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Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level
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Zeitschriftentitel: | Journal of Physics: Conference Series |
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Personen und Körperschaften: | , , |
In: | Journal of Physics: Conference Series, 1490, 2020, 1, S. 012054 |
Format: | E-Article |
Sprache: | Unbestimmt |
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author_facet |
Estuningsih, Nenik Fatmawati Apriliani, Erna Estuningsih, Nenik Fatmawati Apriliani, Erna |
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author |
Estuningsih, Nenik Fatmawati Apriliani, Erna |
spellingShingle |
Estuningsih, Nenik Fatmawati Apriliani, Erna Journal of Physics: Conference Series Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level General Physics and Astronomy |
author_sort |
estuningsih, nenik |
spelling |
Estuningsih, Nenik Fatmawati Apriliani, Erna 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1490/1/012054 <jats:title>Abstract</jats:title> <jats:p>This paper presents the model reduction and estimation of the state variables of the water level system using the Linear Matrix Inequality (LMI) method and the Kalman filter algorithm. We assume the system is asymptotic stable, controllable and observable, then we reduce it by LMI method. The reduced system obtained is a system that remains asymptotic stable, controllable, and observable. The reduction error using LMI method is smaller than the reduction error using Balanced Truncated (BT) method and Singular Perturbation Approximation (SPA) method. Next, we implemented the Kalman filter algorithm in the original system and the system was reduced by LMI method.</jats:p> Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level Journal of Physics: Conference Series |
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10.1088/1742-6596/1490/1/012054 |
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IOP Publishing |
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Journal of Physics: Conference Series |
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title |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_unstemmed |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_full |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_fullStr |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_full_unstemmed |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_short |
Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_sort |
implementation of kalman filter algorithm on reduced models using linear matrix inequality method and its application to measurement water level |
topic |
General Physics and Astronomy |
url |
http://dx.doi.org/10.1088/1742-6596/1490/1/012054 |
publishDate |
2020 |
physical |
012054 |
description |
<jats:title>Abstract</jats:title>
<jats:p>This paper presents the model reduction and estimation of the state variables of the water level system using the Linear Matrix Inequality (LMI) method and the Kalman filter algorithm. We assume the system is asymptotic stable, controllable and observable, then we reduce it by LMI method. The reduced system obtained is a system that remains asymptotic stable, controllable, and observable. The reduction error using LMI method is smaller than the reduction error using Balanced Truncated (BT) method and Singular Perturbation Approximation (SPA) method. Next, we implemented the Kalman filter algorithm in the original system and the system was reduced by LMI method.</jats:p> |
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author | Estuningsih, Nenik, Fatmawati, Apriliani, Erna |
author_facet | Estuningsih, Nenik, Fatmawati, Apriliani, Erna, Estuningsih, Nenik, Fatmawati, Apriliani, Erna |
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container_title | Journal of Physics: Conference Series |
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description | <jats:title>Abstract</jats:title> <jats:p>This paper presents the model reduction and estimation of the state variables of the water level system using the Linear Matrix Inequality (LMI) method and the Kalman filter algorithm. We assume the system is asymptotic stable, controllable and observable, then we reduce it by LMI method. The reduced system obtained is a system that remains asymptotic stable, controllable, and observable. The reduction error using LMI method is smaller than the reduction error using Balanced Truncated (BT) method and Singular Perturbation Approximation (SPA) method. Next, we implemented the Kalman filter algorithm in the original system and the system was reduced by LMI method.</jats:p> |
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source_id | 49 |
spelling | Estuningsih, Nenik Fatmawati Apriliani, Erna 1742-6588 1742-6596 IOP Publishing General Physics and Astronomy http://dx.doi.org/10.1088/1742-6596/1490/1/012054 <jats:title>Abstract</jats:title> <jats:p>This paper presents the model reduction and estimation of the state variables of the water level system using the Linear Matrix Inequality (LMI) method and the Kalman filter algorithm. We assume the system is asymptotic stable, controllable and observable, then we reduce it by LMI method. The reduced system obtained is a system that remains asymptotic stable, controllable, and observable. The reduction error using LMI method is smaller than the reduction error using Balanced Truncated (BT) method and Singular Perturbation Approximation (SPA) method. Next, we implemented the Kalman filter algorithm in the original system and the system was reduced by LMI method.</jats:p> Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level Journal of Physics: Conference Series |
spellingShingle | Estuningsih, Nenik, Fatmawati, Apriliani, Erna, Journal of Physics: Conference Series, Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level, General Physics and Astronomy |
title | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_full | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_fullStr | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_full_unstemmed | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_short | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
title_sort | implementation of kalman filter algorithm on reduced models using linear matrix inequality method and its application to measurement water level |
title_unstemmed | Implementation of Kalman filter algorithm on reduced models using Linear Matrix Inequality method and its application to measurement water level |
topic | General Physics and Astronomy |
url | http://dx.doi.org/10.1088/1742-6596/1490/1/012054 |