Statistical properties of Multiple Modeling by Self-Organizing Map (MMSOM)

Mediterranean Journal of Measurement and Control

Volumn 3, Issue 4, 2007, Pages 151-156

  Fatehi, A ^a   Abe, K ^b  

^a K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

^b NIHON UNIVERSITY   (Japan)

Author keywords

Adaptive identification; Multiple Modeling by self Oraganizing Map (MMSOM); Neural networks; Parameter convergence; Point distribution; Self organizing Map (SOM)

Indexed keywords

IDENTIFICATION (CONTROL SYSTEMS); LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; STATISTICAL METHODS; TIME VARYING CONTROL SYSTEMS;

ADAPTIVE IDENTIFICATION; MULTIPLE MODELING BY SELF-ORGANIZING MAP; PARAMETER CONVERGENCE; POINT DISTRIBUTION;

SELF ORGANIZING MAPS;

EID: 36849037085     PISSN: 17439310     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. D. T. Magill, "Optimal adaptive estimation of sampled stochastic process", IEEE Transaction on Automatic Control, Vol. 10, No. 4, 1965, pp. 434-439.
2. R. H. Middleton, et al. "Design issue in adaptive control", IEEE Transaction on Automatic Control, Vol. 33, No. 1, 1988, pp. 50-58.
3. E. Mazor, A. Averbuch, Y. Bar-Shalom, J. Dayan, "Interacting multiple model methods in target tracking: a survey", IEEE Transactions on Aerospace and Electronic Systems, Vol. 34, No. 1, 1998, pp. 103-123.
4. J. Hespanha, et al. "Multiple model adaptive control", Part 2: Switching, International Journal of Robust and Nonlinear Control, Vol. 11, No. 5, 2001, pp. 479-496.
5. K. S. Narendra, et al. "Adaptive control using multiple models, switching and tuning", International Journal of Adaptive Control and Signal Processing, Vol. 17, No. 2, 2003, pp. 87-102.
6. R. Murray-Smith, T. Johansen (Eds.), "Multiple model approaches to modeling and control", Taylor and Francis, London, 1997, ISBN: 0-7484-0595-X.
7. S. R. Weller, G. C. Goodwin, "Hysteresis switching adaptive control of linear multivariable systems", IEEE Transaction on Automatic Control, Vol. 39, No. 7, 1994, pp. 1360-1375.
8. H. Azimian, A. Fatehi, B. N. Arabi, "Closed-Loop Global Fuzzy TSK Modeling: A Case Study", Proc. 15th Mediterranean Conf. on Control and Automation, Athens, Greece, 2007.
9. X. R. Li, Z. Zhao, X. B. Li, "General model-set design methods for multiple-model approach", IEEE Transaction on Automatic Control, Vol. 50, No. 9, 2005, pp. 1260-1276.
10. X. R. Li, "Multiple-model estimation with variable structure-part II: Model-Set Adaptation", IEEE Transaction on Automatic Control, Vol. 45, No. 11, 2000, pp. 2074-2060.
11. A. Fatehi, K. Abe, "Plant identification by SOM neural networks", Proc. 5th European Control Conference, Karlsruhe, Germany, 1999, F190.
12. A. Fatehi, K. Abe "Multilinear modeling of nonlinear continuously variable transmission (CVT) gear-box plant by SOM neural networks", Proc. International Workshop on Soft Computing in Industry (IWSCI), Muroran, Japan, 1999, pp. 31-35.
13. A. Fatehi, K. Abe, "Convergence of SOM multiple model identification", Proc. IEEE International Conference on Systems, Man, and Cybernetics (IEEE SMC'99). Tokyo, Japan, 1999, pp. 1074-1077.
14. L. Ljung, System Identification: Theory for the User. Englewood Cliffs, New Jersey, 1987, ISBN: 0-13-656695-2.
15. T. Kohonen, "Self-Organizing Maps," Springer-Verlag: London", 1997, ISBN: 3540679219.
16. P. Zador, "Asymptotic quantization error of continuous signals and the quantization dimension", IEEE Transaction on Information Theory, Vol. 28, No. 2, 1982, pp. 139-149.