Parameter identification in tidal models with uncertain boundaries

Arunabha Bagchi, P.G.J. ten Brummelhuis, Paul ten Brummelhuis

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

In this paper we consider a simultaneous state and parameter estimation procedure for tidal models with random inputs, which is formulated as a minimization problem. It is assumed that some model parameters are unknown and that the random noise inputs only act upon the open boundaries. The hyperbolic nature of the governing dynamical equations is exploited in order to determine the smoothed states efficiently. This enables us to also apply the procedure to nonlinear tidal models without an excessive computational load. The main aspects of this paper are that the method of Chavent (Identification and System Parameter Estimation. Proc. 5th IFAC Symp. Pergamon, Oxford, pp 85¿97, 1979), used to calculate the gradient of a criterion that is to be minimized, is now embedded in a stochastic environment and that the estimation method can also be applied to practical, large-scale problems.
Original languageUndefined
Pages (from-to)745-759
Number of pages15
JournalAutomatica
Volume30
Issue number5
DOIs
Publication statusPublished - 1994

Keywords

  • METIS-140872
  • IR-30232

Cite this

Bagchi, A., ten Brummelhuis, P. G. J., & ten Brummelhuis, P. (1994). Parameter identification in tidal models with uncertain boundaries. Automatica, 30(5), 745-759. https://doi.org/10.1016/0005-1098(94)90166-X
Bagchi, Arunabha ; ten Brummelhuis, P.G.J. ; ten Brummelhuis, Paul. / Parameter identification in tidal models with uncertain boundaries. In: Automatica. 1994 ; Vol. 30, No. 5. pp. 745-759.
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Bagchi, A, ten Brummelhuis, PGJ & ten Brummelhuis, P 1994, 'Parameter identification in tidal models with uncertain boundaries' Automatica, vol. 30, no. 5, pp. 745-759. https://doi.org/10.1016/0005-1098(94)90166-X

Parameter identification in tidal models with uncertain boundaries. / Bagchi, Arunabha; ten Brummelhuis, P.G.J.; ten Brummelhuis, Paul.

In: Automatica, Vol. 30, No. 5, 1994, p. 745-759.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Parameter identification in tidal models with uncertain boundaries

AU - Bagchi, Arunabha

AU - ten Brummelhuis, P.G.J.

AU - ten Brummelhuis, Paul

PY - 1994

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AB - In this paper we consider a simultaneous state and parameter estimation procedure for tidal models with random inputs, which is formulated as a minimization problem. It is assumed that some model parameters are unknown and that the random noise inputs only act upon the open boundaries. The hyperbolic nature of the governing dynamical equations is exploited in order to determine the smoothed states efficiently. This enables us to also apply the procedure to nonlinear tidal models without an excessive computational load. The main aspects of this paper are that the method of Chavent (Identification and System Parameter Estimation. Proc. 5th IFAC Symp. Pergamon, Oxford, pp 85¿97, 1979), used to calculate the gradient of a criterion that is to be minimized, is now embedded in a stochastic environment and that the estimation method can also be applied to practical, large-scale problems.

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