Title
Adaptive unscented Gaussian likelihood approximation filter
Abstract
This paper focuses on the update step of Bayesian nonlinear filtering. We first derive the unscented Gaussian likelihood approximation filter (UGLAF), which provides a Gaussian approximation to the likelihood by applying the unscented transformation to the inverse of the measurement function. The UGLAF approximation is accurate in the cases where the unscented Kalman filter (UKF) is not and the other way round. As a result, we propose the adaptive UGLAF (AUGLAF), which selects the best approximation to the posterior (UKF or UGLAF) based on the Kullback-Leibler divergence. This enables AUGLAF to outperform both the UKF and UGLAF.
Year
DOI
Venue
2015
10.1016/j.automatica.2015.02.005
Automatica
Keywords
Field
DocType
Bayes’ rule,Kalman filter,Gaussian approximation,Nonlinear filtering
Inverse,Extended Kalman filter,Control theory,Kalman filter,Unscented transform,Gaussian,Ensemble Kalman filter,Mathematics,Bayesian probability,Bayes' theorem
Journal
Volume
Issue
ISSN
54
C
0005-1098
Citations 
PageRank 
References 
2
0.37
9
Authors
4
Name
Order
Citations
PageRank
Angel F. Garcia-Fernandez113118.15
Mark R. Morelande219524.96
Jesús Grajal310013.47
Lennart Svensson4274.66