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In this paper, we introduce a novel approach for ground plane normal estimation of wheeled vehicles. In practice, the ground plane is dynamically changed due to braking and unstable road surface. As a result, the vehicle pose, especially…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Jiaxin Zhang , Wei Sui , Qian Zhang , Tao Chen , Cong Yang

This paper describes a novel method for the estimation of the trajectory curve and orientation of a rigid body moving along a railway track. Compared to other recent developments in the literature, the presented approach has the significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-15 J. González-Carbajal , Pedro Urda , Sergio Muñoz , José L. Escalona

This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

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…

Aimed at solving the problem of Attitude and Heading Reference System(AHRS) in the complex and dynamic conditions for small-UAV, An intelligent Singular Value Decomposition Cubature Kalman Filter(SVDCKF) combined with the Variable Adaptive…

Robotics · Computer Science 2020-03-10 Yue Yang

Accurate relative positioning is crucial for swarm aerial robotics, enabling coordinated flight and collision avoidance. Although vision-based tracking has been extensively studied, 3D LiDAR-based methods remain underutilized despite their…

Robotics · Computer Science 2026-03-17 Nivand Khosravi , Meysam Basiri , Rodrigo Ventura

This paper presents a novel approach to address the inconsistency problem caused by observability mismatch in visual-inertial navigation systems (VINS). The key idea involves applying a linear time-varying transformation to the error-state…

Robotics · Computer Science 2025-10-28 Chungeng Tian , Ning Hao , Fenghua He

Two novel nonlinear pose (i.e, attitude and position) filters developed directly on the Special Euclidean Group SE(3)able to guarantee prescribed characteristics of transient and steady-state performance are proposed. The position error and…

Optimization and Control · Mathematics 2021-04-15 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

Machine Learning · Statistics 2016-08-31 Michael C. Burkhart , David M. Brandman , Carlos E. Vargas-Irwin , Matthew T. Harrison

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

Methodology · Statistics 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

A filter for inertial-based odometry is a recursive method used to estimate the pose from measurements of ego-motion and relative pose. Currently, there is no known filter that guarantees the computation of a globally optimal solution for…

Robotics · Computer Science 2024-02-08 Xinghan Li , Haoying Li , Guangyang Zeng , Qingcheng Zeng , Xiaoqiang Ren , Chao Yang , Junfeng Wu

This paper develops efficient ensemble Kalman filter (EnKF) implementations based on shrinkage covariance estimation. The forecast ensemble members at each step are used to estimate the background error covariance matrix via the…

Statistics Theory · Mathematics 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu

Implementing dynamic locomotion behaviors on legged robots requires a high-quality state estimation module. Especially when the motion includes flight phases, state-of-the-art approaches fail to produce reliable estimation of the robot…

Ensemble Kalman filter (EnKF) has been widely used in state estimation and parameter estimation for the dynamic system where observational data is obtained sequentially in time. To reduce uncertainty and accelerate posterior inference, a…

Numerical Analysis · Mathematics 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has been of great interest in recent years in the data…

Numerical Analysis · Mathematics 2024-12-18 Francesco A. B. Silva , Cecilia Pagliantini , Karen Veroy

We describe an application of the Invariant Extended Kalman Filter (IEKF) design methodology to the scan matching SLAM problem. We review the theoretical foundations of the IEKF and its practical interest of guaranteeing robustness to poor…

Systems and Control · Computer Science 2014-10-17 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

This paper presents a novel end-to-end deep learning framework for real-time inertial attitude estimation using 6DoF IMU measurements. Inertial Measurement Units are widely used in various applications, including engineering and medical…

Robotics · Computer Science 2023-05-23 Arman Asgharpoor Golroudbari , Mohammad Hossein Sabour

Inconsistency issue is one crucial challenge for the performance of extended Kalman filter (EKF) based methods for state estimation problems, which is mainly affected by the discrepancy of observability between the EKF model and the…

Robotics · Computer Science 2024-12-17 Yang Song , Liang Zhao , Shoudong Huang

This tutorial presents a control-oriented introduction to aided inertial navigation systems using a Lie-group formulation centered on the extended Special Euclidean group SE_2(3). The focus is on developing a clear and…

Robotics · Computer Science 2026-03-10 Soulaimane Berkane

The task of dynamic flow estimation is to construct an approximation of an evolving flow---and particularly, its response to disturbances---using measurements from available sensors. Building from previous work by Darakananda et al.~(Phys…

Fluid Dynamics · Physics 2021-05-19 Mathieu Le Provost , Jeff D. Eldredge
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