Diffusive Identification of Volterra Models by Cancellation of the Nonlinear Term

Céline Casenave 1 Gérard Montseny 1
1 LAAS-MRS
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
Abstract : We present a new identification method for nonlinear Volterra models of the form H(dt)X=F(u,X)+v with H(dt) a causal convolution operator. It is based first on a suitable parameterization of H(dt) deduced from the so-called diffusive representation, devoted to state representations of integral operators, and second on a suitable operatorial transformation of the problem with the property that the nonlinear term F(u,X) is cancelled, allowing to identify the operator H(dt) alone. Then, the nonlinear term can be identified from standard regression methods. For illustration, we implement this method on a concrete numerical example.
Document type :
Conference papers
15th IFAC Symposium on System Identification, SYSID 2009, Jul 2009, Saint-Malo, France. pp.640-645, 2009, 〈10.3182/20090706-3-FR-2004.00106〉
Liste complète des métadonnées

Cited literature [10 references]  Display  Hide  Download

https://hal.inria.fr/hal-01061517
Contributor : Céline Casenave <>
Submitted on : Sunday, September 7, 2014 - 1:22:48 PM
Last modification on : Tuesday, September 11, 2018 - 3:19:14 PM
Document(s) archivé(s) le : Monday, December 8, 2014 - 10:10:21 AM

File

Preprint_Casenave_and_Montseny...
Files produced by the author(s)

Identifiers

Citation

Céline Casenave, Gérard Montseny. Diffusive Identification of Volterra Models by Cancellation of the Nonlinear Term. 15th IFAC Symposium on System Identification, SYSID 2009, Jul 2009, Saint-Malo, France. pp.640-645, 2009, 〈10.3182/20090706-3-FR-2004.00106〉. 〈hal-01061517〉

Share

Metrics

Record views

72

Files downloads

62