Distributed Observers for State Omniscience with Stochastic Communication Noises
The focus of this paper is on solving the state estimation problem for general continuous-time linear systems through the use of distributed networked observers. To better reflect the communication environment, stochastic noises are considered when observers exchange information. In the networked ob...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/9/1997 |
| _version_ | 1797602168824397824 |
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| author | Kairui Chen Zhangmou Zhu Xianxian Zeng Junwei Wang |
| author_facet | Kairui Chen Zhangmou Zhu Xianxian Zeng Junwei Wang |
| author_sort | Kairui Chen |
| collection | DOAJ |
| description | The focus of this paper is on solving the state estimation problem for general continuous-time linear systems through the use of distributed networked observers. To better reflect the communication environment, stochastic noises are considered when observers exchange information. In the networked observers, each local observer measures only part of the system output, and the state estimation can not be accomplished within a single observer. Then, all observers communicate through a pre-specified graph to make up information in the remaining system output. By solving a parametric algebraic Riccati equation (ARE), a simple method to calculate parameters in the observers is proposed. Furthermore, using the stability theory of stochastic differential equations, state omniscience is discussed in almost sure sense and in the mean square sense for the cases of state-dependent noises and non-state-dependent noises, respectively. It is shown that, for observable linear systems, the resulting observers work in a coordinated mode to reach state omniscience under the connected graph. Illustrative examples are provided to show the effectiveness of the distributed observers. |
| first_indexed | 2024-03-11T04:13:14Z |
| format | Article |
| id | doaj.art-730b1c8933484be69484eb1a8e5ea888 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T04:13:14Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-730b1c8933484be69484eb1a8e5ea8882023-11-17T23:18:39ZengMDPI AGMathematics2227-73902023-04-01119199710.3390/math11091997Distributed Observers for State Omniscience with Stochastic Communication NoisesKairui Chen0Zhangmou Zhu1Xianxian Zeng2Junwei Wang3School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510000, ChinaSchool of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaThe focus of this paper is on solving the state estimation problem for general continuous-time linear systems through the use of distributed networked observers. To better reflect the communication environment, stochastic noises are considered when observers exchange information. In the networked observers, each local observer measures only part of the system output, and the state estimation can not be accomplished within a single observer. Then, all observers communicate through a pre-specified graph to make up information in the remaining system output. By solving a parametric algebraic Riccati equation (ARE), a simple method to calculate parameters in the observers is proposed. Furthermore, using the stability theory of stochastic differential equations, state omniscience is discussed in almost sure sense and in the mean square sense for the cases of state-dependent noises and non-state-dependent noises, respectively. It is shown that, for observable linear systems, the resulting observers work in a coordinated mode to reach state omniscience under the connected graph. Illustrative examples are provided to show the effectiveness of the distributed observers.https://www.mdpi.com/2227-7390/11/9/1997state estimationdistributed observercommunication noisesalgebraic Riccati equation |
| spellingShingle | Kairui Chen Zhangmou Zhu Xianxian Zeng Junwei Wang Distributed Observers for State Omniscience with Stochastic Communication Noises Mathematics state estimation distributed observer communication noises algebraic Riccati equation |
| title | Distributed Observers for State Omniscience with Stochastic Communication Noises |
| title_full | Distributed Observers for State Omniscience with Stochastic Communication Noises |
| title_fullStr | Distributed Observers for State Omniscience with Stochastic Communication Noises |
| title_full_unstemmed | Distributed Observers for State Omniscience with Stochastic Communication Noises |
| title_short | Distributed Observers for State Omniscience with Stochastic Communication Noises |
| title_sort | distributed observers for state omniscience with stochastic communication noises |
| topic | state estimation distributed observer communication noises algebraic Riccati equation |
| url | https://www.mdpi.com/2227-7390/11/9/1997 |
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