System, Man, And Cybernetics-part B, vol. 34, no.1, pp. 484-498, February, 2004 https://doi.org/10.1109/TSMCB.2003.817053
  3. N. Kasabov, Q. Song, 'DNFIS: Dynamic Evolving Neural-Fuzzy Inference System and Its Application for Time-Series Prediction', IEEE Trans. Fuzzy Systems, vol. 10, no. 2, pp. 144-154, April, 2004 https://doi.org/10.1109/91.995117
  4. C.-F. Juang, C.-T. Lin, 'An On-line Self-Constructing Neural Fuzzy Inference Network and Its Applications', IEEE Trans. Fuzzy Systems, vol. 6, no. 1, pp. 12-32, February, 1998 https://doi.org/10.1109/91.660805
  5. F.-J. Lin, C.-H. Lin, P-H. Shen, 'Self-Constructing Fuzzy Neural Network Speed Controller for Permanent-Magnet Synchronous Motor Drive', IEEE Trans. Fuzzy Systems, vol. 9, no. 5, pp. 751-759. October, 2001 https://doi.org/10.1109/91.963761
  6. J. Yen, L. Wang, C. W. Gillespie, 'Improving the Interpretability of TSK Fuzzy Models by Combining Global Learning and Local learning', IEEE Trans. Fuzzy Systems, vol. 6, no. 4, pp. 530-537, November, 1998 https://doi.org/10.1109/91.728447
  7. C.-T. Lin, 'A neural fuzzy control system with structure and parameter learning', Fuzzy Sets and Systems, vol. 70, pp. 183-212, 1995 https://doi.org/10.1016/0165-0114(94)00216-T
  8. S. Wu, M. J. Er, Y. Gao, 'A Fast Approach for Automatic Generation of Fuzzy Fules by Generalized Dynamic Fuzzy Neural Networks', IEEE Trans. Fuzzy Systems, vol. 9, no. 4, pp. 578-594, August, 2001 https://doi.org/10.1109/91.940970
  9. M. J. Er, S. Wu, 'A fast learning algorithm for parsimonious fuzzy neural systems', Fuzzy Sets and Systems, vol. 126, pp. 337-351, 2002 https://doi.org/10.1016/S0165-0114(01)00034-3
  10. S. Wu, M. J. Er, 'Dynamic Fuzzy Neural Networks-A Novel Approach to Function Approximation' IEEE Trans. Systems, Man, and Cybernetics-Part B, vol. 30, no. 2, pp. 358-364, April, 2000 https://doi.org/10.1109/3477.836384
  11. S. G. Tzafestas, K. C. Zikidis, 'NeuroFAST: On-line Neuro-Fuzzy ART-Based Structure and Parameter Learning TSK Model', IEEE Trans. Systems, Man, and Cybernetics-Part B, vol. 31, no. 5, pp. 797-802, October, 2001 https://doi.org/10.1109/3477.956041
  12. D. Kukolj, E. Levi, 'Identification of Complex Systems Based on Neural and Takagi-Sugeno Fuzzy Model' IEEE Trans. Systems, Man, and Cybernetics-PART B, vol. 34, no. 1, pp. 272-282, February, 2004 https://doi.org/10.1109/TSMCB.2003.811119
  13. M. F. Azeem, M. Hanmandlu, N. Ahmad, 'Structure Identification of Generalized Adaptive Neuro-Fuzzy Inference Systems', IEEE Trans. Fuzzy Systems, vol. 11, no. 5, pp. 666-681, October, 2003 https://doi.org/10.1109/TFUZZ.2003.817857
  14. P. X. Liu, M. Q.-H. Meng, 'Online Data-Driven Fuzzy Clustering With Applications to Real-Time Robotic Tracking', IEEE Trans. Fuzzy Systems, vol. 12, no. 4, pp. 516-523, August, 2004 https://doi.org/10.1109/TFUZZ.2004.832521
  15. N. Kasabov, 'Evolving Fuzzy Neural Networks for Supervised/Unsupervised Online Knowledge- Based Learning', IEEE Trans. Systems, Man, and Cybernetics-PART B, vol. 31, no. 6, pp.902-918, December, 2001 https://doi.org/10.1109/3477.969494
  16. P. P. Angelov, V. I. Hanby, R. A. Buswell, J. A. Wright, 'Automatic generation of fuzzy rulebased models from data by genetic algorithms', in Advances in Soft Computing, R. John and R. Birkenhead, Eds. Heidelberg, Germany: Springer- Verlag, 2001, pp. 31-40
  17. P. P. Angelov, Evolving Rule-Based Models: A Tool for Design of Flexible Adaptive Systems. Heidelberg, Germany: Springer-Verlag, 2002
  18. T. Takagi, M. Sugeno, ' Fuzzy identification of systems and its applications to modeling and control', IEEE Trans. Systems, Man, and Cybernetics, vol. 15, pp. 116-132, 1985
  19. L. X. Wang, A Course in Fuzzy Systems and Control, Prentice Hall, 1997
  20. N. Kasabov, 'Evolving fuzzy neural networks- Algorithms, applications, and biological motivation,' in Methodologies for the Conception, Design, and Applications of Soft Computing, T. Yamakawa and G. Matsumoto, Eds. Singapore: World Scientific, pp. 271-274, 1998
  21. K. Kim, Y.-K. Kim, E. Kim and M. Park, 'A New Fuzzy Modeling Approach', Proc. of FUZZ-IEEE 2004, pp.773-776, July, 2004
  22. E. Kim, M. Park, S. Ji, M. Park, 'A new approach to fuzzy modeling,' IEEE Trans. Fuzzy Systems, vol. 5, pp. 328-337, Aug. 1997 https://doi.org/10.1109/91.618271
  23. K. Kim, K. M. Kyung, C.-W. Park, E. Kim, M. Park, 'Robust TSK Fuzzy Modeling Approach Using Noise Clustering Concept for Function Approximation', LNCS, Vol. 3314, pp. 538-543, December, 2004
  24. R. Isermann, K.-H. Lachmann, D. Matko, Adaptive Control Systems, Prentice Hall, 1992
  25. L. Ljung, System Identification: Theory for the user, Prentice Hall, 1998
  26. G. C. Goodwin, K. S. Sin, Adaptive Filtering Prediction and Control, Prentice Hall, 1984
  27. S. Haykin, Adaptive Filter Theory, Prentice Hall, 1996
  28. J.-S. R. Jang, C.-T. Sun, E. Mizutani, Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Prentice Hall, 1997