The polynomial extended Kalman filter as an exponential observer for nonlinear discrete-time systems

A Germani, C Manes - 2008 47th IEEE Conference on Decision …, 2008 - ieeexplore.ieee.org
exponential convergence of the Polynomial Extended Kalman Filter (PEKF, see [14]) used
as a state observer … -time systems (Polynomial Extended Kalman Observer, PEKO). A new …

A novel case of practical exponential observer using extended Kalman filter

D Ji, Z Deng, S Li, D Ma, T Wang, W Song, S Zhu… - IEEE …, 2018 - ieeexplore.ieee.org
Kalman filter is proved to be an exponential observer (the … of the estimation error is
exponentially stable under certain … definition of exponential observer as well as exponentially

The invariant extended Kalman filter as a stable observer

A Barrau, S Bonnabel - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
… In Section III, we focus on the invariant extended Kalman filter (IEKF) [6] when applied to
the broad class of systems of Section II. We consider continuous-time models with discrete …

The extended Kalman filter as an exponential observer for nonlinear systems

K Reif, R Unbehauen - IEEE Transactions on Signal processing, 1999 - ieeexplore.ieee.org
… Motivated by these results, we apply the extended Kalman filter as an observer for nonlinear
… an exponential observer [8], ie, the dynamics of the estimation error are exponentially stable…

Stability of the extended Kalman filter when the states are constrained

EK Babacan, L Ozbek, M Efe - IEEE Transactions on Automatic …, 2008 - ieeexplore.ieee.org
… the constrained extended Kalman filter is an exponential observer, we give a short pause
in order to introduce the equations for a more general discrete time extended Kalman filter [12] …

The exogenous kalman filter (xkf)

TA Johansen, TI Fossen - International Journal of Control, 2017 - Taylor & Francis
… It is well known that the time-varying Kalman Filter (KF) is globally exponentially stable
and optimal in the sense of minimum variance under some conditions. However, nonlinear …

A global exponential observer based on numerical differentiation

S Diop, V Fromion, JW Grizzle - Proceedings of the 40th IEEE …, 2001 - ieeexplore.ieee.org
exponentially converging observer. The necessity to implement an extended Kalman filter has
… alternative which is still a global exponential observer. While the computation burden may …

On the convergence of the unscented Kalman filter

A Daid, E Busvelle, M Aidene - European journal of control, 2021 - Elsevier
… unscented Kalman filter (UKF), used as an observer for a … Kalman filter (EKF) is an exponential
observer for non-linear systems, ie, the dynamics of the estimation error is exponentially

On Kalman filtering, posterior mode estimation and Fisher scoring in dynamic exponential family regression

L Fahrmeir, H Kaufmann - Metrika, 1991 - Springer
… Since this approach becomes computationally unfeasible for higher dimensional parameter
vectors and large data sets, recursive filters which are similar to the linear Kalman filter are …

[PDF][PDF] Nonlinear state observers and extended Kalman filters for battery systems

A Rauh, SS Butt, H Aschemann - International Journal of Applied …, 2013 - intapi.sciendo.com
… state observer with an offline calculated gain scheduling approach, secondly, a continuous-time
extended Kalman filter and, thirdly, a hybrid extended Kalman filter… show an exponential