Continuous-discrete filtering using EKF, UKF, and PF

M Mallick, M Morelande… - 2012 15th International …, 2012 - ieeexplore.ieee.org
… the extended Kalman filter (EKF), unscented Kalman filter (… s laws of motion [12] (or equivalently
Lagrange’s or Hamilton’s … We define the tracker coordinate frame for which the X, Y , and …

Adaptive robust Kalman filtering for precise point positioning

F Guo, X Zhang - Measurement Science and Technology, 2014 - iopscience.iop.org
… Therefore, we present an adaptive robust Kalman filtering for PPP … conventional Kalman filter
and adaptive robust Kalman filterKalman filter can be derived by the following Lagrangian

Real‐time updating of structural mechanics models using Kalman filtering, modified constitutive relation error, and proper generalized decomposition

B Marchand, L Chamoin, C Rey - International Journal for …, 2016 - Wiley Online Library
… is to say a field of Lagrange multipliers, named v, is introduced. The Lagrangian 16 is thus …
This difference comes from the fact that the number of PGD extra-coordinates we can consider …

[PDF][PDF] Least Squares and Kalman Filtering

RE Deakin - 2015 - mygeodesy.id.au
… where k is a vector of m Lagrange multipliers which are at this stage unknown and the 2 is
… model ybxc = + and the x,y coordinate pairs of each data point are considered as indirect …

WiFi/PDR integrated navigation with robustly constrained Kalman filter

Z Li, L Zhao, C Qin, Y Wang - Measurement Science and …, 2020 - iopscience.iop.org
… based on the network of emitters with known coordinates, such as WiFi, Bluetooth, and ultra…
Lagrange multiplier method can be used to realize constrained optimization. The Lagrangian

A position estimator using Kalman filter with a data rejection filter for a long-stator linear synchronous motor of maglev

JM Jo, SY Lee, K Lee, YJ Oh, SY Choi, CY Lee… - IEEE …, 2020 - ieeexplore.ieee.org
… Therefore, position estimation techniques, such as the Lagrange interpolation method or …
However, position estimators that use the Lagrange interpolation method discontinuously …

Data assimilation of ground GPS total electron content into a physics-based ionospheric model by use of the Kalman filter

GA Hajj, BD Wilson, C Wang, X Pi, IG Rosen - Radio Science, 2004 - ieeexplore.ieee.org
… The motion of this coordinate frame is dictated by the plasma … : a Lagrangian frame used to
solve the dynamical equa- … the partials of the densities in the Lagrangian frame to those in the …

A general weighted total Kalman filter algorithm with numerical evaluation

V Mahboub, M Saadatseresht, AA Ardalan - Studia geophysica et …, 2017 - Springer
… problem which is solved using the Kalman filter. In the literature, the Kalman filter is derived
as either a best predictor (BP) or a best linear predictor (BLP), see eg Kalman (1960), Gelb (…

A Kalman filter-integrated optical flow method for velocity sensing of mobile robots

X Song, LD Seneviratne… - IEEE/ASME Transactions …, 2010 - ieeexplore.ieee.org
This paper presents a Kalman filter (KF)-integrated optical flow method to measure the
velocity of mobile robots using a downward-looking camera. Tests conducted earlier by the …

Estimation of lateral track irregularity using a Kalman filter. Experimental validation

S Muñoz, J Ros, P Urda, JL Escalona - Journal of Sound and Vibration, 2021 - Elsevier
… using symbolic computation: Lagrange Equations are used to … with respect to generalized
coordinates and their first time-… The state vector includes the generalized coordinates, q , …