Identifiability of discrete-time nonlinear systems: the local state isomorphism approach

Floriane Anstett (1) , Gérard Bloch (1, 2) , Gilles Millérioux (1, 2) , Lilianne Denis-Vidal (3)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 UHP - Université Henri Poincaré - Nancy 1
3 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne

A new theorem is provided to test the identifiability of discrete-time systems with polynomial nonlinearities. That extends to discrete-time systems the local state isomorphism approach for continuous-time systems. Two examples are provided to illustrate the approach.

Mots clés: Identifiability; discrete-time systems; polynomial nonlinearities.; polynomial nonlinearities

Domaines: Automatique; Automatique / Robotique

Floriane Anstett, Gérard Bloch, Gilles Millérioux, Lilianne Denis-Vidal. Identifiability of discrete-time nonlinear systems: the local state isomorphism approach. Automatica, 2008, 44 (11), pp.2884-2889. ⟨10.1016/j.automatica.2008.03.019⟩. ⟨hal-00267626⟩