The practical analysis for closed-loop system identification
As the existed theories for closed-loop system identification are very mature, and in this short note, one common closed-loopclosed-loop system is considered, then the classical prediction error identification is reviewed for closed-loop system identification. Based on above-existed results on close...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Taylor & Francis Group
2020-01-01
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Series: | Cogent Engineering |
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Online Access: | http://dx.doi.org/10.1080/23311916.2020.1796895 |
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author | Wang Jianhong Ricardo A. Ramirez-Mendoza |
author_facet | Wang Jianhong Ricardo A. Ramirez-Mendoza |
author_sort | Wang Jianhong |
collection | DOAJ |
description | As the existed theories for closed-loop system identification are very mature, and in this short note, one common closed-loopclosed-loop system is considered, then the classical prediction error identification is reviewed for closed-loop system identification. Based on above-existed results on closed-loop system identification, here we continue to do some research on closed-loop system identification from the practical perspective. It means all mathematical derivations and results, proposed here are more general than those existed results from references, and all results are more suited for the practical application. More specifically, the cost function, used to minimize with respect to the unknown parameter, is derived again to its more simplified form. The identification for the unknown plant is obtained again from the point of its usual spectral analysis estimation. After choosing one suited coefficient matrix into the explicit expression about the cost function, one optimal feedback controller or optimal control input is derived to be global minimum. Our derived spectral analysis estimation, simplified cost function, and optimal feedback controller are beneficial for embodying the relations with all input– output signal and other variables, such as the true plant, parameter estimator, spectral analysis estimation etc. Finally, one simulation example has been performed to demonstrate the effectiveness of the theories proposed in this paper. |
first_indexed | 2024-03-12T19:53:30Z |
format | Article |
id | doaj.art-f91ca38bdbd7408683b1d32da60f31ae |
institution | Directory Open Access Journal |
issn | 2331-1916 |
language | English |
last_indexed | 2024-03-12T19:53:30Z |
publishDate | 2020-01-01 |
publisher | Taylor & Francis Group |
record_format | Article |
series | Cogent Engineering |
spelling | doaj.art-f91ca38bdbd7408683b1d32da60f31ae2023-08-02T03:02:53ZengTaylor & Francis GroupCogent Engineering2331-19162020-01-017110.1080/23311916.2020.17968951796895The practical analysis for closed-loop system identificationWang Jianhong0Ricardo A. Ramirez-Mendoza1Jiangxi University of Science and TechnologyTecnologico de MonterreyAs the existed theories for closed-loop system identification are very mature, and in this short note, one common closed-loopclosed-loop system is considered, then the classical prediction error identification is reviewed for closed-loop system identification. Based on above-existed results on closed-loop system identification, here we continue to do some research on closed-loop system identification from the practical perspective. It means all mathematical derivations and results, proposed here are more general than those existed results from references, and all results are more suited for the practical application. More specifically, the cost function, used to minimize with respect to the unknown parameter, is derived again to its more simplified form. The identification for the unknown plant is obtained again from the point of its usual spectral analysis estimation. After choosing one suited coefficient matrix into the explicit expression about the cost function, one optimal feedback controller or optimal control input is derived to be global minimum. Our derived spectral analysis estimation, simplified cost function, and optimal feedback controller are beneficial for embodying the relations with all input– output signal and other variables, such as the true plant, parameter estimator, spectral analysis estimation etc. Finally, one simulation example has been performed to demonstrate the effectiveness of the theories proposed in this paper.http://dx.doi.org/10.1080/23311916.2020.1796895closed loop system identificationpractical analysisoptimal feedback controller |
spellingShingle | Wang Jianhong Ricardo A. Ramirez-Mendoza The practical analysis for closed-loop system identification Cogent Engineering closed loop system identification practical analysis optimal feedback controller |
title | The practical analysis for closed-loop system identification |
title_full | The practical analysis for closed-loop system identification |
title_fullStr | The practical analysis for closed-loop system identification |
title_full_unstemmed | The practical analysis for closed-loop system identification |
title_short | The practical analysis for closed-loop system identification |
title_sort | practical analysis for closed loop system identification |
topic | closed loop system identification practical analysis optimal feedback controller |
url | http://dx.doi.org/10.1080/23311916.2020.1796895 |
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