The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line
The article presents the algorithm that enables adaptive determination of the amplification coefficient in the filter equation provided by Kalman. The method makes use of an estimation error, which was defined for this purpose, and its derivative to determine the direction of correction changes of t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-03-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/119512/art06.pdf |
| _version_ | 1818157110616129536 |
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| author | Tadeusz Kwater Przemysław Hawro Jacek Bartman Damian Mazur |
| author_facet | Tadeusz Kwater Przemysław Hawro Jacek Bartman Damian Mazur |
| author_sort | Tadeusz Kwater |
| collection | DOAJ |
| description | The article presents the algorithm that enables adaptive determination of the amplification coefficient in the filter equation provided by Kalman. The method makes use of an estimation error, which was defined for this purpose, and its derivative to determine the direction of correction changes of the gain vector. This eliminates the necessity to solve Riccati equation, which causes reduction of the method computational complexity. The experimental studies carried out using the proposed approach relate to the estimation of state coordinates describing river pollution using the BOD (biochemical oxygen demand) and DO (dissolved oxygen) indicators).The acquired results indicate that the suggested method does better estimations than the Kalman filter. Two indicators were used to measure the quality of estimates: the Root Mean Squared Error (RMSE) and the Mean Percentage Error (MPE). |
| first_indexed | 2024-12-11T15:08:59Z |
| format | Article |
| id | doaj.art-5746366891914416868664d39385ac35 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-12-11T15:08:59Z |
| publishDate | 2021-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-5746366891914416868664d39385ac352022-12-22T01:00:48ZengPolish Academy of SciencesArchives of Control Sciences1230-23842021-03-01vol. 31No 1129143https://doi.org/10.24425/acs.2021.136883The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-lineTadeusz Kwater0Przemysław Hawro1Jacek Bartman2Damian Mazur3Institute of Technical Engineering, The State University of Technology and Economics in Jaroslaw, Czarnieckiego 16, 37-500 Jaroslaw, PolandInstitute of Technical Engineering, The State University of Technology and Economics in Jaroslaw, Czarnieckiego 16, 37-500 Jaroslaw, PolandFaculty of Natural Sciences, University of Rzeszow, Pigonia 1, 35-959 Rzeszów, PolandFaculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Pola 2, PolandThe article presents the algorithm that enables adaptive determination of the amplification coefficient in the filter equation provided by Kalman. The method makes use of an estimation error, which was defined for this purpose, and its derivative to determine the direction of correction changes of the gain vector. This eliminates the necessity to solve Riccati equation, which causes reduction of the method computational complexity. The experimental studies carried out using the proposed approach relate to the estimation of state coordinates describing river pollution using the BOD (biochemical oxygen demand) and DO (dissolved oxygen) indicators).The acquired results indicate that the suggested method does better estimations than the Kalman filter. Two indicators were used to measure the quality of estimates: the Root Mean Squared Error (RMSE) and the Mean Percentage Error (MPE).https://journals.pan.pl/Content/119512/art06.pdfestimationkalman filteradaptive pd filterfilter amplification |
| spellingShingle | Tadeusz Kwater Przemysław Hawro Jacek Bartman Damian Mazur The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line Archives of Control Sciences estimation kalman filter adaptive pd filter filter amplification |
| title | The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line |
| title_full | The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line |
| title_fullStr | The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line |
| title_full_unstemmed | The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line |
| title_short | The algorithm of adaptive determination of amplification of the PD filter estimating object state on the basis of signal measurable on-line |
| title_sort | algorithm of adaptive determination of amplification of the pd filter estimating object state on the basis of signal measurable on line |
| topic | estimation kalman filter adaptive pd filter filter amplification |
| url | https://journals.pan.pl/Content/119512/art06.pdf |
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