A Bayesian approach to distributed optimal filtering over a ring network
This paper is concerned with the state estimation over a sensor network. Distributed estimation algorithms enable us to estimate the system state using the information from other sensors, even when the state is not completely observable from some sensors. The extension of the Kalman filter to the di...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-12-01
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| Series: | Measurement: Sensors |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2665917421001860 |
| _version_ | 1818436395633475584 |
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| author | Akihiro Tsuji Asuka Ohashi Kiyotsugu Takaba |
| author_facet | Akihiro Tsuji Asuka Ohashi Kiyotsugu Takaba |
| author_sort | Akihiro Tsuji |
| collection | DOAJ |
| description | This paper is concerned with the state estimation over a sensor network. Distributed estimation algorithms enable us to estimate the system state using the information from other sensors, even when the state is not completely observable from some sensors. The extension of the Kalman filter to the distributed case has been actively studied for the last decade. Many of the previous distributed Kalman filtering algorithms were proposed by incorporating a consensus control in the observer structure. However, these methods do not guarantee the optimality of the state estimates, and it turns out that their estimation accuracy will be significantly deteriorated even for a very simple network topology. To overcome this difficulty, we formulate the distributed state estimation problem based on the Bayesian inference. Then, we derive the optimal distributed estimation algorithm for a sensor network with the ring topology. The effectiveness of the proposed algorithm is also investigated by numerical experiments. |
| first_indexed | 2024-12-14T17:08:06Z |
| format | Article |
| id | doaj.art-0e6a713dc7f745ad86563dace4499107 |
| institution | Directory Open Access Journal |
| issn | 2665-9174 |
| language | English |
| last_indexed | 2024-12-14T17:08:06Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Measurement: Sensors |
| spelling | doaj.art-0e6a713dc7f745ad86563dace44991072022-12-21T22:53:41ZengElsevierMeasurement: Sensors2665-91742021-12-0118100223A Bayesian approach to distributed optimal filtering over a ring networkAkihiro Tsuji0Asuka Ohashi1Kiyotsugu Takaba2Ritsumeikan University (Department of Electrical and Electronic Engineering), Kusatsu, JapanNational Institute of Technology Kagawa College, Kagawa, JapanCorresponding author.; Ritsumeikan University (Department of Electrical and Electronic Engineering), Kusatsu, JapanThis paper is concerned with the state estimation over a sensor network. Distributed estimation algorithms enable us to estimate the system state using the information from other sensors, even when the state is not completely observable from some sensors. The extension of the Kalman filter to the distributed case has been actively studied for the last decade. Many of the previous distributed Kalman filtering algorithms were proposed by incorporating a consensus control in the observer structure. However, these methods do not guarantee the optimality of the state estimates, and it turns out that their estimation accuracy will be significantly deteriorated even for a very simple network topology. To overcome this difficulty, we formulate the distributed state estimation problem based on the Bayesian inference. Then, we derive the optimal distributed estimation algorithm for a sensor network with the ring topology. The effectiveness of the proposed algorithm is also investigated by numerical experiments.http://www.sciencedirect.com/science/article/pii/S2665917421001860Distributed state estimationSensor networkBayesian inferenceKalman filter |
| spellingShingle | Akihiro Tsuji Asuka Ohashi Kiyotsugu Takaba A Bayesian approach to distributed optimal filtering over a ring network Measurement: Sensors Distributed state estimation Sensor network Bayesian inference Kalman filter |
| title | A Bayesian approach to distributed optimal filtering over a ring network |
| title_full | A Bayesian approach to distributed optimal filtering over a ring network |
| title_fullStr | A Bayesian approach to distributed optimal filtering over a ring network |
| title_full_unstemmed | A Bayesian approach to distributed optimal filtering over a ring network |
| title_short | A Bayesian approach to distributed optimal filtering over a ring network |
| title_sort | bayesian approach to distributed optimal filtering over a ring network |
| topic | Distributed state estimation Sensor network Bayesian inference Kalman filter |
| url | http://www.sciencedirect.com/science/article/pii/S2665917421001860 |
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