Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process
This paper investigates a parameter identification problem in the grinding process. Due to the data saturated phenomenon and the ill-posed of parameter identification inverse problem, this paper presents a regularized least squares recursive algorithm with a forgetting factor (RLSRAFF), the basic id...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5188389 |
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| _version_ | 1850165833335046144 |
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| author | Yang Yu Rui Deng Gang Yu Yu Wang Guodong Yang DaYong Zhao |
| author_facet | Yang Yu Rui Deng Gang Yu Yu Wang Guodong Yang DaYong Zhao |
| author_sort | Yang Yu |
| collection | DOAJ |
| description | This paper investigates a parameter identification problem in the grinding process. Due to the data saturated phenomenon and the ill-posed of parameter identification inverse problem, this paper presents a regularized least squares recursive algorithm with a forgetting factor (RLSRAFF), the basic idea of which is to combine the forgetting factor with regularization parameters. Moreover, based on RLSRAFF, this paper verifies the recursive calculation of criterion function, analyzes the effect of calculation error from the gain matrix and proves the convergence of the proposed algorithm. Finally, effectiveness of RLSRAFF is verified by simulation experiments and grinding data. Compared with other algorithms, RLSRAFF can give a more convergence rate to the real data and reduce the error from the true value. |
| format | Article |
| id | doaj-art-e1db27f82590464b848cb63c5fdf8cd9 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e1db27f82590464b848cb63c5fdf8cd92025-08-20T02:21:38ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5188389Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding ProcessYang Yu0Rui Deng1Gang Yu2Yu Wang3Guodong Yang4DaYong Zhao5School of AutomationSchool of AutomationState Key Laboratory of Process Automation in Mining and MetallurgySchool of AutomationSchool of AutomationShenyang Institute of AutomationThis paper investigates a parameter identification problem in the grinding process. Due to the data saturated phenomenon and the ill-posed of parameter identification inverse problem, this paper presents a regularized least squares recursive algorithm with a forgetting factor (RLSRAFF), the basic idea of which is to combine the forgetting factor with regularization parameters. Moreover, based on RLSRAFF, this paper verifies the recursive calculation of criterion function, analyzes the effect of calculation error from the gain matrix and proves the convergence of the proposed algorithm. Finally, effectiveness of RLSRAFF is verified by simulation experiments and grinding data. Compared with other algorithms, RLSRAFF can give a more convergence rate to the real data and reduce the error from the true value.http://dx.doi.org/10.1155/2022/5188389 |
| spellingShingle | Yang Yu Rui Deng Gang Yu Yu Wang Guodong Yang DaYong Zhao Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process Journal of Mathematics |
| title | Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process |
| title_full | Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process |
| title_fullStr | Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process |
| title_full_unstemmed | Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process |
| title_short | Regularized Least Squares Recursive Algorithm with Forgetting Factor for Identifying Parameters in the Grinding Process |
| title_sort | regularized least squares recursive algorithm with forgetting factor for identifying parameters in the grinding process |
| url | http://dx.doi.org/10.1155/2022/5188389 |
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