Title
A quantified approach of predicting suitability of using the Unscented Kalman Filter in a non-linear application
Abstract
A mathematical framework to predict the Unscented Kalman Filter (UKF) performance improvement relative to the Extended Kalman Filter (EKF) using a quantitative measure of non-linearity is presented. It is also shown that the range of performance improvement the UKF can attain, for a given minimum probability depends on the Non-linearity Indices of the corresponding system and measurement models. Three distinct non-linear estimation problems are examined to verify these relations. A launch vehicle trajectory estimation problem, a satellite orbit estimation problem and a re-entry vehicle position estimation problem are examined to verify these relations. Using these relations, a procedure is suggested to predict the estimation performance improvement offered by the UKF relative to the EKF for a given non-linear system and measurement without designing, implementing and tuning the two Kalman Filters.
Year
DOI
Venue
2020
10.1016/j.automatica.2020.109241
Automatica
Keywords
DocType
Volume
Estimation theory,Non-linear observer and filter design,Tracking,Extended Kalman Filter,Unscented Kalman Filter,Non-linearity
Journal
122
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Sanat K. Biswas100.34
Li Qiao2334.98
Andrew G. Dempster357771.98