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Extended Kalman filtering is a common approach to achieve floating base estimation of a humanoid robot. These filters rely on measurements from an Inertial Measurement Unit (IMU) and relative forward kinematics for estimating the base…

Robotics · Computer Science 2022-05-17 Prashanth Ramadoss , Stefano Dafarra , Silvio Traversaro , Daniele Pucci

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

Applications · Statistics 2018-08-01 Sylvain Robert , Hans R. Künsch

In this paper we address the simultaneous collision detection and force estimation problem for quadrupedal locomotion using joint encoder information and the robot dynamics only. We design an interacting multiple-model Kalman filter…

Robotics · Computer Science 2025-04-25 Ziyi Zhou , Stefano Di Cairano , Yebin Wang , Karl Berntorp

In recent years, MEMS inertial sensors (3D accelerometers and 3D gyroscopes) have become widely available due to their small size and low cost. Inertial sensor measurements are obtained at high sampling rates and can be integrated to obtain…

Robotics · Computer Science 2018-06-12 Manon Kok , Jeroen D. Hol , Thomas B. Schön

This paper presents a solution for the state estimation and control problems for a class of unconventional vertical takeoff and landing (VTOL) UAVs operating in forward-flight conditions. A tightly-coupled state estimation approach is used…

Robotics · Computer Science 2024-03-04 Mitchell Cohen , James Richard Forbes

In many advanced control strategies the wave excitation force is key to determining the control input. However, it is often difficult to measure the excitation force on a Wave Energy Converter (WEC). The use of Kalman filters to estimate…

Systems and Control · Electrical Eng. & Systems 2019-07-22 Andrew F. Davis , Brian C. Fabien

Inertial Measurement Units (IMUs) enable portable, multibody motion capture (MoCap) in diverse environments beyond the laboratory, making them a practical choice for diagnosing mobility disorders and supporting rehabilitation in clinical or…

Robotics · Computer Science 2025-05-14 Hassan Osman , Daan de Kanter , Jelle Boelens , Manon Kok , Ajay Seth

This paper addresses the issues of unmanned aerial vehicle (UAV) indoor navigation, specifically in areas where GPS and magnetometer sensor measurements are unavailable or unreliable. The proposed solution is to use an error state extended…

Robotics · Computer Science 2021-09-13 Lovro Markovic , Marin Kovac , Robert Milijas , Marko Car , Stjepan Bogdan

This paper addresses state of charge (SOC) estimation for lithium iron phosphate (LFP) batteries, where the relatively flat open-circuit voltage (OCV-SOC) characteristic reduces observability. A residual bias compensation dual extended…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Feng Guo , Luis D. Couto , Khiem Trad , Guangdi Hu , Mohammadhosein Safari

This paper develops an efficient implementation of the ensemble Kalman filter based on a modified Cholesky decomposition for inverse covariance matrix estimation. This implementation is named EnKF-MC. Background errors corresponding to…

Statistics Theory · Mathematics 2016-05-31 Elias D. Nino , Adrian Sandu , Xinwei Deng

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

Methodology · Statistics 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

In this work, we explore the recent advances in equivariant filtering for inertial navigation systems to improve state estimation for uncrewed aerial vehicles (UAVs). Traditional state-of-the-art estimation methods, e.g., the multiplicative…

Robotics · Computer Science 2023-10-17 Martin Scheiber , Alessandro Fornasier , Christian Brommer , Stephan Weiss

We propose a regularization method for ensemble Kalman filtering (EnKF) with elliptic observation operators. Commonly used EnKF regularization methods suppress state correlations at long distances. For observations described by elliptic…

Fluid Dynamics · Physics 2024-04-24 Mathieu Le Provost , Ricardo Baptista , Youssef Marzouk , Jeff D. Eldredge

This paper presents a novel approach to distributed pose estimation in the multi-agent system based on an invariant Kalman filter with covariance intersection. Our method models uncertainties using Lie algebra and applies object-level…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Haoying Li , Xinghan Li , Shuaiting Huang , Chao yang , Junfeng Wu

A generalisation of the extended Kalman filter for Stiefel manifold-valued measurements is presented. We provide simulations on the 2-sphere and the space of orthogonal 4-by-2 matrices which show significant improvement of the Extended…

Applications · Statistics 2025-11-05 Jordi-Lluís Figueras , Aron Persson , Lauri Viitasaari

One-shot pose estimation for tasks such as body joint localization, camera pose estimation, and object tracking are generally noisy, and temporal filters have been extensively used for regularization. One of the most widely-used methods is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Huseyin Coskun , Felix Achilles , Robert DiPietro , Nassir Navab , Federico Tombari

In this work we combine ideas from multi-index Monte Carlo and ensemble Kalman filtering (EnKF) to produce a highly efficient filtering method called multi-index EnKF (MIEnKF). MIEnKF is based on independent samples of four-coupled EnKF…

Numerical Analysis · Mathematics 2022-09-07 Håkon Hoel , Gaukhar Shaimerdenova , Raúl Tempone

Modular robots have been rising in popularity for a variety of applications, and autonomous midair docking is a necessary task for real world deployment of these robots. We present a state estimator based on the extended Kalman filter for…

Robotics · Computer Science 2020-11-12 Karan P. Jain , Minos Park , Mark W. Mueller

Nonlinear Kalman Filters are powerful and widely-used techniques when trying to estimate the hidden state of a stochastic nonlinear dynamic system. In this paper, we extend the Smart Sampling Kalman Filter (S2KF) with a new point symmetric…

Systems and Control · Computer Science 2015-06-11 Jannik Steinbring , Martin Pander , Uwe D. Hanebeck

The main goal of this article is to analyze the effect on pose estimation accuracy when using a Kalman filter added to 4-dimensional deformation part model partial solutions. The experiments run with two data sets showing that this method…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Enrique Martinez-Berti , Antonio-Jose Sanchez-Salmeron , Carlos Ricolfe-Viala