Refined IV-based method for LPV partial differential equation model identification

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents a direct identification method for linear parameter varying models described by partial differential equations in an input-output setting. The continuous space-time model is firstly rewritten as a multiple-input singleoutput model. The continuous filtering operations are reformulated as a discrete convolution product and a refined instrumental variable technique is developed to efficiently estimate the model parameters. The performance of the proposed method is then illustrated via a representative simulation example.

Mots clés: Instrumental variable; partial differential equation; Distributed-Parameter Systems

Domaines: Automatique

Julien Schorsch, Vincent Laurain, Marion Gilson, Hugues Garnier. Refined IV-based method for LPV partial differential equation model identification. 13th European Control Conference, ECC'14, Jun 2014, Strasbourg, France. pp.2127-2132. ⟨hal-01058618⟩