Title
A new method for the nonlinear transformation of means and covariances in filters and estimators
Abstract
This paper describes a new approach for generalizing the Kalman filter to nonlinear systems. A set of samples are used to param- eterize the mean and covariance of a (not necessarily Gaussian) proba- bility distribution. The method yields a filter that is more accurate than an extended Kalman filter (EKF) and easier to implement than an EKF or a Gauss second-order filter. Its effectiveness is demonstrated using an ex- ample.
Year
DOI
Venue
2000
10.1109/9.847726
Automatic Control, IEEE Transactions
Keywords
Field
DocType
covariance matrices,discrete time systems,error analysis,estimation theory,filtering theory,missile guidance,mobile robots,nonlinear systems,probability,state estimation,Kalman filter,covariance matrix,discrete time systems,error estimation,missile tracking,mobile robots,nonlinear filters,nonlinear systems,probability distribution,state estimation
Extended Kalman filter,Alpha beta filter,Fast Kalman filter,Control theory,Unscented transform,Kernel adaptive filter,Invariant extended Kalman filter,Ensemble Kalman filter,Nonlinear filter,Mathematics
Journal
Volume
Issue
ISSN
45
3
0018-9286
Citations 
PageRank 
References 
653
75.80
1
Authors
3
Search Limit
100653
Name
Order
Citations
PageRank
Julier, S.J.11971192.03
Jeffrey K. Uhlmann22435263.94
Hugh F. Durrant-whyte368582.75