An optimal degree of complexity of a simplified model

• Autorzy: Boćkowska M. , Żuchowski A.
• Języki publikacji: EN

Abstrakty

EN

A simplified model can be created using one of the already known mathematical methods (series expansion of a function, truncating continued fraction expansion [1] and so forth) if the analytic form of the full model is known or using regression to determine the optimal parameters of the model with arbitrary assumed structure. If the measured accuracy of input variables can be obtained, the optimal degree of complexity of the model can be determined.

Słowa kluczowe

EN

simplified model; model complexity

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2007
• Tom: Vol. 14, nr 2
• Strony: 275--281
• Opis fizyczny: Bibliogr. 8 poz., tab.

Twórcy

autor

Boćkowska M.

autor

Żuchowski A.

• Szczecin University of Technology, Poland,

Bibliografia

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• 2. Halawa J.: Methods of determination of simplified transfer functions and their application in automatic and electroenergetic. Politechnika Wrocławska, Instytut Cybernetyki Technicznej. Prace naukowe 1991. Seria Monografie Nr 21. (in Polish)
• 3. Layer E.: Modelling of Simplified Dynamical Systems. Berlin, Springer Verlag 2002.
• 4. De Larminant P., Thomas Y.: Automatic – linear systems. Vol. 2. Identification. Warszawa, WNT 1983. (in Polish)
• 5. Hoerl A. E.: Application of rigde analysis to regression problems. Chem. Eng. Progress 58, pp. 54–59, 1962.
• 6. Hoerl A. E., Kennard W. R.: Rigde regression: Biased estimation for non-orthogonal problems, Technometrics, vol. 12, pp. 55–68, 1970.
• 7. Marquardt D. W.: An algorithm for least squares estimation of nonlinear parameters. J. SIAM 11, pp. 431–441, 1963.
• 8. Tikhonov A. N., Arsenin Y. V.: Solutions of ill-posed problems. Winston, Washington, D. C., 1977.