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Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture the underlying dynamics of complex structural systems. In…

机器学习 · 计算机科学 2023-07-04 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

This paper derives the extended Kalman filter (EKF) for continuous-time systems on matrix Lie groups observed through discrete-time measurements. By modeling the system noise on the Lie algebra and adopting a Stratonovich interpretation for…

系统与控制 · 电气工程与系统科学 2025-06-03 Finn G. Maurer , Erlend A. Basso , Henrik M. Schmidt-Didlaukies , Torleiv H. Bryne

This letter proposes a reactive navigation strategy for recovering the altitude, translational velocity and orientation of Micro Aerial Vehicles. The main contribution lies in the direct and tight fusion of Inertial Measurement Unit (IMU)…

机器人学 · 计算机科学 2020-01-16 Shangkun Zhong , Pakpong Chirarattananon

To achieve robust and accurate state estimation for robot navigation, we propose a novel Visual Inertial Odometry(VIO) algorithm with line features upon the theory of invariant Kalman filtering and Cubature Kalman Filter (CKF). In contrast…

机器人学 · 计算机科学 2019-12-30 Deli Yan , Chunhui Wu , Weiming Wang , Yu Song , Shaohua Li

This paper proposes a equivariant filtering (EqF) framework for the inertial-integrated state estimation problem. As the kinematic system of the inertial-integrated navigation can be naturally modeling on the matrix Lie group $SE_2(3)$, the…

机器人学 · 计算机科学 2021-04-20 Yarong Luo , Chi Guo , Jingnan Liu

This paper illustrates the way for estimating position and orientation of a vehicle with an Extended Kalman Filter (EKF). For this purpose a non-linear model is designed and an adaptive calculation of measurement noise covariance matrix is…

系统与控制 · 电气工程与系统科学 2021-08-26 Reiner Marchthaler

Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

信号处理 · 电气工程与系统科学 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

最优化与控制 · 数学 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

This paper describes a novel tracking filter, designed primarily for use in collision avoidance systems on autonomous surface vehicles (ASVs). The proposed methodology leverages real-time kinematic information broadcast via the Automatic…

机器人学 · 计算机科学 2021-11-29 Blake Cole , Gabriel Schamberg

The Kalman Filter (KF) is a powerful mathematical tool widely used for state estimation in various domains, including Simultaneous Localization and Mapping (SLAM). This paper presents an in-depth introduction to the Kalman Filter and…

机器人学 · 计算机科学 2024-07-01 Gyubeom Im

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

We introduce a computationally efficient variant of the model-based ensemble Kalman filter (EnKF). We propose two changes to the original formulation. First, we phrase the setup in terms of precision matrices instead of covariance matrices,…

统计方法学 · 统计学 2023-03-01 Håkon Gryvill , Håkon Tjelmeland

In this paper, we propose an Invariant Extended Kalman Filter (IEKF) based Visual-Inertial Odometry (VIO) using multiple features in man-made environments. Conventional EKF-based VIO usually suffers from system inconsistency and angular…

机器人学 · 计算机科学 2023-11-09 Tong Hua , Tao Li , Liang Pang , Guoqing Liu , Wencheng Xuanyuan , Chang Shu , Ling Pei

Low-cost inertial measurement units (IMUs) are widely utilized in mobile robot localization due to their affordability and ease of integration. However, their complex, nonlinear, and time-varying noise characteristics often lead to…

机器人学 · 计算机科学 2026-02-04 Yaohua Liu , Qiao Xu , Binkai Ou

Existing state estimation algorithms for legged robots that rely on proprioceptive sensors often overlook foot slippage and leg deformation in the physical world, leading to large estimation errors. To address this limitation, we propose a…

机器人学 · 计算机科学 2024-11-19 Tianyi Zhang , Wenhan Cao , Chang Liu , Tao Zhang , Jiangtao Li , Shengbo Eben Li

This paper proposes an algorithm for combined contact detection and state estimation for legged robots. The proposed algorithm models the robot's movement as a switched system, in which different modes relate to different feet being in…

机器人学 · 计算机科学 2024-04-05 Marcel Menner , Karl Berntorp

This letter re-visits the problem of visual-inertial navigation system (VINS) and presents a novel filter design we dub the multi state constraint equivariant filter (MSCEqF, in analogy to the well known MSCKF). We define a symmetry group…

机器人学 · 计算机科学 2023-11-21 Alessandro Fornasier , Pieter van Goor , Eren Allak , Robert Mahony , Stephan Weiss

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 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

In this paper, in order to enhance the numerical stability of the unscented Kalman filter (UKF) used for power system dynamic state estimation, a new UKF with guaranteed positive semidifinite estimation error covariance (UKF-GPS) is…

最优化与控制 · 数学 2016-08-03 Junjian Qi , Kai Sun , Jianhui Wang , Hui Liu