Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes

In this paper, we investigate the state estimation of systems with unknown covariance non-Gaussian measurement noise. A novel improved Gaussian filter (GF) is proposed, where the maximum correntropy criterion (MCC) is used to suppress the pollution of non-Gaussian measurement noise and its covarianc...

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Main Authors: Guoqing Wang, Zhongxing Gao, Yonggang Zhang, Bin Ma
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/18/6/1960
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author Guoqing Wang
Zhongxing Gao
Yonggang Zhang
Bin Ma
author_facet Guoqing Wang
Zhongxing Gao
Yonggang Zhang
Bin Ma
author_sort Guoqing Wang
collection DOAJ
description In this paper, we investigate the state estimation of systems with unknown covariance non-Gaussian measurement noise. A novel improved Gaussian filter (GF) is proposed, where the maximum correntropy criterion (MCC) is used to suppress the pollution of non-Gaussian measurement noise and its covariance is online estimated through the variational Bayes (VB) approximation. MCC and VB are integrated through the fixed-point iteration to modify the estimated measurement noise covariance. As a general framework, the proposed algorithm is applicable to both linear and nonlinear systems with different rules being used to calculate the Gaussian integrals. Experimental results show that the proposed algorithm has better estimation accuracy than related robust and adaptive algorithms through a target tracking simulation example and the field test of an INS/DVL integrated navigation system.
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spelling doaj.art-75fe7306ee444001a6ef51fe895396d02022-12-22T04:09:49ZengMDPI AGSensors1424-82202018-06-01186196010.3390/s18061960s18061960Adaptive Maximum Correntropy Gaussian Filter Based on Variational BayesGuoqing Wang0Zhongxing Gao1Yonggang Zhang2Bin Ma3College of Automation, Harbin Engineering University, Harbin 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin 150001, ChinaChinese Ship Research and Design Center, Wuhan 430064, ChinaIn this paper, we investigate the state estimation of systems with unknown covariance non-Gaussian measurement noise. A novel improved Gaussian filter (GF) is proposed, where the maximum correntropy criterion (MCC) is used to suppress the pollution of non-Gaussian measurement noise and its covariance is online estimated through the variational Bayes (VB) approximation. MCC and VB are integrated through the fixed-point iteration to modify the estimated measurement noise covariance. As a general framework, the proposed algorithm is applicable to both linear and nonlinear systems with different rules being used to calculate the Gaussian integrals. Experimental results show that the proposed algorithm has better estimation accuracy than related robust and adaptive algorithms through a target tracking simulation example and the field test of an INS/DVL integrated navigation system.http://www.mdpi.com/1424-8220/18/6/1960Gaussian filtermaximum correntropy criterionvariational BayesKalman filter
spellingShingle Guoqing Wang
Zhongxing Gao
Yonggang Zhang
Bin Ma
Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
Sensors
Gaussian filter
maximum correntropy criterion
variational Bayes
Kalman filter
title Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
title_full Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
title_fullStr Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
title_full_unstemmed Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
title_short Adaptive Maximum Correntropy Gaussian Filter Based on Variational Bayes
title_sort adaptive maximum correntropy gaussian filter based on variational bayes
topic Gaussian filter
maximum correntropy criterion
variational Bayes
Kalman filter
url http://www.mdpi.com/1424-8220/18/6/1960
work_keys_str_mv AT guoqingwang adaptivemaximumcorrentropygaussianfilterbasedonvariationalbayes
AT zhongxinggao adaptivemaximumcorrentropygaussianfilterbasedonvariationalbayes
AT yonggangzhang adaptivemaximumcorrentropygaussianfilterbasedonvariationalbayes
AT binma adaptivemaximumcorrentropygaussianfilterbasedonvariationalbayes