Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems

The identification of a class of linear-in-parameters multiple-input single-output systems is considered. By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the alg...

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Main Authors: Cheng Wang, Tao Tang, Dewang Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/673197
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author Cheng Wang
Tao Tang
Dewang Chen
author_facet Cheng Wang
Tao Tang
Dewang Chen
author_sort Cheng Wang
collection DOAJ
description The identification of a class of linear-in-parameters multiple-input single-output systems is considered. By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-c8b80aadc73b40059dee7ce7410d0d592025-02-03T05:58:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/673197673197Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error SystemsCheng Wang0Tao Tang1Dewang Chen2State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, ChinaState Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, ChinaState Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, ChinaThe identification of a class of linear-in-parameters multiple-input single-output systems is considered. By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.http://dx.doi.org/10.1155/2014/673197
spellingShingle Cheng Wang
Tao Tang
Dewang Chen
Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
Journal of Applied Mathematics
title Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
title_full Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
title_fullStr Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
title_full_unstemmed Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
title_short Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems
title_sort least squares based and gradient based iterative parameter estimation algorithms for a class of linear in parameters multiple input single output output error systems
url http://dx.doi.org/10.1155/2014/673197
work_keys_str_mv AT chengwang leastsquaresbasedandgradientbasediterativeparameterestimationalgorithmsforaclassoflinearinparametersmultipleinputsingleoutputoutputerrorsystems
AT taotang leastsquaresbasedandgradientbasediterativeparameterestimationalgorithmsforaclassoflinearinparametersmultipleinputsingleoutputoutputerrorsystems
AT dewangchen leastsquaresbasedandgradientbasediterativeparameterestimationalgorithmsforaclassoflinearinparametersmultipleinputsingleoutputoutputerrorsystems