Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter

The Gaussian mixture filter can solve the non-Gaussian problem of target tracking in complex environment by the multimode approximation method, but the weights of the Gaussian component of the conventional Gaussian mixture filter are only updated with the arrival of the measurement value in the meas...

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Main Authors: Hongjian Wang, Ying Wang, Cun Li, Juan Li, Qing Li, Xicheng Ban
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/7828050
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author Hongjian Wang
Ying Wang
Cun Li
Juan Li
Qing Li
Xicheng Ban
author_facet Hongjian Wang
Ying Wang
Cun Li
Juan Li
Qing Li
Xicheng Ban
author_sort Hongjian Wang
collection DOAJ
description The Gaussian mixture filter can solve the non-Gaussian problem of target tracking in complex environment by the multimode approximation method, but the weights of the Gaussian component of the conventional Gaussian mixture filter are only updated with the arrival of the measurement value in the measurement update stage. When the nonlinear degree of the system is high or the measurement value is missing, the weight of the Gauss component remains unchanged, and the probability density function of the system state cannot be accurately approximated. To solve this problem, this paper proposes an algorithm to update adaptive weights for the Gaussian components of a Gaussian mixture cubature Kalman filter (CKF) in the time update stage. The proposed method approximates the non-Gaussian noise by splitting the system state, process noise, and observation noise into several Gaussian components and updates the weight of the Gaussian components in the time update stage. The method contributes to obtaining a better approximation of the posterior probability density function, which is constrained by the substantial uncertainty associated with the measurements or ambiguity in the model. The estimation accuracy of the proposed algorithm was analyzed using a Taylor expansion. A series of extensive trials was performed to assess the estimation precision corresponding to various algorithms. The results based on the data pertaining to the lake trial of an unmanned underwater vehicle (UUV) demonstrated the superiority of the proposed algorithm in terms of its better accuracy and stability compared to those of conventional tracking algorithms, along with the associated reasonable computational time that could satisfy real-time tracking requirements.
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id doaj-art-01cd19ff9ecd45df8a6d149fd2ed9d7d
institution Kabale University
issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-01cd19ff9ecd45df8a6d149fd2ed9d7d2025-02-03T06:05:12ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/78280507828050Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman FilterHongjian Wang0Ying Wang1Cun Li2Juan Li3Qing Li4Xicheng Ban5Automation College, Harbin Engineering University, Harbin 150001, ChinaAutomation College, Harbin Engineering University, Harbin 150001, ChinaChina Electronics Technology Instruments Co. Ltd., Qingdao 266000, ChinaAutomation College, Harbin Engineering University, Harbin 150001, ChinaAutomation College, Harbin Engineering University, Harbin 150001, ChinaAutomation College, Harbin Engineering University, Harbin 150001, ChinaThe Gaussian mixture filter can solve the non-Gaussian problem of target tracking in complex environment by the multimode approximation method, but the weights of the Gaussian component of the conventional Gaussian mixture filter are only updated with the arrival of the measurement value in the measurement update stage. When the nonlinear degree of the system is high or the measurement value is missing, the weight of the Gauss component remains unchanged, and the probability density function of the system state cannot be accurately approximated. To solve this problem, this paper proposes an algorithm to update adaptive weights for the Gaussian components of a Gaussian mixture cubature Kalman filter (CKF) in the time update stage. The proposed method approximates the non-Gaussian noise by splitting the system state, process noise, and observation noise into several Gaussian components and updates the weight of the Gaussian components in the time update stage. The method contributes to obtaining a better approximation of the posterior probability density function, which is constrained by the substantial uncertainty associated with the measurements or ambiguity in the model. The estimation accuracy of the proposed algorithm was analyzed using a Taylor expansion. A series of extensive trials was performed to assess the estimation precision corresponding to various algorithms. The results based on the data pertaining to the lake trial of an unmanned underwater vehicle (UUV) demonstrated the superiority of the proposed algorithm in terms of its better accuracy and stability compared to those of conventional tracking algorithms, along with the associated reasonable computational time that could satisfy real-time tracking requirements.http://dx.doi.org/10.1155/2020/7828050
spellingShingle Hongjian Wang
Ying Wang
Cun Li
Juan Li
Qing Li
Xicheng Ban
Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
Complexity
title Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
title_full Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
title_fullStr Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
title_full_unstemmed Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
title_short Adaptive Weight Update Algorithm for Target Tracking of UUV Based on Improved Gaussian Mixture Cubature Kalman Filter
title_sort adaptive weight update algorithm for target tracking of uuv based on improved gaussian mixture cubature kalman filter
url http://dx.doi.org/10.1155/2020/7828050
work_keys_str_mv AT hongjianwang adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter
AT yingwang adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter
AT cunli adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter
AT juanli adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter
AT qingli adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter
AT xichengban adaptiveweightupdatealgorithmfortargettrackingofuuvbasedonimprovedgaussianmixturecubaturekalmanfilter