Identification of Nonlinear State-Space Models by Deterministic Search

  • J. P. Norton
  • S. M. Veres

Abstract

An economical technique for tracing the boundary of a two-dimensional cross section of the feasible parameter set for a model with bounded output error is described. It allows exploration of a boundary which is not piecewise linear and may not be convex. First a point on the boundary is found, then a line search is executed, adapting to local behavior of the boundary. Resolution may be traded against computational speed by choice of the search parameters.

Keywords

Covariance Hull Methionine Smit 

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References

  1. 1.
    J. P. Norton, Biomed. Meas. Inf. Control. 2, 101 (1987).Google Scholar
  2. 2.
    K. Fedra, G. Van Straten, and M. B. Beck, Eco. Model. 13, 87 (1981).CrossRefGoogle Scholar
  3. 3.
    M. K. Smit, Measurement 1, 181 (1983).CrossRefGoogle Scholar
  4. 4.
    M. K. Smit and Ch. Van Vliet, Measurement 1, 209 (1983).CrossRefGoogle Scholar
  5. 5.
    H. Lahanier, E. Walter, and R. Gomeni, J. Pharmacokin. 15, 203 (1987).CrossRefGoogle Scholar
  6. 6.
    H. Piet-Lahanier and E. Walter, Math. Comput. Simul. 32, 553 (1990).MathSciNetCrossRefGoogle Scholar
  7. 7.
    M. Milanese and A. Vicino, Automatica 27, 404 (1991).Google Scholar
  8. 8.
    L. Jaulin and E. Walter, Automatica 29, 1053 (1993).MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    L. Jaulin and E. Walter, Math. Comput. Simul. 35, 123 (1993).MathSciNetCrossRefGoogle Scholar
  10. 10.
    S. M. Veres and J. P. Norton, in: Proceedings of the 9th IASTED International Conference on Modelling, Identification & Control, Innsbruck, Austria, pp. 367-370 (1990).Google Scholar
  11. 11.
    H. Piet-Lahanier, Estimation de Paramètres pour des Modèles à Erreur Bornée, Thèse de Docteur en Sciences Univ. de Paris-Sud, Centre d’Orsay, Paris (1987).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • J. P. Norton
    • 1
  • S. M. Veres
    • 1
  1. 1.School of Electronic and Electrical EngineeringUniversity of BirminghamEdgbaston, BirminghamUK

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