Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors
In order to address the issues of insufficient filtering accuracy and filtering divergence that have been observed in the Sage–Husa algorithm when applied to nonlinear system state estimation, an adaptive double forgetting factor-based Sage–Husa algorithm is proposed. This algorithm builds upon the...
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MDPI AG
2025-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/4/1731 |
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| author | Wenjuan Li Mingjing Zhan Hui Feng |
| author_facet | Wenjuan Li Mingjing Zhan Hui Feng |
| author_sort | Wenjuan Li |
| collection | DOAJ |
| description | In order to address the issues of insufficient filtering accuracy and filtering divergence that have been observed in the Sage–Husa algorithm when applied to nonlinear system state estimation, an adaptive double forgetting factor-based Sage–Husa algorithm is proposed. This algorithm builds upon the Sage–Husa algorithm with forgetting factors by introducing double forgetting factors and adaptively adjusting them using a windowing method combined with an exponential form. On the basis of ensuring the semi-positive definiteness of the process noise covariance matrix and the positive definiteness of the observation noise covariance matrix, a covariance matching technique is employed to determine whether the measurement noise statistical characteristics need to be re-updated. The results of the simulations demonstrate that the proposed algorithm enhances the accuracy of filtering and exhibits strong effectiveness and feasibility. |
| format | Article |
| id | doaj-art-012a47ab4d4e421da76b24884fc38640 |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-012a47ab4d4e421da76b24884fc386402025-08-20T03:11:04ZengMDPI AGApplied Sciences2076-34172025-02-01154173110.3390/app15041731Sage–Husa Algorithm Based on Adaptive Double Forgetting FactorsWenjuan Li0Mingjing Zhan1Hui Feng2Marine Equipment and Technology Institute, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaKey Laboratory of High Performance Ship Technology, Ministry of Education, Wuhan University of Technology, Wuhan 430063, ChinaIn order to address the issues of insufficient filtering accuracy and filtering divergence that have been observed in the Sage–Husa algorithm when applied to nonlinear system state estimation, an adaptive double forgetting factor-based Sage–Husa algorithm is proposed. This algorithm builds upon the Sage–Husa algorithm with forgetting factors by introducing double forgetting factors and adaptively adjusting them using a windowing method combined with an exponential form. On the basis of ensuring the semi-positive definiteness of the process noise covariance matrix and the positive definiteness of the observation noise covariance matrix, a covariance matching technique is employed to determine whether the measurement noise statistical characteristics need to be re-updated. The results of the simulations demonstrate that the proposed algorithm enhances the accuracy of filtering and exhibits strong effectiveness and feasibility.https://www.mdpi.com/2076-3417/15/4/1731nonlinear systemSage–Husaadaptive double forgetting factorswindowingexponential form |
| spellingShingle | Wenjuan Li Mingjing Zhan Hui Feng Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors Applied Sciences nonlinear system Sage–Husa adaptive double forgetting factors windowing exponential form |
| title | Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors |
| title_full | Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors |
| title_fullStr | Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors |
| title_full_unstemmed | Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors |
| title_short | Sage–Husa Algorithm Based on Adaptive Double Forgetting Factors |
| title_sort | sage husa algorithm based on adaptive double forgetting factors |
| topic | nonlinear system Sage–Husa adaptive double forgetting factors windowing exponential form |
| url | https://www.mdpi.com/2076-3417/15/4/1731 |
| work_keys_str_mv | AT wenjuanli sagehusaalgorithmbasedonadaptivedoubleforgettingfactors AT mingjingzhan sagehusaalgorithmbasedonadaptivedoubleforgettingfactors AT huifeng sagehusaalgorithmbasedonadaptivedoubleforgettingfactors |