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Adaptive maximum mixture correntropy quaternion Kalman filter and its application
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Guoqing WANG, Xin ZHAO, Qin WANG, Chunyu YANG, Lei MA
Journal of Chinese Inertial Technology | 2025, 33(10) : 988 - 997
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Journal of Chinese Inertial Technology | 2025, 33(10): 988-997
Integrated Navigation Technology
Adaptive maximum mixture correntropy quaternion Kalman filter and its application
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Guoqing WANG, Xin ZHAO, Qin WANG, Chunyu YANG, Lei MA
Affiliations
  • School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
Published: 2025-10-30 doi: 10.13695/j.cnki.12-1222/o3.2025.10.005
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To address the accuracy degradation of the Kalman filter (KF) algorithm defined in quaternion space under non-Gaussian noise, the advantages of mixture correntropy is utilized to handle such problem. A recursive quaternion mixture correntropy cost function is defined and the posterior estimation through fixed-point iteration is obtained, resulting in the maximum mixture correntropy quaternion KF (MMCQKF) algorithm. Additionally, the variational Bayesian method is introduced to adaptively update the nominal measurement noise variance matrix, leading to the adaptive MMCQKF, which further improves state estimation accuracy in complex scenarios. Simulation results for target tracking in challenging noise environments show that the root mean square error of position estimation using the proposed algorithm is reduced by approximately 53.2% compared to the maximum correntropy quaternion KF. Furthermore, integrated navigation experiments conducted in complex non-Gaussian noise environments reveal that the error in attitude angle, velocity, and position achieved by the proposed algorithm are reduced by 70.6%, 59.1% and 73.1%, respectively, compared to the maximum correntropy quaternion KF. Experiments demonstrate the significant improvement in estimation accuracy and adaptive capability of the proposed algorithm.

maximum mixture correntropy  /  quaternion Kalman filter  /  non-Gaussian noise  /  variational Bayesian  /  integrated navigation
Guoqing WANG, Xin ZHAO, Qin WANG, Chunyu YANG, Lei MA. Adaptive maximum mixture correntropy quaternion Kalman filter and its application[J]. Journal of Chinese Inertial Technology, 2025 , 33 (10) : 988 -997 . DOI: 10.13695/j.cnki.12-1222/o3.2025.10.005
Year 2025 volume 33 Issue 10
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doi: 10.13695/j.cnki.12-1222/o3.2025.10.005
  • Receive Date:2024-12-14
  • Online Date:2026-03-27
  • Published:2025-10-30
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  • Received:2024-12-14
  • Accepted:2025-07-11
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    School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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