Mesoscopic traffic state estimation based on a variational formulation of the LWR model in Lagrangian-space coordinates and Kalman filter

Y Yuan, A Duret, H Van Lint - Transportation Research Procedia, 2015 - Elsevier
… law approach in the same coordinate system, the current … located on cell boundaries of
the Lagrangian-space grid, which … A Kalman filter framework is applied with the underlying …

Freeway traffic state estimation: A Lagrangian-space Kalman filter approach

H Yang, PJ Jin, B Ran, D Yang, Z Duan… - Journal of Intelligent …, 2019 - Taylor & Francis
… The proposed TTM-based method is compared with a CTM-based Kalman filter estimator
on Eulerian coordinate under different penetration rates of the input Bluetooth, Wi-Fi, or …

Freeway traffic state estimation using extended Kalman filter for first-order traffic model in Lagrangian coordinates

Y Yuan, JWC Van Lint, SP Hoogendoorn… - … Sensing and Control, 2011 - ieeexplore.ieee.org
… The main advantage for state estimation is that in Lagrangian coordinates, the numerical …
-based extended Kalman filter (EKF) state estimator where the discretized Lagrangian model is …

A hybrid particle–ensemble Kalman filter for Lagrangian data assimilation

L Slivinski, E Spiller, A Apte… - Monthly Weather …, 2015 - journals.ametsoc.org
… Comparison of posterior distributions of particle filter (blue dashed curve), ensemble Kalman
filter (red solid curve), and hybrid filter (green dashed–dotted curve): single forecast and …

Kalman filtering with nonlinear state constraints

C Yang, E Blasch - IEEE Transactions on Aerospace and …, 2009 - ieeexplore.ieee.org
… is equivalent to the use of an extended Kalman filter (EKF). … ) whose unknowns are the
Lagrangian multipliers of the first problem. … solution in the new coordinate and normalize it as the …

On Kalman filtering with nonlinear equality constraints

SJ Julier, JJ LaViola - IEEE transactions on signal processing, 2007 - ieeexplore.ieee.org
… for second order constraints using Lagrange multipliers. … The pseudo-observation method
uses the Kalman filter’s linear … with one of the coordinate axes.For the results that lie off the …

Robust Kalman filtering with constraints: a case study for integrated navigation

Y Yang, W Gao, X Zhang - Journal of Geodesy, 2010 - Springer
… of Kalman filtering with state parameter constraints are derived based on the generalized
maximum likelihood Lagrangian … The measurements are X, Y and Z coordinate components …

Ocean current estimation using a multi-model ensemble Kalman filter during the Grand Lagrangian Deployment experiment (GLAD)

EF Coelho, P Hogan, G Jacobs, P Thoppil, HS Huntley… - Ocean Modelling, 2015 - Elsevier
… forcing, and two versions of the NRL Hybrid Coordinates Ocean Model at 4 km, one with …
cycling methodology named Multi-Model Ensemble Kalman Filter (MEKF) that combines the …

Adaptively constrained Kalman filtering for navigation applications

Y Yang, X Zhang, J Xu - Survey Review, 2011 - Taylor & Francis
Kalman filters with constraints with respect to both a unified adaptive factor and multi adaptive
factors are derived based on the generalized maximum likelihood Lagrangiancoordinate

Sigma-point Kalman filters for integrated navigation

R Merwe, EA Wan - Proceedings of the 60th annual meeting of the institute …, 2004 - ion.org
… most widely used algorithm for this purpose is the extended Kalman filter (EKF) [6]. The EKF
… of improved derivativeless nonlinear Kalman filters called sigma-point Kalman filters (SPKF). …