Set-membership identifiability of nonlinear models and related parameter estimation properties

Jauberthie, C. ; Travé-Massuyès, L. ; Verdière, N.

International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 4, pp. 803-813.

Résumé

Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

Détail

Keywords: identifiability, bounded uncertainty, set membership estimation, nonlinear dynamic model
Mots-clés : identyfikowalność, niepewność ograniczona, zbiór estymacyjny, model dynamiczny nieliniowy

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