Title
Robust Extended Kalman Filtering Via Krein Space Estimation
Abstract
A new robust extended Kalman filter is proposed for the discrete-time nonlinear systems with norm-bounded parameter uncertainties. After linearization of the nonlinear systems, the uncertainties described by the energy bounded constraint can be converted into an indefinite quadratic cost function to be minimized. The solution to the minimization problem is given by the extended Kalman filter derived in a Krein space, which leads to a robust version of the extended Kalman filter. Since the resulting robust filter has the same structure as a standard extended Kalman filter, the proposed filter can be readily designed by simply including the uncertainty terms in its formulas. The results of simulations are presented to demonstrate that the proposed filter achieves the robustness against parameter variation and performs better than the standard extended Kalman filter.
Year
Venue
Keywords
2004
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
discrete-time nonlinear system, robust Kalman fitter, extended Kalman filter, parameter uncertainty, Krein space
Field
DocType
Volume
Extended Kalman filter,Alpha beta filter,Fast Kalman filter,Control theory,Discrete time nonlinear systems,Moving horizon estimation,Kalman filter,Invariant extended Kalman filter,Ensemble Kalman filter,Mathematics
Journal
E87A
Issue
ISSN
Citations 
1
1745-1337
1
PageRank 
References 
Authors
0.38
0
5
Name
Order
Citations
PageRank
Tae-Hoon Lee1819.43
Won-Sang Ra2234.94
Seung Hee Jin310.72
Tae Sung Yoon4207.54
Jin Bae Park51351102.77