Deep learning of multibody minimal coordinates for state and input estimation with Kalman filtering

A Angeli, W Desmet, F Naets - Multibody System Dynamics, 2021 - Springer
coordinates and the minimal coordinatesmultibody model from redundant to minimal
coordinates is employed. The resulting equations are then exploited in an extended Kalman filter

State estimation using multibody models and non-linear Kalman filters

R Pastorino, D Richiedei, J Cuadrado… - International Journal of …, 2013 - Elsevier
The aim of this work is to provide a thorough research on the implementation of some non-linear
Kalman filters (KF) using multibody (MB) models and to compare their performances in …

Kalman filters based on multibody models: linking simulation and real world. A comprehensive review

MÁ Naya, E Sanjurjo, AJ Rodríguez… - Multibody System …, 2023 - Springer
… The MB model is reduced from natural coordinates to minimal coordinates through a deep
learning approach. In this way, the equations of the model are transformed into a set of ODEs …

Online state and input force estimation for multibody models employing extended Kalman filtering

F Naets, R Pastorino, J Cuadrado… - Multibody System …, 2014 - Springer
… an extended Kalman filter due to the nonlinear equations of motion for the multibody system.
… The derivative of the generalized force-expression with respect to the minimal coordinates

Accuracy and efficiency comparison of various nonlinear Kalman filters applied to multibody models

E Sanjurjo, MÁ Naya, JL Blanco-Claraco… - Nonlinear …, 2017 - Springer
… This approach is simpler than the dynamic filters cited … for coupling multibody models and
Kalman filters are presented. … deal with methods in independent coordinates. Among these …

Gyroless attitude control of multibody satellites using an unscented Kalman filter

J Fisher, SR Vadali - Journal of guidance, control, and dynamics, 2008 - arc.aiaa.org
coordinate systems. The A-frame, located at A, is fixed to the hub (body 1) and it also serves
as a reference coordinate … bounds in these figures are shown for the smallest of the three …

A discrete-time extended Kalman filter approach tailored for multibody models: state-input estimation

R Adduci, M Vermaut, F Naets, J Croes, W Desmet - Sensors, 2021 - mdpi.com
… It allows reducing a generic MB model to minimal coordinates allowing the description of
the EOMs through E-ODEs while not requiring a specific formulation or access to the constraint …

State and force observers based on multibody models and the indirect Kalman filter

E Sanjurjo, D Dopico, A Luaces, MÁ Naya - Mechanical Systems and …, 2018 - Elsevier
… Even previously implemented multibody simulations can be used with minimal changes to …
k , q ̇ k ) are built by using the coordinates of the multibody model instead of the states of the …

State, parameter and input observers based on multibody models and Kalman filters for vehicle dynamics

AJ Rodríguez, E Sanjurjo, R Pastorino… - Mechanical Systems and …, 2021 - Elsevier
… The vehicle model is designed in relative independent coordinates (one coordinate per
degree-of-freedom), leading to a multibody system of a minimum size and avoiding the definition …

Multibody-based input and state observers using adaptive extended Kalman filter

AJ Rodríguez, E Sanjurjo, R Pastorino, MÁ Naya - Sensors, 2021 - mdpi.com
… algorithms with multibody based Kalman filters, solving the … For that purpose, a Kalman
filter based on multibody models … the multibody equations, obtaining the predicted coordinates