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The kinematics of many systems encountered in robotics, mechatronics, and avionics are naturally posed on homogeneous spaces; that is, their state lies in a smooth manifold equipped with a transitive Lie group symmetry. This paper proposes…

系统与控制 · 电气工程与系统科学 2026-01-19 Pieter van Goor , Tarek Hamel , Robert Mahony

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

In real-world applications the Perspective-n-Point (PnP) problem should generally be applied in a sequence of images which a set of drift-prone features are tracked over time. In this paper, we consider both the temporal dependency of…

计算机视觉与模式识别 · 计算机科学 2020-04-23 Mohammad Amin Mehralian , Mohsen Soryani

An extended Kalman filter (EKF) is developed on the special Euclidean group, SE(3) for geometric control of a quadrotor UAV. It is obtained by performing an extensive linearization on SE(3) to estimate the state of the quadrotor from noisy…

最优化与控制 · 数学 2016-05-10 Farhad A. Goodarzi , Taeyoung Lee

In this paper, we focus on developing an Invariant Extended Kalman Filter (IEKF) for extended pose estimation for a noisy system with state equality constraints. We treat those constraints as noise-free pseudo-measurements. To this aim, we…

系统与控制 · 电气工程与系统科学 2024-04-17 Sven Goffin , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

Indoor tracking and pose estimation, i.e., determining the position and orientation of a moving target, are increasingly important due to their numerous applications. While Inertial Navigation Systems (INS) provide high update rates, their…

机器人学 · 计算机科学 2024-09-04 Mohammed H. AlSharif , Mohanad Ahmed , Mohamed Siala , Tareq Y. Al-Naffouri

Autonomous Underwater Vehicles (AUVs) and Remotely Operated Vehicles (ROVs) are used for a wide variety of missions related to exploration and scientific research. Successful navigation by these systems requires a good localization system.…

机器人学 · 计算机科学 2021-05-27 Sharan Balasubramanian , Ayush Rajput , Rodra W. Hascaryo , Chirag Rastogi , William R. Norris

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

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…

机器人学 · 计算机科学 2021-09-13 Lovro Markovic , Marin Kovac , Robert Milijas , Marko Car , Stjepan Bogdan

RGB-D sensors face multiple challenges operating under open-field environments because of their sensitivity to external perturbations such as radiation or rain. Multiple works are approaching the challenge of perceiving the 3D position of…

机器人学 · 计算机科学 2025-01-08 Sandro Costa Magalhães , António Paulo Moreira , Filipe Neves dos Santos , Jorge Dias

In this paper, the spacecraft attitude estimation problem has been investigated making use of the concept of matrix Lie group. Through formulation of the attitude and gyroscope bias as elements of SE(3), the corresponding extended Kalman…

系统与控制 · 电气工程与系统科学 2020-03-31 Lubin Chang

Many researchers are interested to use Extended Kalman Filter (EKF) for state estimation of complex nonlinear dynamics with uncertainties which modeled with white noises. On the other hand behavior of the chaotic systems in time domain…

混沌动力学 · 物理学 2012-11-20 Mozhgan Mombeini , Hamid Khaloozadeh

This paper proposes an $SE_2(3)$ based extended Kalman filtering (EKF) framework for the inertial-integrated state estimation problem. The error representation using the straight difference of two vectors in the inertial navigation system…

机器人学 · 计算机科学 2021-03-15 Yarong Luo , Chi Guo , Shengyong You , Jianlang Hu , Jingnan Liu

This paper studies the optimal state estimation for a dynamic system, whose transfer function can be nonlinear and the input noise can be of arbitrary distribution. Our algorithm differs from the conventional extended Kalman filter (EKF)…

信号处理 · 电气工程与系统科学 2022-04-22 Xin Liang , Yi Jiang

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

Legged robots require knowledge of pose and velocity in order to maintain stability and execute walking paths. Current solutions either rely on vision data, which is susceptible to environmental and lighting conditions, or fusion of…

机器人学 · 计算机科学 2019-11-13 Ross Hartley , Maani Ghaffari , Ryan M. Eustice , Jessy W. Grizzle

Advanced driver assistance systems are critically dependent on reliable and accurate information regarding a vehicles' driving state. For estimation of unknown quantities, model-based and learning-based methods exist, but both suffer from…

系统与控制 · 电气工程与系统科学 2024-09-17 Jan-Hendrik Ewering , Zygimantas Ziaukas , Simon F. G. Ehlers , Thomas Seel

State estimation is crucial for legged robots as it directly affects control performance and locomotion stability. In this paper, we propose an Adaptive Invariant Extended Kalman Filter to improve proprioceptive state estimation for legged…

机器人学 · 计算机科学 2025-10-21 Kyung-Hwan Kim , DongHyun Ahn , Dong-hyun Lee , JuYoung Yoon , Dong Jin Hyun

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

最优化与控制 · 数学 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

Recent developments of technology have enabled atomic spins as the most sensitive inertial and magnetic sensors. Atomic spin gyroscope (magnetometer) essentially outputs the estimate of the inertial rotation rate (magnetic filed) to be…

量子物理 · 物理学 2014-03-03 Lijun Liu , Bo Qi , Shuming Cheng , Zairong Xi