Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems

This paper focuses on the identification problem of Wiener nonlinear systems. The application of the key-term separation principle provides a simplified form of the estimated parameter model. To solve the identification problem of Wiener nonlinear systems with the unmeasurable variables in the infor...

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Main Authors: Lincheng Zhou, Xiangli Li, Feng Pan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/565841
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author Lincheng Zhou
Xiangli Li
Feng Pan
author_facet Lincheng Zhou
Xiangli Li
Feng Pan
author_sort Lincheng Zhou
collection DOAJ
description This paper focuses on the identification problem of Wiener nonlinear systems. The application of the key-term separation principle provides a simplified form of the estimated parameter model. To solve the identification problem of Wiener nonlinear systems with the unmeasurable variables in the information vector, the least-squares-based iterative algorithm is presented by replacing the unmeasurable variables in the information vector with their corresponding iterative estimates. The simulation results indicate that the proposed algorithm is effective.
format Article
id doaj-art-bae7b3f3f0754fe293bf44c10a177abd
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-bae7b3f3f0754fe293bf44c10a177abd2025-02-03T06:42:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/565841565841Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear SystemsLincheng Zhou0Xiangli Li1Feng Pan2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, ChinaThis paper focuses on the identification problem of Wiener nonlinear systems. The application of the key-term separation principle provides a simplified form of the estimated parameter model. To solve the identification problem of Wiener nonlinear systems with the unmeasurable variables in the information vector, the least-squares-based iterative algorithm is presented by replacing the unmeasurable variables in the information vector with their corresponding iterative estimates. The simulation results indicate that the proposed algorithm is effective.http://dx.doi.org/10.1155/2013/565841
spellingShingle Lincheng Zhou
Xiangli Li
Feng Pan
Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
Journal of Applied Mathematics
title Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
title_full Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
title_fullStr Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
title_full_unstemmed Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
title_short Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems
title_sort least squares based iterative identification algorithm for wiener nonlinear systems
url http://dx.doi.org/10.1155/2013/565841
work_keys_str_mv AT linchengzhou leastsquaresbasediterativeidentificationalgorithmforwienernonlinearsystems
AT xianglili leastsquaresbasediterativeidentificationalgorithmforwienernonlinearsystems
AT fengpan leastsquaresbasediterativeidentificationalgorithmforwienernonlinearsystems