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There are several attitude estimation algorithms in existence, all of which use local coordinate representations for the group of rigid body orientations. All local coordinate representations of the group of orientations have associated…

最优化与控制 · 数学 2007-05-23 Amit K. Sanyal

The ensemble adjustment Kalman filter (EAKF; Anderson, 2001) is one of the earliest ensemble square root filters. This note clarifies the correct formulation of the EAKF, which depends on a careful treatment of an eigen-decomposition of one…

统计方法学 · 统计学 2020-06-05 Ian Grooms

This paper presented a robust integrated navigation algorithm based on a special robust desensitized extended Kalman filtering with analytical gain (ADEKF) during the Mars atmospheric entry. The robust ADEKF is designed by minimizing a new…

系统与控制 · 计算机科学 2015-12-25 Taishan Lou , Liangyu Zhao

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…

机器人学 · 计算机科学 2025-03-05 Anbo Tao , Yarong Luo , Chunxi Xia , Chi Guo , Xingxing Li

Estimation of rigid body attitude motion is a long-standing problem of interest in several applications. This problem is challenging primarily because rigid body motion is described by nonlinear dynamics and the state space is nonlinear.…

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

Rehabilitation robotics continues to confront substantial challenges, particularly in achieving smooth, safe, and intuitive human-robot interactions for upper limb motor training. Many current systems depend on complex mechanical designs,…

机器人学 · 计算机科学 2024-10-31 Sima Ghafoori , Ali Rabiee , Maryam Norouzi , Musa Jouaneh , Reza Abiri

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

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

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…

系统与控制 · 计算机科学 2014-10-17 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

Invariant extended Kalman filter (InEKF) possesses excellent trajectory-independent property and better consistency compared to conventional extended Kalman filter (EKF). However, when applied to scenarios involving both global-frame and…

系统与控制 · 电气工程与系统科学 2025-11-04 Jiale Han , Wei Ouyang , Maoran Zhu , Yuanxin Wu

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…

机器人学 · 计算机科学 2020-03-10 Yue Yang

The Koopman operator and its data-driven approximations, such as extended dynamic mode decomposition (EDMD), are widely used for analysing, modelling, and controlling nonlinear dynamical systems. However, when the true Koopman…

动力系统 · 数学 2026-02-05 Roland Schurig , Pieter van Goor , Karl Worthmann , Rolf Findeisen

In many applications of biotechnology, measurements are available at different sampling rates, e.g., due to online sensors and offline lab analysis. Offline measurements typically involve time delays that may be unknown a priori due to the…

信号处理 · 电气工程与系统科学 2026-04-07 Simon Hellmann , Terrance Wilms , Stefan Streif , Soeren Weinrich

Because of physical assumptions and numerical approximations, low-order models are affected by uncertainties in the state and parameters, and by model biases. Model biases, also known as model errors or systematic errors, are difficult to…

统计方法学 · 统计学 2024-10-10 Andrea Nóvoa , Alberto Racca , Luca Magri

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

机器学习 · 计算机科学 2026-05-01 Akhil Gupta , Erhan Guven

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

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

机器人学 · 计算机科学 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer

Triad magnetometer components change with sensor attitude even when the IGRF total intensity target stays invariant. NavFormer forecasts this invariant target with rotation invariant scalar features and a Canonical SPD module that…

机器学习 · 计算机科学 2026-01-29 Yoontae Hwang , Dongwoo Lee , Minseok Choi , Heechan Park , Yong Sup Ihn , Daham Kim , Deok-Young Lee

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

机器人学 · 计算机科学 2018-09-28 Philipp Allgeuer , Sven Behnke