Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle
Abstract This paper mainly studies the issue of fractional parameter identification of generalized bilinear-in-parameter system(GBIP) with colored noise. Hierarchical fractional least mean square algorithm based on the key term separation principle(K-HFLMS) and multi-innovation hierarchical fraction...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-83654-3 |
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| author | Yancheng Zhu Huaiyu Wu Zhihuan Chen Zhenhua Zhu Yang Chen Xiujuan Zheng |
| author_facet | Yancheng Zhu Huaiyu Wu Zhihuan Chen Zhenhua Zhu Yang Chen Xiujuan Zheng |
| author_sort | Yancheng Zhu |
| collection | DOAJ |
| description | Abstract This paper mainly studies the issue of fractional parameter identification of generalized bilinear-in-parameter system(GBIP) with colored noise. Hierarchical fractional least mean square algorithm based on the key term separation principle(K-HFLMS) and multi-innovation hierarchical fractional least mean square algorithm based on the key term separation principle (K-MHFLMS) are presented for the effective parameter estimation of GBIP system. The K-MHFLMS expands the scalar innovation into the vector innovation by making full use of the system input and output data information at each recursive step. The detailed performance analyses of the K-MHFLMS strategy are compared with the K-HFLMS algorithm for GBIP identification model based on the Fitness metrics, the mean square error metrics and the average predicted output error. The effectiveness and reliability of K-HFLMS and K-MHFLMS algorithms are further verified through the simulation experimentation under different noise variances, fractional orders and innovation lengths, and the K-MHFLMS yields faster convergence speed than the K-HFLMS by increasing the innovation length. |
| format | Article |
| id | doaj-art-288e977b5ba04dd5a39baf62440863a5 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-288e977b5ba04dd5a39baf62440863a52025-01-05T12:26:43ZengNature PortfolioScientific Reports2045-23222024-12-0114112110.1038/s41598-024-83654-3Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principleYancheng Zhu0Huaiyu Wu1Zhihuan Chen2Zhenhua Zhu3Yang Chen4Xiujuan Zheng5Engineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyEngineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyEngineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyEngineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyEngineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyEngineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education, Wuhan University of Science and TechnologyAbstract This paper mainly studies the issue of fractional parameter identification of generalized bilinear-in-parameter system(GBIP) with colored noise. Hierarchical fractional least mean square algorithm based on the key term separation principle(K-HFLMS) and multi-innovation hierarchical fractional least mean square algorithm based on the key term separation principle (K-MHFLMS) are presented for the effective parameter estimation of GBIP system. The K-MHFLMS expands the scalar innovation into the vector innovation by making full use of the system input and output data information at each recursive step. The detailed performance analyses of the K-MHFLMS strategy are compared with the K-HFLMS algorithm for GBIP identification model based on the Fitness metrics, the mean square error metrics and the average predicted output error. The effectiveness and reliability of K-HFLMS and K-MHFLMS algorithms are further verified through the simulation experimentation under different noise variances, fractional orders and innovation lengths, and the K-MHFLMS yields faster convergence speed than the K-HFLMS by increasing the innovation length.https://doi.org/10.1038/s41598-024-83654-3Generalized bilinear-in-parameter systemFractional adaptive modelKey term separation principleHierarchical identificationMulti-innovation theory |
| spellingShingle | Yancheng Zhu Huaiyu Wu Zhihuan Chen Zhenhua Zhu Yang Chen Xiujuan Zheng Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle Scientific Reports Generalized bilinear-in-parameter system Fractional adaptive model Key term separation principle Hierarchical identification Multi-innovation theory |
| title | Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle |
| title_full | Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle |
| title_fullStr | Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle |
| title_full_unstemmed | Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle |
| title_short | Design of multi-innovation hierarchical fractional adaptive algorithm for generalized bilinear-in-parameter system using the key term separation principle |
| title_sort | design of multi innovation hierarchical fractional adaptive algorithm for generalized bilinear in parameter system using the key term separation principle |
| topic | Generalized bilinear-in-parameter system Fractional adaptive model Key term separation principle Hierarchical identification Multi-innovation theory |
| url | https://doi.org/10.1038/s41598-024-83654-3 |
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