Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems

L Ljung - IEEE Transactions on Automatic Control, 1979 - ieeexplore.ieee.org
… , among which perhaps the extended Kalman filter (EKF) is the best… and on the use of linear
estimation theory (the Kalman filter). … improved asymptotic convergence properties of the EKF …

Convergence properties of a decentralized Kalman filter

M Kamgarpour, C Tomlin - 2008 47th IEEE Conference on …, 2008 - ieeexplore.ieee.org
… For the Kalman filter application, we consider a dynamic consensus algorithm that will
guarantee the local estimates, νi k, asymptotically converge to the summation of the steady-state …

Three examples of the stability properties of the invariant extended Kalman filter

A Barrau, S Bonnabel - IFAC-PapersOnLine, 2017 - Elsevier
extended Kalman filter (IEKF), when used as a nonlinear observer, possesses local convergence
properties … ), (25) is an asymptotically stable observer as long as all the eigenvalues of …

Convergence analysis of the extended Kalman filter used as an observer for nonlinear deterministic discrete-time systems

M Boutayeb, H Rafaralahy… - IEEE transactions on …, 1997 - ieeexplore.ieee.org
… Let us recall this property, which will be partly investigated in our developments. Under (43),
if … Ljung, “Asymptotic behavior of the extended Kalman filter as a parameter estimator for …

Convergence and consistency analysis for extended Kalman filter based SLAM

S Huang, G Dissanayake - IEEE Transactions on robotics, 2007 - ieeexplore.ieee.org
… Dissanayakeet al. provided convergence properties of SLAM … Kim [4] provided some further
analysis on the asymptotic … In this paper, the convergence properties and inconsistency …

The extended Kalman filter as a local asymptotic observer for nonlinear discrete-time systems

Y Song, JW Grizzle - 1992 American control conference, 1992 - ieeexplore.ieee.org
… Abstract The convergence aspects of the extended Kalman filter, when used as a determinic
properties of the underlying nonlinear system. Furthermore, we show the convergence of …

Asymptotic convergence properties of the extended Kalman filter using filtered state estimates

B Ursin - IEEE Transactions on Automatic Control, 1980 - ieeexplore.ieee.org
… has given a convergence analysis of the extended Kalman filter (EKF) as … convergence
analysis is done for the EKF using filtered values of the state vector. The convergence properties

The invariant extended Kalman filter as a stable observer

A Barrau, S Bonnabel - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
extended Kalman filter (EKF) that makes use of Kalman equations to stabilize the linearized
estimation error, and then attempt to derive local convergence properties … is an asymptotic

State and parameter estimation with the extended Kalman filter: an alternative formulation of the model error dynamics

A Carrassi, S Vannitsem - Quarterly Journal of the Royal …, 2011 - Wiley Online Library
… a faster convergence to the asymptotic level. This acceleration in the error convergence can
… , rather than being interested in the asymptotic behaviour of the assimilation algorithm, we …

On the convergence of the unscented Kalman filter

A Daid, E Busvelle, M Aidene - European journal of control, 2021 - Elsevier
… The extended Kalman filter is based upon an approximation by a normal distribution of a …
measurements and whose state converges asymptotically (and generally exponentially) to the …