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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 |
id | doaj-art-c8b80aadc73b40059dee7ce7410d0d59 |
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 |