Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors

Amairi, M.

International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 3, pp. 543-553.

Résumé

This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.

Détail

Keywords: fractional calculus, set membership, estimation, unknown but bounded error
Mots-clés : układ niecałkowitego rzędu, zbiór estymacyjny, błąd ograniczony

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