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Pose estimation is a crucial problem in simultaneous localization and mapping (SLAM). However, developing a robust and consistent state estimator remains a significant challenge, as the traditional extended Kalman filter (EKF) struggles to…

Robotics · Computer Science 2025-03-05 Anbo Tao , Yarong Luo , Chunxi Xia , Chi Guo , Xingxing Li

Rendezvous and docking between a chaser spacecraft and an uncooperative target, such as an inoperative satellite, require synchronization between the chaser spacecraft and the target. In these scenarios, the chaser must estimate the…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Gil Serrano , Pedro Lourenço , Bruno J. Guerreiro , Rita Cunha

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

Applications · Statistics 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

This paper focuses on designing a consistent and efficient filter for map-based visual-inertial localization. First, we propose a new Lie group with its algebra, based on which a novel invariant extended Kalman filter (invariant EKF) is…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yang Song , Shoudong Huang , Rong Xiong , Yue Wang

The Ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 [10] as a novel method for data assimilation: state estimation for noisily observed time-dependent problems. Since that time it has had enormous impact in many application…

Optimization and Control · Mathematics 2013-04-08 Marco A. Iglesias , Kody J. H. Law , Andrew M. Stuart

This paper presents a neural network-based Unscented Kalman Filter (UKF) to estimate and track the pose (i.e., position and orientation) of a known, noncooperative, tumbling target spacecraft in a close-proximity rendezvous scenario. The…

Robotics · Computer Science 2023-08-16 Tae Ha Park , Simone D'Amico

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

This letter proposes a reactive navigation strategy for recovering the altitude, translational velocity and orientation of Micro Aerial Vehicles. The main contribution lies in the direct and tight fusion of Inertial Measurement Unit (IMU)…

Robotics · Computer Science 2020-01-16 Shangkun Zhong , Pakpong Chirarattananon

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

Maintaining consistent uncertainty estimates in localization systems is crucial as the perceived uncertainty commonly affects high-level system components, such as control or decision processes. A method for constructing an…

Robotics · Computer Science 2024-08-20 Chuan Huang , Gustaf Hendeby , Isaac Skog

Facial landmark tracking plays a vital role in applications such as facial recognition, expression analysis, and medical diagnostics. In this paper, we consider the performance of the Extended Kalman Filter (EKF) and Unscented Kalman Filter…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Thoa Thieu , Roderick Melnik

A main problem in autonomous vehicles in general, and in \acp{UAV} in particular, is the determination of the attitude angles. A novel method to estimate these angles using off-the-shelf components is presented. This paper introduces an…

An unscented Kalman filter for matrix Lie groups is proposed where the time propagation of the state is formulated on the Lie algebra. This is done with the kinematic differential equation of the logarithm, where the inverse of the right…

Robotics · Computer Science 2020-05-04 Alexander Meyer Sjøberg , Olav Egeland

In the detection of gravitational waves in space, during the science phase of the mission, the point ahead angle mechanism (PAAM) serves to steer a laser beam to compensate for the angle generated by the relative motion of the two…

Instrumentation and Methods for Astrophysics · Physics 2024-11-27 Jinke Yang , Yong Xie , Wenlin Tang , Xindong Liang , Liang Zhang , Zhao Cui , Xue Wang , Haojie Li , Jianjun Jia , Yun Kau Lau

We introduce a computationally efficient variant of the model-based ensemble Kalman filter (EnKF). We propose two changes to the original formulation. First, we phrase the setup in terms of precision matrices instead of covariance matrices,…

Methodology · Statistics 2023-03-01 Håkon Gryvill , Håkon Tjelmeland

To enhance accuracy of robot state estimation, active sensing (or perception-aware) methods seek trajectories that maximize the information gathered by the sensors. To this aim, one possibility is to seek trajectories that minimize the…

Robotics · Computer Science 2024-03-11 Jonas Benhamou , Silvère Bonnabel , Camille Chapdelaine

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

Numerical Analysis · Mathematics 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

This paper presents a novel nonlinear pose filter evolved directly on the Special Euclidean Group SE(3) with guaranteed characteristics of transient and steady-state performance. The above-mention characteristics can be achieved by trapping…

Optimization and Control · Mathematics 2020-02-14 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kalman filter, are posed on Euclidean space. Although any…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

This work presents a novel adaptive framework for simultaneously estimating spacecraft attitude and sensor misalignment. Uncorrected star tracker misalignment can introduce significant pointing errors that compromise mission objectives in…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Ridma Ganganath , Simone Servadio , David Lee