Identification of LPV partial differential equation models

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the identification of linear parameter varying (LPV) models described by partial differential equations (PDE). A direct identification of continuous space-time LPV-EDP systems in an input-output setting is investigated in the case of an additive output noise. The continuous space-time LPV-PDE model is firstly proposed to be rewritten as a multi-input single-output linear time-space invariant model and an iterative optimization is then developed to estimate efficiently the model parameters. The performance of the proposed method is then illustrated via a representative simulation example based on an Alsace river-flow measurement.

Mots clés: System identification; Distributed parameter systems; Linear parameter-varying systems

Domaines: Automatique

Julien Schorsch, Marion Gilson, Vincent Laurain, Hugues Garnier. Identification of LPV partial differential equation models. 52nd IEEE Conference on Decision and Control, CDC 2013, Dec 2013, Florence, Italy. Paper ThA17.3. ⟨hal-00861956⟩