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The Extended Kalman Filter (EKF) is both the historical algorithm for multi-sensor fusion and still state of the art in numerous industrial applications. However, it may prove inconsistent in the presence of unobservability under a group of…

Robotics · Computer Science 2019-03-14 Martin Brossard , Axel Barrau , Silvère Bonnabel

This paper introduces an innovative approach to Simultaneous Localization and Mapping (SLAM) using the Unscented Kalman Filter (UKF) in a dynamic environment. The UKF is proven to be a robust estimator and demonstrates lower sensitivity to…

Robotics · Computer Science 2023-12-20 Masoud Dorvash , Ali Eslamian , Mohammad Reza Ahmadzadeh

The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear systems defined on global Euclidean spaces. The design…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Yixiao Ge , Pieter van Goor , Robert Mahony

Modern autonomous navigation for unmanned ground vehicles relies on different estimators to fuse inertial sensors and GNSS measurements. However, the constant noise covariance matrices often struggle to account for dynamic real-world…

Robotics · Computer Science 2026-03-26 Gal Versano , Itzik Klein

Extended object tracking involves estimating both the physical extent and kinematic parameters of a target object, where typically multiple measurements are observed per time step. In this article, we propose a deterministic closed-form…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Simon Steuernagel , Marcus Baum

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

Robotics · Computer Science 2026-03-31 Batu Candan , Simone Servadio

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…

Systems and Control · Electrical Eng. & Systems 2020-09-09 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

This paper presents an Extended Kalman Filter (EKF) approach to localize a mobile robot with two quadrature encoders, a compass sensor, a laser range finder (LRF) and an omni-directional camera. The prediction step is performed by employing…

Robotics · Computer Science 2017-01-05 T. T. Hoang , P. M. Duong , N. T. T. Van , D. A. Viet , T. Q. Vinh

Ultra-wideband (UWB) indoor localization provides centimeter-level accuracy and low latency, but its measurement reliability degrades severely under Non-Line-of-Sight (NLOS) conditions, leading to meter-scale ranging errors and inconsistent…

Signal Processing · Electrical Eng. & Systems 2026-03-20 Kyeonghyun Yoo , Wooyong Jung , Namkyung Yoon , Sangmin Lee , Sanghong Kim , Hwangnam Kim

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,…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Haizheng Zhang , Ravi Seshadri , A. Arun Prakash , Constantinos Antoniou , Francisco C. Pereira , Moshe Ben-Akiva

A stable square-root approach has been recently proposed for the unscented Kalman filter (UKF) and fifth-degree cubature Kalman filter (5D-CKF) as well as for the mixed-type methods consisting of the extended Kalman filter (EKF) time update…

Optimization and Control · Mathematics 2023-12-06 Maria V. Kulikova , Gennady Yu. Kulikov

The Extended Kalman Filter (EKF) is a well established technique for position and velocity estimation. However, the performance of the EKF degrades considerably in highly non-linear system applications as it requires local linearisation in…

Systems and Control · Computer Science 2016-11-30 Sanat Biswas , Li Qiao , Andrew Dempster

This paper addresses the problem of designing the {\it continuous-discrete} unscented Kalman filter (UKF) implementation methods. More precisely, the aim is to propose the MATLAB-based UKF algorithms for {\it accurate} and {\it robust}…

Numerical Analysis · Mathematics 2023-10-09 Maria Kulikova , Gennady Kulikov

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…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

In the realm of Cyber-Physical System (CPS), accurately identifying attacks without detailed knowledge of the system's parameters remains a major challenge. When it comes to Advanced Driver Assistance Systems (ADAS), identifying the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Shuhao Bian , Milad Farsi , Nasser L. Azad , Chris Hobbs

This paper develops a distributed collaborative localization algorithm based on an extended kalman filter. This algorithm incorporates Ultra-Wideband (UWB) measurements for vehicle to vehicle ranging, and shows improvements in localization…

Robotics · Computer Science 2023-10-10 Jacob Hartzer , Srikanth Saripalli

Orientation estimation for 3D objects is a common problem that is usually tackled with traditional nonlinear filtering techniques such as the extended Kalman filter (EKF) or the unscented Kalman filter (UKF). Most of these techniques assume…

Systems and Control · Computer Science 2016-08-19 Igor Gilitschenski , Gerhard Kurz , Simon J. Julier , Uwe D. Hanebeck

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…

In this paper, a novel image moments based model for shape estimation and tracking of an object moving with a complex trajectory is presented. The camera is assumed to be stationary looking at a moving object. Point features inside the…

Image and Video Processing · Electrical Eng. & Systems 2018-04-13 Gang Yao , Ashwin Dani

Odometry estimation is crucial for every autonomous system requiring navigation in an unknown environment. In modern mobile robots, 3D LiDAR-inertial systems are often used for this task. By fusing LiDAR scans and IMU measurements, these…