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The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kalman filter, are posed on Euclidean space. Although any…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

This paper presents a novel approach to distributed pose estimation in the multi-agent system based on an invariant Kalman filter with covariance intersection. Our method models uncertainties using Lie algebra and applies object-level…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Haoying Li , Xinghan Li , Shuaiting Huang , Chao yang , Junfeng Wu

This paper presents an implementation and evaluation of a Distributed Kalman--Consensus Filter (DKCF) for Multi-Object Tracking (MOT) in mobile robot networks operating under partial observability and heterogeneous localization uncertainty.…

Robotics · Computer Science 2026-03-13 Niusha Khosravi , Rodrigo Ventura , Meysam Basiri

Real-world applications of bipedal robot walking require accurate, real-time state estimation. State estimation for locomotion over dynamic rigid surfaces (DRS), such as elevators, ships, public transport vehicles, and aircraft, remains…

Robotics · Computer Science 2021-09-06 Yuan Gao , Yan Gu

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

The kinematics of many mechanical systems encountered in robotics and other fields, such as single-bearing attitude estimation and SLAM, are naturally posed on homogeneous spaces: That is, their state lies in a smooth manifold equipped with…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Pieter van Goor , Tarek Hamel , Robert Mahony

Search and rescue (SAR) operations require rapid responses to save lives or property. Unmanned Aerial Vehicles (UAVs) equipped with vision-based systems support these missions through prior terrain investigation or real-time assistance…

Robotics · Computer Science 2026-02-25 Luka Šiktar , Branimir Ćaran , Bojan Šekoranja , Marko Švaco

In real-world applications the Perspective-n-Point (PnP) problem should generally be applied in a sequence of images which a set of drift-prone features are tracked over time. In this paper, we consider both the temporal dependency of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Mohammad Amin Mehralian , Mohsen Soryani

The main contribution of this paper is an invariant extended Kalman filter (EKF) for visual inertial navigation systems (VINS). It is demonstrated that the conventional EKF based VINS is not invariant under the stochastic unobservable…

Robotics · Computer Science 2017-03-02 Teng Zhang , Kanzhi Wu , Daobilige Su , Shoudong Huang , Gamini Dissanayake

In the Internet of Things (IoT) paradigm, distributed sensors and actuators can observe and act on their environment, communicating wirelessly. In this context, filtering the observations and tracking the network and environment state over…

Signal Processing · Electrical Eng. & Systems 2019-09-13 Federico Chiariotti

In this work we present a novel method to jointly calibrate a sensor suite consisting a 3D-LiDAR, Inertial Measurement Unit (IMU) and Camera under an Extended Kalman Filter (EKF) framework. We exploit pairwise constraints between the 3…

Robotics · Computer Science 2022-05-19 Subodh Mishra , Srikanth Saripalli

This paper proposes the cooperative use of zero velocity update (ZU) in a decentralized extended Kalman filter (DEKF) based localization algorithm for multi-robot systems. The filter utilizes inertial measurement unit (IMU), ultra-wideband…

Robotics · Computer Science 2023-07-25 Cagri Kilic , Eduardo Gutierrez , Jason N. Gross

While LiDAR and cameras are becoming ubiquitous for unmanned aerial vehicles (UAVs) but can be ineffective in challenging environments, 4D millimeter-wave (MMW) radars that can provide robust 3D ranging and Doppler velocity measurements are…

Robotics · Computer Science 2025-02-24 Jinwen Zhu , Jun Hu , Xudong Zhao , Xiaoming Lang , Yinian Mao , Guoquan Huang

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

In this study, we address multi-robot localization issues, with a specific focus on cooperative localization and observability analysis of relative pose estimation. Cooperative localization involves enhancing each robot's information…

Robotics · Computer Science 2024-02-06 Kihoon Shin , Hyunjae Sim , Seungwon Nam , Yonghee Kim , Jae Hu , Kwang-Ki K. Kim

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

Recent research in inverse cognition with cognitive radar has led to the development of inverse stochastic filters that are employed by the target to infer the information the cognitive radar may have learned. Prior works addressed this…

Optimization and Control · Mathematics 2024-04-22 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

The Ensemble Kalman Filter (EnKF) belongs to the class of iterative particle filtering methods and can be used for solving control--to--observable inverse problems. In this context, the EnKF is known as Ensemble Kalman Inversion (EKI). In…

Numerical Analysis · Mathematics 2022-02-17 Dieter Armbruster , Michael Herty , Giuseppe Visconti

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

Optimization and Control · Mathematics 2025-09-10 Yuan Wu , Sicheng He