Extended Kalman filtering with nonlinear equality constraints: A geometric approach

A Barrau, S Bonnabel - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
… the state is available. This has led to the realm of state constrained extended Kalman
filtering, see, eg, [23], where a variety of tools allow forcing the state to belong to a set where it is …

Comparison of constrained unscented and cubature Kalman filters for nonlinear system parameter identification

J Cao, ST Quek, H Xiong, Z Yang - Journal of Engineering …, 2023 - ascelibrary.org
… are implicitly considered in the state vector of displacement and velocity. … filters: the unscented
Kalman filter, third-degree cubature Kalman filter, and fifth-degree cubature Kalman filter. …

Constrained robust unscented Kalman filter for generalized dynamic state estimation

J Zhao, L Mili, A Gómez-Expósito - IEEE Transactions on Power …, 2019 - ieeexplore.ieee.org
constrained robust DSE framework that is able to deal with various equality and inequality
constraints… and equality constraints, respectively, within the unscented Kalman filter (UKF) …

Robust linearly constrained extended Kalman filter for mismatched nonlinear systems

E Hrustic, R Ben Abdallah, J Vilà‐Valls… - … and Nonlinear …, 2021 - Wiley Online Library
… errors, state constraints may be introduced, yielding the so-called constrained EKF (CEKF).
Recently, the CEKF has attracted a lot of attention and the use of state constraints has …

Nonlinear filtering

KPB Chandra, DW Gu - Cham, Switzerland: Springer, 2019 - Springer
… This book will mainly focus on these Jacobian-free filters, and especially on the Cubature
Kalman Filter (CKFs) and its extensions. Several extensions to the CKF will be derived, …

Dynamic State Estimation of Power Systems by -Norm Nonlinear Kalman Filter

W Wang, KT Chi, S Wang - … on Circuits and Systems I: Regular …, 2020 - ieeexplore.ieee.org
… The goal of this paper is to develop a robust nonlinear Kalman filter for the state estimation
of the power system against large outliers. To be specific, the contributions include the …

Nonlinear filtering for sequential spacecraft attitude estimation with real data: Cubature Kalman Filter, Unscented Kalman Filter and Extended Kalman Filter

RV Garcia, PCPM Pardal, HK Kuga… - Advances in Space …, 2019 - Elsevier
… by nonlinear estimator Cubature Kalman Filter with results obtained by the Extended Kalman
Filter and Unscented Kalman Filter… , mostly the Extended Kalman Filter has been applied to …

Kalman filtering under unknown inputs and norm constraints

H Kong, M Shan, S Sukkarieh, T Chen, WX Zheng - Automatica, 2021 - Elsevier
… Due to its potential applications in robotics and navigation, recent years have witnessed
some progress in Kalman filter (KF) with norm constraints on the state. A noticeable discovery of …

The discriminative Kalman filter for Bayesian filtering with nonlinear and nongaussian observation models

MC Burkhart, DM Brandman, B Franco… - Neural …, 2020 - direct.mit.edu
… of models that generalizes the Kalman filter by allowing for … Kalman filter, and in section
2.5, we discuss using the DKF approximation in models with nonlinear or nongaussian state

A state optimization model based on Kalman filtering and robust estimation theory for fusion of multi-source information in highly non-linear systems

MA Akram, P Liu, MO Tahir, W Ali, Y Wang - Sensors, 2019 - mdpi.com
… and its variants have been successfully used for solving state estimation problems. Kalman
filtering… In this work, we propose a Kalman filtering-based robust state estimation model using …