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The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear systems defined on global Euclidean spaces. The design…

系统与控制 · 电气工程与系统科学 2025-06-09 Yixiao Ge , Pieter van Goor , Robert Mahony

Intraoperative tracking of surgical instruments is an inevitable task of computer-assisted surgery. An optical tracking system often fails to precisely reconstruct the dynamic location and pose of a surgical tool due to the acquisition…

机器人学 · 计算机科学 2020-12-23 Md Ashikuzzaman , Noushin Jafarpisheh , Sunil Rottoo , Pierre Brisson , Hassan Rivaz

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

系统与控制 · 电气工程与系统科学 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

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

Extended Kalman filter (EKF) does not guarantee consistent mean and covariance under linearization, even though it is the main framework for robotic localization. While Lie group improves the modeling of the state space in localization, the…

机器人学 · 计算机科学 2019-01-28 Tsang-Kai Chang , Shengkang Chen , Ankur Mehta

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

机器人学 · 计算机科学 2025-03-11 Nadav Cohen , Itzik Klein

Accurate and robust relative pose estimation is crucial for enabling challenging Active Debris Removal (ADR) missions targeting tumbling derelict satellites such as ESA's ENVISAT. This work presents a complete pipeline integrating advanced…

机器人学 · 计算机科学 2026-03-23 Batu Candan , Murat Berke Oktay , Simone Servadio

The general consensus is that the Multiplicative Extended Kalman Filter (MEKF) is superior to the Additive Extended Kalman Filter (AEKF) based on a wealth of theoretical evidence. This paper deals with a practical comparison between the two…

机器人学 · 计算机科学 2023-07-17 Hamza A. Hassan , William Tolstrup , Johanes P. Suriana , Ibrahim D. Kiziloklu

Localization in indoor environments is a technique which estimates the robot's pose by fusing data from onboard motion sensors with readings of the environment, in our case obtained by scan matching point clouds captured by a low-cost…

系统与控制 · 计算机科学 2015-03-05 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

Ubiquitous positioning for pedestrian in adverse environment has served a long standing challenge. Despite dramatic progress made by Deep Learning, multi-sensor deep odometry systems yet pose a high computational cost and suffer from…

机器人学 · 计算机科学 2021-12-13 Zhuangzhuang Dai , Muhamad Risqi U. Saputra , Chris Xiaoxuan Lu , Andrew Markham , Niki Trigoni

LiDAR odometry is a pivotal technology in the fields of autonomous driving and autonomous mobile robotics. However, most of the current works focus on nonlinear optimization methods, and still existing many challenges in using the…

机器人学 · 计算机科学 2024-07-03 Wenlu Yu , Jie Xu , Chengwei Zhao , Lijun Zhao , Thien-Minh Nguyen , Shenghai Yuan , Mingming Bai , Lihua Xie

Accurate modeling is crucial in many engineering and scientific applications, yet obtaining a reliable process model for complex systems is often challenging. To address this challenge, we propose a novel framework, reservoir computing with…

机器学习 · 计算机科学 2025-08-08 Kumar Anurag , Kasra Azizi , Francesco Sorrentino , Wenbin Wan

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

机器人学 · 计算机科学 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

Localization and tracking of a mobile node (MN) in non-line-of-sight (NLOS) scenarios, based on time of arrival (TOA) measurements, is considered in this work. To this end, we develop a constrained form of square root unscented Kalman…

应用统计 · 统计学 2016-11-17 Siamak Yousefi , Xiao-Wen Chang , Benoit Champagne

Due to the state trajectory-independent features of invariant Kalman filtering (InEKF), it has attracted widespread attention in the research community for its significantly improved state estimation accuracy and convergence under…

机器人学 · 计算机科学 2023-10-04 Xiaoyu Ye , Fujun Song , Zongyu Zhang , Rui Zhang , Qinghua Zeng

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

机器学习 · 统计学 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

Multi-object tracking (MOT) is an essential technique for navigation in autonomous driving. In tracking-by-detection systems, biases, false positives, and misses, which are referred to as outliers, are inevitable due to complex traffic…

计算机视觉与模式识别 · 计算机科学 2024-09-17 Shiqi Liu , Wenhan Cao , Chang Liu , Tianyi Zhang , Shengbo Eben Li

Understanding human motion is of critical importance for health monitoring and control of assistive robots, yet many human kinematic variables cannot be directly or accurately measured by wearable sensors. In recent years, invariant…

机器人学 · 计算机科学 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

机器人学 · 计算机科学 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

系统与控制 · 电气工程与系统科学 2026-03-17 Siavash Farzan , Bennett Parisi