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Inertial Navigation Systems (INS) are algorithms that fuse inertial measurements of angular velocity and specific acceleration with supplementary sensors including GNSS and magnetometers to estimate the position, velocity and attitude, or…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Pieter van Goor , Tarek Hamel , Robert Mahony

This paper addresses the issues of unmanned aerial vehicle (UAV) indoor navigation, specifically in areas where GPS and magnetometer sensor measurements are unavailable or unreliable. The proposed solution is to use an error state extended…

Robotics · Computer Science 2021-09-13 Lovro Markovic , Marin Kovac , Robert Milijas , Marko Car , Stjepan Bogdan

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

Robotics · Computer Science 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

Machine Learning · Computer Science 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

We study the problem of semi-blind channel estimation and symbol detection in the uplink of multi-cell massive MIMO systems with spatially correlated time-varying channels. An algorithm based on expectation propagation (EP) is developed to…

Information Theory · Computer Science 2022-12-06 Mort Naraghi-Pour , Mohammed Rashid , Cesar Vargas-Rosales

This paper proposes a novel approach to improve the performance of the extended Kalman filter (EKF) for the problem of mobile robot localization. A fuzzy logic system is employed to continuous-ly adjust the noise covariance matrices of the…

Robotics · Computer Science 2021-05-07 Thi Thanh Van Nguyen , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

The traditional GNSS-aided inertial navigation system (INS) usually exploits the extended Kalman filter (EKF) for state estimation, and the initial attitude accuracy is key to the filtering performance. To spare the reliance on the initial…

Systems and Control · Electrical Eng. & Systems 2023-11-16 Wei Ouyang , Yutian Wang , Yuanxin Wu

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

Machine Learning · Computer Science 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

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

Vision-aided localization for low-cost mobile robots in diverse environments has attracted widespread attention recently. Although many current systems are applicable in daytime environments, nocturnal visual localization is still an open…

Robotics · Computer Science 2024-03-05 Tianxiao Gao , Mingle Zhao , Chengzhong Xu , Hui Kong

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

Machine Learning · Statistics 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

Various methods have been proposed for the nonlinear filtering problem, including the extended Kalman filter (EKF), iterated extended Kalman filter (IEKF), unscented Kalman filter (UKF) and iterated unscented Kalman filter (IUKF). In this…

Methodology · Statistics 2019-09-25 John T. Kent , Shambo Bhattacharjee , Weston R. Faber , Islam I. Hussein

Autonomous mobile robots operating in novel environments depend critically on accurate state estimation, often utilizing visual and inertial measurements. Recent work has shown that an invariant formulation of the extended Kalman filter…

Robotics · Computer Science 2025-10-06 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

We present a different approach of feature point detection for improving the accuracy of SLAM using single, monocular camera. Traditionally, Harris Corner detection, SURF or FAST corner detectors are used for finding feature points of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-01 Agniva Sengupta , Shafeeq Elanattil

Invariant Extended Kalman Filter (IEKF) has been successfully applied in Visual-inertial Odometry (VIO) as an advanced achievement of Kalman filter, showing great potential in sensor fusion. In this paper, we propose partial IEKF (PIEKF),…

Robotics · Computer Science 2023-03-15 Tong Hua , Tao Li , Ling Pei

In this article, we consider the implications of unobservable subspaces in the construction of a Kalman filter. In particular, we consider dynamical systems which are invariant with respect to a group action, and which are therefore…

Optimization and Control · Mathematics 2019-01-14 Xuefeng Shen , Melvin Leok

Ubiquitous positioning for pedestrian in adverse environment has served a long standing challenge. Despite dramatic progress made by Deep Learning, multi-sensor deep odometry systems yet pose a high computational cost and suffer from…

We present Kalman-filter Assisted Reinforcement Learner (KARL) for dynamic object tracking and grasping over eye-on-hand (EoH) systems, significantly expanding such systems capabilities in challenging, realistic environments. In comparison…

Robotics · Computer Science 2025-06-23 Kowndinya Boyalakuntla , Abdeslam Boularias , Jingjin Yu

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

Robotics · Computer Science 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss

This paper is concerned with optimal control problems for control systems in continuous time, and interacting particle system methods designed to construct approximate control solutions. Particular attention is given to the linear quadratic…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Anant Joshi , Amirhossein Taghvaei , Prashant G. Mehta , Sean P. Meyn