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

• Autorzy: Jauberthie C. , Travé-Massuyès L. , Verdière N.

Identyfikatory

DOI

10.1515/amcs-2016-0057

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

identifiability; bounded uncertainty; set membership estimation; nonlinear dynamic model

PL

identyfikowalność; niepewność ograniczona; zbiór estymacyjny; model dynamiczny nieliniowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 4
• Strony: 803--813
• Opis fizyczny: Bibliogr. 31 poz., rys.

Twórcy

autor

Jauberthie C.

• LAAS-CNRS, University of Toulouse, UPS, 7 avenue du Colonel Roche, 31400 Toulouse, France

autor

Travé-Massuyès L.

• LAAS-CNRS, University of Toulouse, UPS, 7 avenue du Colonel Roche, 31400 Toulouse, France

autor

Verdière N.

• UNIHAVRE, LMAH, Normandy University, FR-CNRS-3335, ISCN, 76600 Le Havre, France

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.