On the convergence of the unscented Kalman filter

摘要

A convergence analysis of the modified unscented Kalman filter (UKF), used as an observer for a class of nonlinear deterministic continuous time systems, is presented. Under certain conditions, the extended Kalman filter (EKF) is an exponential observer for non-linear systems, i.e., the dynamics of the estimation error is exponentially stable. It is shown that unlike the EKF, the UKF is not an exponentially converging observer. A modification of the UKF - the unscented Kalman observer - is proposed, which is a better candidate for an observer.This paper is a first step towards a proof of the global convergence of the high-gain version of the UKO. (C) 2020 European Control Association. Published by Elsevier Ltd. All rights reserved.