Multi-Kernel Maximum Correntropy Kalman Filter

被引:16
作者
Li, Shilei [1 ]
Shi, Dawei [2 ]
Zou, Wulin [1 ,3 ]
Shi, Ling [1 ]
机构
[1] Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R China
[2] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[3] Xeno Dynam Co Ltd, Control Dept, Shenzhen 518000, Peoples R China
来源
IEEE CONTROL SYSTEMS LETTERS | 2022年 / 6卷
关键词
Kernel; Kalman filters; Bandwidth; Noise measurement; Random variables; Pollution measurement; Covariance matrices; Multi-kernel correntropy; Kalman filter; non-Gaussian noises; disturbance;
D O I
10.1109/LCSYS.2021.3114137
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Maximum correntropy criterion (MCC) has been widely used in Kalman filter to cope with heavy-tailed measurement noises. However, its performance on mitigating non-Gaussian process noises and unknown disturbance is rarely explored. In this letter, we extend the definition of correntropy from a single kernel to multiple kernels. Then, we derive a multi-kernel maximum correntropy Kalman filter (MKMCKF) to cope with multivariate non-Gaussian noises and disturbance. Three examples are provided to show the effectiveness of the proposed methods.
引用
收藏
页码:1490 / 1495
页数:6
相关论文
共 15 条
[1]   Generalized Kalman smoothing: Modeling and algorithms [J].
Aravkin, Aleksandr ;
Burke, James V. ;
Ljung, Lennart ;
Lozano, Aurelie ;
Pillonetto, Gianluigi .
AUTOMATICA, 2017, 86 :63-86
[2]   TRACKING A MANEUVERING TARGET USING INPUT ESTIMATION VERSUS THE INTERACTING MULTIPLE MODEL ALGORITHM [J].
BARSHALOM, Y ;
CHANG, KC ;
BLOM, HAP .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1989, 25 (02) :296-300
[3]   Mixture correntropy for robust learning [J].
Chen, Badong ;
Wang, Xin ;
Lu, Na ;
Wang, Shiyuan ;
Cao, Jiuwen ;
Qin, Jing .
PATTERN RECOGNITION, 2018, 79 :318-327
[4]   Maximum correntropy Kalman filter [J].
Chen, Badong ;
Liu, Xi ;
Zhao, Haiquan ;
Principe, Jose C. .
AUTOMATICA, 2017, 76 :70-77
[5]   Interacting Multiple Model Based on Maximum Correntropy Kalman Filter [J].
Fan, Xuxiang ;
Wang, Gang ;
Han, Jiachen ;
Wang, Yinghui .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (08) :3017-3021
[6]  
Goel G., 2021, ARXIV210612097
[7]  
Kang S, 2010, INT J PRECIS ENG MAN, V11, P697, DOI [10.1007/S12541-010-0082-4, 10.1007/s12541-010-0082-4]
[8]   Chandrasekhar-Based Maximum Correntropy Kalman Filtering With the Adaptive Kernel Size Selection [J].
Kulikova, Maria, V .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (02) :741-748
[9]   Correntropy: properties and applications in non-gaussian signal processing [J].
Liu, Weifeng ;
Pokharel, Puskal P. ;
Principe, Jose C. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (11) :5286-5298
[10]   Linear and Nonlinear Regression-Based Maximum Correntropy Extended Kalman Filtering [J].
Liu, Xi ;
Ren, Zhigang ;
Lyu, Hongqiang ;
Jiang, Zhihong ;
Ren, Pengju ;
Chen, Badong .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (05) :3093-3102