Title
Maximum Correntropy Kalman Filter With State Constraints.
Abstract
For linear systems, the original Kalman filter under the minimum mean square error (MMSE) criterion is an optimal filter under a Gaussian assumption. However, when the signals follow non-Gaussian distributions, the performance of this filter deteriorates significantly. An efficient way to solve this problem is to use the maximum correntropy criterion (MCC) instead of the MMSE criterion to develop the filters. In a recent work, the maximum correntropy Kalman filter (MCKF) was derived. The MCKF performs very well in filtering heavy-tailed non-Gaussian noise, and its performance can be further improved when some prior information about the system is available (e.g., the system states satisfy some equality constraints). In this paper, to address the problem of state estimation under equality constraints, we develop a new filter, called the MCKF with state constraints, which combines the advantages of the MCC and constrained estimation technology. The performance of the new algorithm is confirmed with two illustrative examples.
Year
DOI
Venue
2017
10.1109/ACCESS.2017.2769965
IEEE ACCESS
Keywords
Field
DocType
Kalman filter,robust estimation,maximum correntropy criterion (MCC),state constraints
Computer science,Artificial intelligence,Ensemble Kalman filter,Invariant extended Kalman filter,Distributed computing,Extended Kalman filter,Pattern recognition,Fast Kalman filter,Minimum mean square error,Algorithm,Filter (signal processing),Kalman filter,Gaussian
Journal
Volume
ISSN
Citations 
5
2169-3536
3
PageRank 
References 
Authors
0.41
17
5
Name
Order
Citations
PageRank
Xi Liu112220.80
Badong Chen291965.71
Haiquan Zhao388664.79
Jing Qin4110995.43
Jiuwen Cao5264.91