Comments on" Optimal solution of the two-stage Kalman estimator

K Lo, Q Lu, WH Kwon - IEEE Transactions on Automatic …, 2002 - ieeexplore.ieee.org
The optimal two-stage Kalman estimator (OTSKE) is analyzed (CS Hsieh and FC Chen, see
ibid., vol. 44. p. 194-9, 1999). Comparison with two estimators shows that the optimal two …

An approach to the control of divergence in Kalman filter algorithms

ALC Quigley - International Journal of Control, 1973 - Taylor & Francis
An approach to the control of divergence in Kalman filter algorithms<xref ref-type='fn' rid='FN0001'>†&l
Page 1 INT. J. CONTROL, l('73, VOL. 17, NO.4, 741-746 An approach to the control of …

A Gaussian uniform mixture model for robust Kalman filtering

M Brunot - IEEE Transactions on Aerospace and Electronic …, 2019 - ieeexplore.ieee.org
This article presents a Kalman-type recursive estimator for discrete-time systems with a
measurement noise modeled by a Gaussian-uniform mixture. The objective is to deal with …

An iterative ensemble Kalman filter

RJ Lorentzen, G Nævdal - IEEE Transactions on Automatic …, 2011 - ieeexplore.ieee.org
The ensemble Kalman filter is a Monte Carlo method for state estimation of nonlinear
models, developed as an alternative or improvement of the extended Kalman filter. In this …

The effect of erroneous models on the Kalman filter response

H Heffes - IEEE Transactions on Automatic Control, 1966 - ieeexplore.ieee.org
The optimal filtering equations, as derived by Kalman [1],[2], require the specification of a
number of models for a given application. This paper concerns itself with the effect of errors …

A parallel filtering algorithm for linear systems with unknown time varying noise statistics

D Alspach - IEEE Transactions on Automatic Control, 1974 - ieeexplore.ieee.org
The problem of estimating the state of a linear dynamic system driven by additive Gaussian
noise with unknown time varying statistics is considered. Estimates of the state of the system …

Solution of two-stage Kalman filter

HZ Qiu, HY Zhang, XF Sun - IEE Proceedings-Control Theory and Applications, 2005 - IET
Some extensions to the results of Hsieh's and Ignagni's work for the two-stage Kalman filter
are given, in which the bias vector is expressed by a first-order auto-regressive model. Two …

The stability analysis of the adaptive two‐stage Kalman filter

KH Kim, JG Lee, CG Park - International Journal of Adaptive …, 2007 - Wiley Online Library
Recently, the adaptive two‐stage Kalman filter, which can track unknown random bias, was
proposed. This filter can be used for systems with unknown random bias on the assumption …

Decision-directed adaptive recursive estimators: Divergence prevention

N Nahi, B Schaefer - IEEE Transactions on Automatic Control, 1972 - ieeexplore.ieee.org
In recent years, minimum-variance recursive estimators, such as the Kalman filter, have
been used successfully in many practical applications. However, a common problem, known …

Kalman filtering in non-Gaussian model errors: A new perspective [tips & tricks]

AK Roonizi - IEEE Signal Processing Magazine, 2022 - ieeexplore.ieee.org
It is well known that the optimality of the Kalman filter relies on the Gaussian distribution of
process and observation model errors, which in many situations is well justified–. However …