Fault-tolerant relative navigation based on Kullback–Leibler divergence

A fault-detection method for relative navigation based on Kullback–Leibler divergence (KLD) is proposed. Different from the traditional χ 2 -based approaches, the KLD for a filter is following a hybrid distribution that combines χ 2 distribution and F -distribution. Using extended Kalman filter (EKF...

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Main Authors: Jun Xiong, Joon Wayn Cheong, Zhi Xiong, Andrew G Dempster, Shiwei Tian, Rong Wang, Jianye Liu
Format: Article
Language:English
Published: SAGE Publishing 2020-12-01
Series:International Journal of Advanced Robotic Systems
Online Access:https://doi.org/10.1177/1729881420979125
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author Jun Xiong
Joon Wayn Cheong
Zhi Xiong
Andrew G Dempster
Shiwei Tian
Rong Wang
Jianye Liu
author_facet Jun Xiong
Joon Wayn Cheong
Zhi Xiong
Andrew G Dempster
Shiwei Tian
Rong Wang
Jianye Liu
author_sort Jun Xiong
collection DOAJ
description A fault-detection method for relative navigation based on Kullback–Leibler divergence (KLD) is proposed. Different from the traditional χ 2 -based approaches, the KLD for a filter is following a hybrid distribution that combines χ 2 distribution and F -distribution. Using extended Kalman filter (EKF) as the estimator, the distance between the priori and posteriori data of EKF is calculated to detect the abnormal measurements. After fault detection step, a fault exclusion method is applied to remove the error observations from the fusion procedure. The proposed method is suitable for the Kalman filter-based multisensor relative navigation system. Simulation and experimental results show that the proposed method can detect the abnormal measurement successfully, and its positioning accuracy after fault detection and exclusion outperforms the traditional χ 2 -based method.
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spelling doaj.art-81caf60ce8704d37975cb10737d8935b2022-12-21T22:33:47ZengSAGE PublishingInternational Journal of Advanced Robotic Systems1729-88142020-12-011710.1177/1729881420979125Fault-tolerant relative navigation based on Kullback–Leibler divergenceJun Xiong0Joon Wayn Cheong1Zhi Xiong2Andrew G Dempster3Shiwei Tian4Rong Wang5Jianye Liu6 College of Automation Engineering, , Jiangning, Nanjing, China School of Electrical Engineering and Telecommunications, , Sydney, Australia College of Automation Engineering, , Jiangning, Nanjing, China School of Electrical Engineering and Telecommunications, , Sydney, Australia College of Communications Engineering, Army Engineering University, Nanjing, China College of Automation Engineering, , Jiangning, Nanjing, China College of Automation Engineering, , Jiangning, Nanjing, ChinaA fault-detection method for relative navigation based on Kullback–Leibler divergence (KLD) is proposed. Different from the traditional χ 2 -based approaches, the KLD for a filter is following a hybrid distribution that combines χ 2 distribution and F -distribution. Using extended Kalman filter (EKF) as the estimator, the distance between the priori and posteriori data of EKF is calculated to detect the abnormal measurements. After fault detection step, a fault exclusion method is applied to remove the error observations from the fusion procedure. The proposed method is suitable for the Kalman filter-based multisensor relative navigation system. Simulation and experimental results show that the proposed method can detect the abnormal measurement successfully, and its positioning accuracy after fault detection and exclusion outperforms the traditional χ 2 -based method.https://doi.org/10.1177/1729881420979125
spellingShingle Jun Xiong
Joon Wayn Cheong
Zhi Xiong
Andrew G Dempster
Shiwei Tian
Rong Wang
Jianye Liu
Fault-tolerant relative navigation based on Kullback–Leibler divergence
International Journal of Advanced Robotic Systems
title Fault-tolerant relative navigation based on Kullback–Leibler divergence
title_full Fault-tolerant relative navigation based on Kullback–Leibler divergence
title_fullStr Fault-tolerant relative navigation based on Kullback–Leibler divergence
title_full_unstemmed Fault-tolerant relative navigation based on Kullback–Leibler divergence
title_short Fault-tolerant relative navigation based on Kullback–Leibler divergence
title_sort fault tolerant relative navigation based on kullback leibler divergence
url https://doi.org/10.1177/1729881420979125
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