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Geometry of the state space is known to play a crucial role in many applications of Kalman filters, especially robotics and motion tracking. The Lie group-centric approach is currently very common, although a Riemannian approach has also…

最优化与控制 · 数学 2025-06-03 Mateusz Baran , Ronny Bergmann

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…

数值分析 · 数学 2018-11-14 Yuming Ba , Lijian Jiang , Na Ou

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

机器人学 · 计算机科学 2024-08-23 Roland Jung

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

最优化与控制 · 数学 2014-10-02 Gyorgy Hexner , Haim Weiss

Precise localization with respect to a set of objects of interest enables mobile robots to perform various tasks. With the rise of edge devices capable of deploying deep neural networks (DNNs) for real-time inference, it stands to reason to…

机器人学 · 计算机科学 2026-02-03 Thomas Jantos , Giulio Delama , Stephan Weiss , Jan Steinbrener

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

统计方法学 · 统计学 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

概率论 · 数学 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

Legged robot locomotion is a challenging task due to a myriad of sub-problems, such as the hybrid dynamics of foot contact and the effects of the desired gait on the terrain. Accurate and efficient state estimation of the floating base and…

机器人学 · 计算机科学 2022-12-20 Varun Agrawal , Sylvain Bertrand , Robert Griffin , Frank Dellaert

Application of two new UKF based estimation techniques with reduced processing time in re-entry vehicle position and velocity estimation problem using ground-based range and elevation measurements is presented. The first method is called…

系统与控制 · 计算机科学 2016-11-30 Sanat Biswas , Li Qiao , Andrew Dempster

Goal: This paper presents an algorithm for accurately estimating pelvis, thigh, and shank kinematics during walking using only three wearable inertial sensors. Methods: The algorithm makes novel use of a constrained Kalman filter (CKF). The…

In this paper we present a method for updating robotic state belief through contact with uncertain surfaces and apply this update to a Kalman filter for more accurate state estimation. Examining how guard surface uncertainty affects the…

机器人学 · 计算机科学 2022-08-02 J. Joe Payne , Nathan J. Kong , Aaron M. Johnson

This paper investigates the orientation, position, and linear velocity estimation problem of a rigid-body moving in three-dimensional (3D) space with six degrees-of-freedom (6 DoF). The highly nonlinear navigation kinematics are formulated…

机器人学 · 计算机科学 2024-12-05 Khashayar Ghanizadegan , Hashim A. Hashim

Unscented Kalman Filters (UKFs) have become popular in the research community. Most UKFs work only with Euclidean systems, but in many scenarios it is advantageous to consider systems with state-variables taking values on Riemannian…

最优化与控制 · 数学 2018-06-29 Henrique M. T. Menegaz , João Y. Ishihara , Hugo T. M. Kussaba

In this paper, we present an observation scheme, with proven Lyapunov stability, for estimating a humanoid's floating base orientation. The idea is to use velocity aided attitude estimation, which requires to know the velocity of the…

In many physical applications, the system's state varies with spatial variables as well as time. The state of such systems is modelled by partial differential equations and evolves on an infinite-dimensional space. Systems modelled by…

最优化与控制 · 数学 2022-02-17 Sepideh Afshar , Fabian Germ , Kirsten A. Morris

This technical note addresses the UD factorization based Kalman filtering (KF) algorithms. Using this important class of numerically stable KF schemes, we extend its functionality and develop an elegant and simple method for computation of…

系统与控制 · 计算机科学 2016-11-28 Julia V. Tsyganova , Maria V. Kulikova

This paper presents the implementation of a perceptual system for a mobile robot. The system is designed and installed with modern sensors and multi-point communication channels. The goal is to equip the robot with a high level of…

机器人学 · 计算机科学 2017-01-05 T. T. Hoang , P. M. Duong , N. T. T. Van , D. A. Viet , T. Q. Vinh

Driven by technological breakthroughs, indoor tracking and localization have gained importance in various applications including the Internet of Things (IoT), robotics, and unmanned aerial vehicles (UAVs). To tackle some of the challenges…

信号处理 · 电气工程与系统科学 2025-01-06 Hammam Salem , Mohanad Ahmed , Mohammed AlSharif , Ali Muqaibel , Tareq Al-Naffouri

This paper introduces a Gaussian Bayesian Network-based Extended Kalman Filter (GBN-EKF) for non-linear state estimators on stiff and ill-conditioned continuous-discrete stochastic systems, with a further analysis on systems with…

最优化与控制 · 数学 2025-11-05 Priyank Behera , C. Robert Kenley

Reliable control and state estimation of differential drive robots (DDR) operating in dynamic and uncertain environments remains a challenge, particularly when system dynamics are partially unknown and sensor measurements are prone to…

系统与控制 · 电气工程与系统科学 2026-03-17 Amos Alwala , Yuchen Hu , Gabriel da Silva Lima , Wallace Moreira Bessa
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