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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

Autonomous mobile robot competitions judge based on a robot's ability to quickly and accurately navigate the game field. This means accurate localization is crucial for creating an autonomous competition robot. Two common localization…

系统与控制 · 电气工程与系统科学 2023-10-18 Ethan Kou , Acshi Haggenmiller

This paper considers the use of two position receivers and an inertial measurement unit (IMU) to estimate the position, velocity, and attitude of a rigid body, collectively called extended pose. The measurement model consisting of the…

机器人学 · 计算机科学 2021-05-03 Natalia Pavlasek , Alex Walsh , James Richard Forbes

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

Attitude estimation is crucial in aerospace engineering, robotics, and virtual reality applications, but faces difficulties due to nonlinear system dynamics and sensor limitations. This paper addresses the challenge of attitude estimation…

信号处理 · 电气工程与系统科学 2024-10-22 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

Accurate state estimation using low-cost MEMS (Micro Electro- Mechanical Systems) sensors present on Commercial-off-the-shelf (COTS) drones is a challenging problem. Most UAV systems use a combination of a gyroscope, an accelerometer, and a…

系统与控制 · 电气工程与系统科学 2020-09-09 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

Accurate estimation and prediction of trajectory is essential for the capture of any high speed target. In this paper, an extended Kalman filter (EKF) is used to track the target in the first loop of the trajectory to collect data points…

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

We derive symmetry preserving invariant extended Kalman filters (IEKF) on matrix Lie groups. These Kalman filters have an advantage over conventional extended Kalman filters as the error dynamics for such filters are independent of the…

最优化与控制 · 数学 2020-01-01 Karmvir Singh Phogat , Dong Eui Chang

The widely-used Extended Kalman Filter (EKF) provides a straightforward recipe to estimate the mean and covariance of the state given all past measurements in a causal and recursive fashion. For a wide variety of applications, the EKF is…

机器人学 · 计算机科学 2023-03-28 Stephanie Tsuei , Stefano Soatto , Paulo Tabuada , Mark B. Milam

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

We study the mathematical properties of the Invariant Extended Kalman Filter (IEKF) when iterating on the measurement update step, following the principles of the well-known Iterated Extended Kalman Filter. This iterative variant of the…

系统与控制 · 电气工程与系统科学 2025-11-26 Sven Goffin , Axel Barrau , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

Simulation-based Dynamic Traffic Assignment models have important applications in real-time traffic management and control. The efficacy of these systems rests on the ability to generate accurate estimates and predictions of traffic states,…

系统与控制 · 电气工程与系统科学 2021-06-01 Haizheng Zhang , Ravi Seshadri , A. Arun Prakash , Constantinos Antoniou , Francisco C. Pereira , Moshe Ben-Akiva

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

系统与控制 · 电气工程与系统科学 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

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

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

系统与控制 · 电气工程与系统科学 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

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

Aiming to enhance the consistency and thus long-term accuracy of Extended Kalman Filters for terrestrial vehicle localization, this paper introduces the Manifold Error State Extended Kalman Filter (M-ESEKF). By representing the robot's pose…

机器人学 · 计算机科学 2026-01-29 Alexander Raab , Stephan Weiss , Alessandro Fornasier , Christian Brommer , Abdalrahman Ibrahim

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

Counter-adversarial system design problems have lately motivated the development of inverse Bayesian filters. For example, inverse Kalman filter (I-KF) has been recently formulated to estimate the adversary's Kalman-filter-tracked estimates…

最优化与控制 · 数学 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra
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