M. Pachter et Pr. Chandler, UNIVERSAL LINEARIZATION CONCEPT FOR EXTENDED KALMAN FILTERS, IEEE transactions on aerospace and electronic systems, 29(3), 1993, pp. 946-962
A careful evaluation of the performance of a universal linearization c
oncept-based extended Kalman filter is made by experimentally comparin
g its Performance to that of a classical, linearization based, extende
d Kalman filter, in the case of a simple nonlinear dynamical system. I
n this work, instances of superior universal linearization concept-bas
ed extended Kalman filter estimation performance, compared with its cl
assical, linearization by differentiation-based extended Kalman filter
counterpart, have been discerned. Thus, in the case of nonlinear dyna
mics and linear measurements, the estimation advantage of the universa
l linearization concept-based extended Kalman filter, compared with th
at of the classical extended Kalman filter, increases when the process
noise intensity decreases; conversely, in the case of linear dynamics
and nonlinear measurements, the estimation accuracy advantage of the
universal linearization concept-based extended Kalman filter, compared
with that of the classical extended Kalman filter, increases when the
process noise intensity increases. Furthermore, compared with the cla
ssical extended Kalman filter, the universal linearization concept-bas
ed extended Kalman filter is more robust with respect to variations in
the dynamics' parameters, in both linear and nonlinear dynamics cases
. The advantage of the universal linearization concept-based extended
Kalman filter, compared with the classical extended Kalman filter, is
more pronounced in the case of small process noise intensity. Encourag
ed by the promising experimental results, in this paper a general and
novel universal linearization concept-based extended Kalman filter is
derived.