Identification of advection-diffusion equation from a limited number of spatial locations

Julien Schorsch (1) , Marion Gilson (1) , Hugues Garnier (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents an instrumental variable method for identifying advection-diffusion equation models in presence of output measurement noise. This partial differential equation is commonly used to describe the transport and dispersion of a solute in a river channel. The realistic measurement situation where spatial data are limited and non-uniformly distributed is considered. A refined instrumental variable method involving adaptive data filtering is proposed to handle the non-uniformly spatial data distribution. The performance of the proposed approach are illustrated by a numerical example.

Mots clés: Instrumental variable; partial differential equation; identification

Domaines: Automatique

Julien Schorsch, Marion Gilson, Hugues Garnier. Identification of advection-diffusion equation from a limited number of spatial locations. 11th IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, ALCOSP'2013, Jul 2013, Caen, France. pp.CDROM. ⟨hal-00841204⟩