Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm

The swarm of small UAVs is an emerging technology that will enable abundant cooperative tasks. To tackle the positioning problem for the UAV swarm, cooperative localization (CL) has been intensively studied since it uses relative measurement to improve the positioning availability and accuracy for t...

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Main Authors: Jun Lai, Suyang Liu, Xiaojia Xiang, Chaoran Li, Dengqing Tang, Han Zhou
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/7/11/651
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author Jun Lai
Suyang Liu
Xiaojia Xiang
Chaoran Li
Dengqing Tang
Han Zhou
author_facet Jun Lai
Suyang Liu
Xiaojia Xiang
Chaoran Li
Dengqing Tang
Han Zhou
author_sort Jun Lai
collection DOAJ
description The swarm of small UAVs is an emerging technology that will enable abundant cooperative tasks. To tackle the positioning problem for the UAV swarm, cooperative localization (CL) has been intensively studied since it uses relative measurement to improve the positioning availability and accuracy for the swarm in GPS-denied environments. Besides relying on inter-UAV range measurement, traditional CL algorithms need to place anchors as location references, which limits their applicability. To implement an infrastructure-less swarm navigation system, a consumer-grade camera together with an inertial device can provide rich environment information, which can be recognized as a kind of local location reference. This paper aims to analyze the fundamental performance of visual–inertial–range CL, which is also a popular metric for UAV planning and sensing optimizing, especially for resource-limited environments. Specifically, a closed-form Fisher information matrix (FIM) of visual–inertial–range CL is constructed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mo>×</mo><mi>SO</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> manifold. By introducing an <i>equivalent FIM</i> and utilizing of the sparsity of the FIM, the performance of pose estimation can be efficiently calculated. A series of numerical simulations validate its effectiveness for analyzing the CL performance.
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spelling doaj.art-b79428b97df044fe8fd9d3d09a4a50492023-11-24T14:38:05ZengMDPI AGDrones2504-446X2023-10-0171165110.3390/drones7110651Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle SwarmJun Lai0Suyang Liu1Xiaojia Xiang2Chaoran Li3Dengqing Tang4Han Zhou5College of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaCollege of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaCollege of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaCollege of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaCollege of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaCollege of Artificial Intelligence, National University of Defense Technology, Changsha 410072, ChinaThe swarm of small UAVs is an emerging technology that will enable abundant cooperative tasks. To tackle the positioning problem for the UAV swarm, cooperative localization (CL) has been intensively studied since it uses relative measurement to improve the positioning availability and accuracy for the swarm in GPS-denied environments. Besides relying on inter-UAV range measurement, traditional CL algorithms need to place anchors as location references, which limits their applicability. To implement an infrastructure-less swarm navigation system, a consumer-grade camera together with an inertial device can provide rich environment information, which can be recognized as a kind of local location reference. This paper aims to analyze the fundamental performance of visual–inertial–range CL, which is also a popular metric for UAV planning and sensing optimizing, especially for resource-limited environments. Specifically, a closed-form Fisher information matrix (FIM) of visual–inertial–range CL is constructed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mo>×</mo><mi>SO</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> manifold. By introducing an <i>equivalent FIM</i> and utilizing of the sparsity of the FIM, the performance of pose estimation can be efficiently calculated. A series of numerical simulations validate its effectiveness for analyzing the CL performance.https://www.mdpi.com/2504-446X/7/11/651small UAV swarmcooperative localizationsimultaneous localization and mappinginfrastructure-less localizationactive sensing
spellingShingle Jun Lai
Suyang Liu
Xiaojia Xiang
Chaoran Li
Dengqing Tang
Han Zhou
Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
Drones
small UAV swarm
cooperative localization
simultaneous localization and mapping
infrastructure-less localization
active sensing
title Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
title_full Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
title_fullStr Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
title_full_unstemmed Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
title_short Performance Analysis of Visual–Inertial–Range Cooperative Localization for Unmanned Autonomous Vehicle Swarm
title_sort performance analysis of visual inertial range cooperative localization for unmanned autonomous vehicle swarm
topic small UAV swarm
cooperative localization
simultaneous localization and mapping
infrastructure-less localization
active sensing
url https://www.mdpi.com/2504-446X/7/11/651
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