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This paper investigates the problem of inertial navigation system (INS) filter design through the lens of symmetry. The extended Kalman filter (EKF) and its variants have been the staple of INS filtering for 50 years. However, recent…

Robotics · Computer Science 2025-06-05 Alessandro Fornasier , Yixiao Ge , Pieter van Goor , Robert Mahony , Stephan Weiss

Integration of inertial navigation system (INS) and global navigation satellite system (GNSS) is usually implemented in engineering applications by way of Kalman-like filtering. This form of INS/GNSS integration is prone to attitude…

Robotics · Computer Science 2014-04-29 Yuanxin Wu , Jinling Wang , Dewen Hu

This work studies the state estimation problem of a stochastic nonlinear system with unknown sensor measurement losses. If the estimator knows the sensor measurement losses of a linear Gaussian system, the minimum variance estimate is…

Systems and Control · Computer Science 2020-05-11 Jiaqi Zhang , Keyou You , Lihua Xie

In various applications of land vehicle navigation and automatic guidance systems, Global Navigation Satellite System/Inertial Measurement Unit (GNSS/IMU) positioning performance crucially depends on the attitude determination accuracy…

Systems and Control · Computer Science 2015-05-27 Vasiliy M. Tereshkov

Autonomous vehicles (AVs) are poised to revolutionize the transportation industry by enhancing traffic efficiency and road safety. However, achieving optimal vehicular autonomy demands an uninterrupted and precise positioning solution,…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Sharief Saleh , Qamar Bader , Malek Karaim , Mohamed Elhabiby , Aboelmagd Noureldin

Algorithms for state estimation of humanoid robots usually assume that the feet remain flat and in a constant position while in contact with the ground. However, this hypothesis is easily violated while walking, especially for human-like…

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…

Systems and Control · Electrical Eng. & Systems 2021-08-26 Reiner Marchthaler

This paper presents an adaptive learning method for data fusion in autonomous driving vehicles. The localization is based on the integration of Inertial Measurement Unit (IMU) with two Real-Time Kinematic (RTK) Global Positioning System…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Farhad Aghili

This work presents a centralized multi-IMU filter framework with online intrinsic and extrinsic calibration for unsynchronized inertial measurement units that is robust against changes in calibration parameters. The novel EKF-based method…

Robotics · Computer Science 2024-01-05 Jacob Hartzer , Srikanth Saripalli

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

Systems and Control · Computer Science 2015-10-20 Axel Barrau , Silvère Bonnabel

Outliers can contaminate the measurement process of many nonlinear systems, which can be caused by sensor errors, model uncertainties, change in ambient environment, data loss or malicious cyber attacks. When the extended Kalman filter…

Systems and Control · Computer Science 2019-04-02 Huazhen Fang , Mulugeta A. Haile , Yebin Wang

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…

Robotics · Computer Science 2026-02-04 Yaohua Liu , Qiao Xu , Binkai Ou

Road roughness significantly affects vehicle vibrations and ride quality. We introduce a Kalman filter (KF)-based method for estimating road roughness in terms of the international roughness index (IRI) by fusing inertial and speed…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Martin Agebjär , Gustav Zetterqvist , Fredrik Gustafsson , Johan Wahlström , Gustaf Hendeby

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…

Optimization and Control · Mathematics 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

This paper introduces a framework for state estimation on a humanoid robot platform using only common proprioceptive sensors and knowledge of leg kinematics. The presented approach extends that detailed in [1] on a quadruped platform by…

Robotics · Computer Science 2014-12-11 Nicholas Rotella , Michael Bloesch , Ludovic Righetti , Stefan Schaal

The extended Kalman filter (EKF) is a common state estimation method for discrete nonlinear systems. It recursively executes the propagation step as time goes by and the update step when a set of measurements arrives. In the update step,…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Jianzhu Huai , Xiang Gao

The manifold extended Kalman filter (Manifold EKF) has found extensive application for attitude determination. Magnetometers employed as sensors for such attitude determination are easily prone to disturbances by their sensitivity to…

Robotics · Computer Science 2025-09-30 Arjun Sadananda , Ravi Banavar , Kavi Arya

This paper conveys attitude and rate estimation without rate sensors by performing a critical comparison, validated by extensive simulations. The two dominant approaches to facilitate attitude estimation are based on stochastic and…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Nikolaos Koumpis , Panagiotis Panagiotou , Ioannis Arvanitakis

The extended and unscented Kalman filter, and the particle filter provide a robust framework for fault-tolerant attitude estimation on spacecraft. This paper explores how each filter performs for a large satellite in a low earth orbit.…

Robotics · Computer Science 2025-06-27 B. Chidambaram , A. Hilbert , M. Silva

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