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Identification of MIMO Hammerstein models using Singular Value Decomposition approach

by Badreddine Louhichi, Ahmed Toumi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 42 - Number 9
Year of Publication: 2012
Authors: Badreddine Louhichi, Ahmed Toumi
10.5120/5723-7783

Badreddine Louhichi, Ahmed Toumi . Identification of MIMO Hammerstein models using Singular Value Decomposition approach. International Journal of Computer Applications. 42, 9 ( March 2012), 29-37. DOI=10.5120/5723-7783

@article{ 10.5120/5723-7783,
author = { Badreddine Louhichi, Ahmed Toumi },
title = { Identification of MIMO Hammerstein models using Singular Value Decomposition approach },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 42 },
number = { 9 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 29-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume42/number9/5723-7783/ },
doi = { 10.5120/5723-7783 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:32:07.150123+05:30
%A Badreddine Louhichi
%A Ahmed Toumi
%T Identification of MIMO Hammerstein models using Singular Value Decomposition approach
%J International Journal of Computer Applications
%@ 0975-8887
%V 42
%N 9
%P 29-37
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we present a new approach to identify multivariable Hammerstein systems based on the Singular Value Decomposition (SVD) method. The technique allows for the determination of the memoryless static nonlinearity as well as the estimation of the model parameters of the dynamic Auto-Regressive model with eXogenous input (ARX) part. First of all, an iteration procedure is proposed to identify the parameters of Multi-Input Multi-Output (MIMO) Hammerstein models by using the Recursive Least Squares (RLS) algorithm. Secondly, the obtained parameter estimates of the identification model include the product terms of the parameters of the original systems. So, to separate these parameters of the original parameters from the product terms, the singular value decomposition method is discussed. Finally, a simulation study is performed to demonstrate the effectiveness of the proposed method compared with the existing approaches.

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Index Terms

Computer Science
Information Sciences

Keywords

MIMO Hammerstein systems Parameter estimation Singular value decomposition method Recursive least squares algorithm Non linear systems

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