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Identification, structure selection and validation of uncertain models with set-membership error description

Author

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  • Belforte, G.
  • Bona, B.
  • Cerone, V.

Abstract

This paper discusses the problem of parameter identification in presence of errors and uncertainties characterized by a set-membership description. Some relations existing between posterior identifiability, structure selection and validation, and the influence of modeling and measurement error are pointed out. Both theoretical and algorithmic problems are discussed; special attention is devoted to the influence of various assumptions and a priori information on the algorithmic complexity. Finally a practical example, derived from the tuning procedure of a digital voltmeter in an intelligent measurement equipment, is presented.

Suggested Citation

  • Belforte, G. & Bona, B. & Cerone, V., 1990. "Identification, structure selection and validation of uncertain models with set-membership error description," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 32(5), pages 561-569.
    • Handle: RePEc:eee:matcom:v:32:y:1990:i:5:p:561-569
    DOI: 10.1016/0378-4754(90)90012-8
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    References listed on IDEAS

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    1. Clement, Thierry & Gentil, Sylviane, 1988. "Reformulation of parameter identification with unknown-but-bounded errors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 30(3), pages 257-270.
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    Cited by:

    1. Walter, Eric & Piet-Lahanier, Hélène, 1990. "Estimation of parameter bounds from bounded-error data: a survey," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 32(5), pages 449-468.
    2. Smit, M.K. & Verhoof, J.W., 1990. "A bounded-error approach to accuracy analysis in ellipsometry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 32(5), pages 545-551.

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