Decentralized observability with limited communication between sensors
In this paper, we study the problem of jointly retrieving the state of a dynamical system, as well as the state of the sensors deployed to estimate it. We assume that the sensors possess a simple computational unit that is capable of performing simple operations, such as retaining the current state...
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2017
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| Online Access: | http://hdl.handle.net/1721.1/110363 |
| _version_ | 1826217825294876672 |
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| author | Alexandru, Andreea B. Pequito, Sergio Pappas, George J. Jadbabaie-Moghadam, Ali |
| author2 | Massachusetts Institute of Technology. Institute for Data, Systems, and Society |
| author_facet | Massachusetts Institute of Technology. Institute for Data, Systems, and Society Alexandru, Andreea B. Pequito, Sergio Pappas, George J. Jadbabaie-Moghadam, Ali |
| author_sort | Alexandru, Andreea B. |
| collection | MIT |
| description | In this paper, we study the problem of jointly retrieving the state of a dynamical system, as well as the state of the sensors deployed to estimate it. We assume that the sensors possess a simple computational unit that is capable of performing simple operations, such as retaining the current state and model of the system in its memory. We assume the system to be observable (given all the measurements of the sensors), and we ask whether each subcollection of sensors can retrieve the state of the underlying physical system, as well as the state of the remaining sensors. To this end, we consider communication between neighboring sensors, whose adjacency is captured by a communication graph. We then propose a linear update strategy that encodes the sensor measurements as states in an augmented state space, with which we provide the solution to the problem of retrieving the system and sensor states. The present paper contains three main contributions. First, we provide necessary and sufficient conditions to ensure observability of the system and sensor states from any sensor. Second, we address the problem of adding communication between sensors when the necessary and sufficient conditions are not satisfied, and devise a strategy to this end. Third, we extend the former case to include different costs of communication between sensors. Finally, the concepts defined and the method proposed are used to assess the state of an example of approximate structural brain dynamics through linearized measurements. |
| first_indexed | 2024-09-23T17:09:44Z |
| format | Article |
| id | mit-1721.1/110363 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:09:44Z |
| publishDate | 2017 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1103632022-10-03T10:51:52Z Decentralized observability with limited communication between sensors Alexandru, Andreea B. Pequito, Sergio Pappas, George J. Jadbabaie-Moghadam, Ali Massachusetts Institute of Technology. Institute for Data, Systems, and Society Jadbabaie-Moghadam, Ali In this paper, we study the problem of jointly retrieving the state of a dynamical system, as well as the state of the sensors deployed to estimate it. We assume that the sensors possess a simple computational unit that is capable of performing simple operations, such as retaining the current state and model of the system in its memory. We assume the system to be observable (given all the measurements of the sensors), and we ask whether each subcollection of sensors can retrieve the state of the underlying physical system, as well as the state of the remaining sensors. To this end, we consider communication between neighboring sensors, whose adjacency is captured by a communication graph. We then propose a linear update strategy that encodes the sensor measurements as states in an augmented state space, with which we provide the solution to the problem of retrieving the system and sensor states. The present paper contains three main contributions. First, we provide necessary and sufficient conditions to ensure observability of the system and sensor states from any sensor. Second, we address the problem of adding communication between sensors when the necessary and sufficient conditions are not satisfied, and devise a strategy to this end. Third, we extend the former case to include different costs of communication between sensors. Finally, the concepts defined and the method proposed are used to assess the state of an example of approximate structural brain dynamics through linearized measurements. 2017-06-28T19:59:53Z 2017-06-28T19:59:53Z 2016-12 2016-12 Article http://purl.org/eprint/type/ConferencePaper 978-1-5090-1837-6 978-1-5090-1838-3 http://hdl.handle.net/1721.1/110363 Alexandru, Andreea B.; Pequito, Sergio; Jadbabaie, Ali and Pappas, George J. “Decentralized Observability with Limited Communication Between Sensors.” 2016 IEEE 55th Conference on Decision and Control (CDC), December 2016, Las Vegas, Nevada, USA, Institute of Electrical and Electronics Engineers (IEEE), December 2016. en_US http://dx.doi.org/10.1109/CDC.2016.7798379 2016 IEEE 55th Conference on Decision and Control (CDC) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Alexandru, Andreea B. Pequito, Sergio Pappas, George J. Jadbabaie-Moghadam, Ali Decentralized observability with limited communication between sensors |
| title | Decentralized observability with limited communication between sensors |
| title_full | Decentralized observability with limited communication between sensors |
| title_fullStr | Decentralized observability with limited communication between sensors |
| title_full_unstemmed | Decentralized observability with limited communication between sensors |
| title_short | Decentralized observability with limited communication between sensors |
| title_sort | decentralized observability with limited communication between sensors |
| url | http://hdl.handle.net/1721.1/110363 |
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