Bearing-only distributed localization: a unified barycentric approach

This paper studies the distributed localization problem of d-dimensional (d=2,3) sensor networks using local bearing measurements. Firstly, a distributed algorithm for computing barycentric coordinates in both 2-D and 3-D sensor networks is proposed where only local bearing measurements are required...

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Main Authors: Cao, Kun, Han, Zhimin, Lin, Zhiyun, Xie, Lihua
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/159356
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author Cao, Kun
Han, Zhimin
Lin, Zhiyun
Xie, Lihua
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Cao, Kun
Han, Zhimin
Lin, Zhiyun
Xie, Lihua
author_sort Cao, Kun
collection NTU
description This paper studies the distributed localization problem of d-dimensional (d=2,3) sensor networks using local bearing measurements. Firstly, a distributed algorithm for computing barycentric coordinates in both 2-D and 3-D sensor networks is proposed where only local bearing measurements are required. Secondly, some necessary and/or sufficient conditions for the localizability of sensor networks, which are related to the rank of a matrix constructed from the barycentric coordinates, are provided. Thirdly, given position knowledge of at least d+1 anchors, a distributed iterative algorithm is presented such that all the sensor nodes can localize themselves cooperatively in the global coordinate system via local bidirectional communications. Some illustrative simulations are provided to demonstrate the effectiveness of our theoretic analysis.
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spelling ntu-10356/1593562022-06-16T02:52:36Z Bearing-only distributed localization: a unified barycentric approach Cao, Kun Han, Zhimin Lin, Zhiyun Xie, Lihua School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Distributed Localization Local Bearing Measurements This paper studies the distributed localization problem of d-dimensional (d=2,3) sensor networks using local bearing measurements. Firstly, a distributed algorithm for computing barycentric coordinates in both 2-D and 3-D sensor networks is proposed where only local bearing measurements are required. Secondly, some necessary and/or sufficient conditions for the localizability of sensor networks, which are related to the rank of a matrix constructed from the barycentric coordinates, are provided. Thirdly, given position knowledge of at least d+1 anchors, a distributed iterative algorithm is presented such that all the sensor nodes can localize themselves cooperatively in the global coordinate system via local bidirectional communications. Some illustrative simulations are provided to demonstrate the effectiveness of our theoretic analysis. Nanyang Technological University National Research Foundation (NRF) This work was partially supported by the ST Engineering-NTU Corporate Laboratory through the NRF Corporate Laboratory@University Scheme, Projects of Major International (Regional) Joint Research Program NSFC (Grant No. 61720106011), and the National Natural Science Foundation of China (Grant No. 61903112). 2022-06-16T02:52:36Z 2022-06-16T02:52:36Z 2021 Journal Article Cao, K., Han, Z., Lin, Z. & Xie, L. (2021). Bearing-only distributed localization: a unified barycentric approach. Automatica, 133, 109834-. https://dx.doi.org/10.1016/j.automatica.2021.109834 0005-1098 https://hdl.handle.net/10356/159356 10.1016/j.automatica.2021.109834 2-s2.0-85112513918 133 109834 en 61720106011 Automatica © 2021 Elsevier Ltd. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Distributed Localization
Local Bearing Measurements
Cao, Kun
Han, Zhimin
Lin, Zhiyun
Xie, Lihua
Bearing-only distributed localization: a unified barycentric approach
title Bearing-only distributed localization: a unified barycentric approach
title_full Bearing-only distributed localization: a unified barycentric approach
title_fullStr Bearing-only distributed localization: a unified barycentric approach
title_full_unstemmed Bearing-only distributed localization: a unified barycentric approach
title_short Bearing-only distributed localization: a unified barycentric approach
title_sort bearing only distributed localization a unified barycentric approach
topic Engineering::Electrical and electronic engineering
Distributed Localization
Local Bearing Measurements
url https://hdl.handle.net/10356/159356
work_keys_str_mv AT caokun bearingonlydistributedlocalizationaunifiedbarycentricapproach
AT hanzhimin bearingonlydistributedlocalizationaunifiedbarycentricapproach
AT linzhiyun bearingonlydistributedlocalizationaunifiedbarycentricapproach
AT xielihua bearingonlydistributedlocalizationaunifiedbarycentricapproach