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In this letter, we propose an Attention-Based Neural-Augmented Kalman Filter (AttenNKF) for state estimation in legged robots. Foot slip is a major source of estimation error: when slip occurs, kinematic measurements violate the no-slip…

Robotics · Computer Science 2026-05-05 Seokju Lee , Kyung-Soo Kim

Radar-Inertial Odometry (RIO) based on the Extended Kalman Filter (EKF) relies on accurate extrinsic calibration between the radar and the Inertial Measurement Unit (IMU) and is sensitive to disturbances, as large linearization errors can…

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…

Systems and Control · Computer Science 2015-03-05 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

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 study adaptive (or online) nonlinear regression with Long-Short-Term-Memory (LSTM) based networks, i.e., LSTM-based adaptive learning. In this context, we introduce an efficient Extended Kalman filter (EKF) based second-order training…

Machine Learning · Computer Science 2021-06-01 N. Mert Vural , Salih Ergüt , Suleyman S. Kozat

Inconsistency issue is one crucial challenge for the performance of extended Kalman filter (EKF) based methods for state estimation problems, which is mainly affected by the discrepancy of observability between the EKF model and the…

Robotics · Computer Science 2024-12-17 Yang Song , Liang Zhao , Shoudong Huang

In this paper, we revisit the inconsistency problem of EKF-based cooperative localization (CL) from the perspective of system decomposition. By transforming the linearized system used by the standard EKF into its Kalman observable canonical…

Robotics · Computer Science 2023-10-24 Ning Hao , Fenghua He , Chungeng Tian , Yu Yao , Weilong Xia

In this paper, we present the RISE-SLAM algorithm for performing visual-inertial simultaneous localization and mapping (SLAM), while improving estimation consistency. Specifically, in order to achieve real-time operation, existing…

Robotics · Computer Science 2020-11-25 Tong Ke , Kejian J. Wu , Stergios I. Roumeliotis

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…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

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…

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…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Ethan Kou , Acshi Haggenmiller

We present the Koopman-Inspired Learned Observations Extended Kalman Filter (KILO-EKF), which combines a standard EKF prediction step with a correction step based on a Koopman-inspired measurement model learned from data. By lifting…

Robotics · Computer Science 2026-03-04 Zi Cong Guo , James R. Forbes , Timothy D. Barfoot

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…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Lubin Chang

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…

Robotics · Computer Science 2025-08-05 Zenan Zhu , Seyed Mostafa Rezayat Sorkhabadi , Yan Gu , Wenlong Zhang

This paper studies the problem of Cooperative Localization (CL) for multi-robot systems, where a group of mobile robots jointly localize themselves by using measurements from onboard sensors and shared information from other robots. We…

Robotics · Computer Science 2024-05-08 Yizhi Zhou , Yufan Liu , Pengxiang Zhu , Xuan Wang

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…

Optimization and Control · Mathematics 2022-02-17 Sepideh Afshar , Fabian Germ , Kirsten A. Morris

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…

Robotics · Computer Science 2021-03-15 Yarong Luo , Chi Guo , Shengyong You , Jianlang Hu , Jingnan Liu

Simultaneous Localization and Mapping (SLAM) algorithms perform visual-inertial estimation via filtering or batch optimization methods. Empirical evidence suggests that filtering algorithms are computationally faster, while optimization…

Systems and Control · Electrical Eng. & Systems 2022-08-05 Amay Saxena , Chih-Yuan Chiu , Joseph Menke , Ritika Shrivastava , Shankar Sastry

Optimal decision-making under partial observability requires reasoning about the uncertainty of the environment's hidden state. However, most reinforcement learning architectures handle partial observability with sequence models that have…

Machine Learning · Computer Science 2025-02-20 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

While many works exploiting an existing Lie group structure have been proposed for state estimation, in particular the Invariant Extended Kalman Filter (IEKF), few papers address the construction of a group structure that allows casting a…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Axel Barrau , Silvere Bonnabel