Identification of LPV partial differential equation models

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 spa...

Full description

Saved in:
Bibliographic Details
Main Authors: Schorsch, J., Gilson, M., Laurain, V., Garnier, H.
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Equations
Iterative methods
Mathematical model
Noise
Noise measurement
Rivers
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0191-2216
DOI:10.1109/CDC.2013.6760590