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Measured data from a dynamical system can be assimilated into a predictive model by means of Kalman filters. Nonlinear extensions of the Kalman filter, such as the Extended Kalman Filter (EKF), are required to enable the joint estimation of…

Dynamical Systems · Mathematics 2024-10-07 Luca Rosafalco , Paolo Conti , Andrea Manzoni , Stefano Mariani , Attilio Frangi

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

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

A framework for tightly integrated motion mode classification and state estimation in motion-constrained inertial navigation systems is presented. The framework uses a jump Markov model to describe the navigation system's motion mode and…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Isaac Skog , Gustaf Hendeby , Manon Kok

Accurate relative positioning is crucial for swarm aerial robotics, enabling coordinated flight and collision avoidance. Although vision-based tracking has been extensively studied, 3D LiDAR-based methods remain underutilized despite their…

Robotics · Computer Science 2026-03-17 Nivand Khosravi , Meysam Basiri , Rodrigo Ventura

This paper addresses the localization problem. The extended Kalman filter (EKF) is employed to localize a unicycle-like mobile robot equipped with a laser range finder (LRF) sensor and an omni-directional camera. The LRF is used to scan the…

Robotics · Computer Science 2016-11-30 Tran Hiep Dinh , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

This paper deals with the implementation of the extended robust Kalman filter (ERKF) which was developed considering uncertainties in the parameter matrices of the underlying state-space model. A key contribution of this work is the…

Systems and Control · Computer Science 2018-01-16 Gaurav Yengera , Roberto Inoue , Mundla Narasimhappa , Marco H. Terra

This paper introduces the ensemble directional Kalman filter (EnDKF), an ensemble-based Kalman filtering approach for pose tracking that jointly estimates an object's position and attitude using ideas from directional statistics. The EnDKF…

Machine Learning · Computer Science 2026-05-06 Tianlu Lu , Asif Sijan , Thomas Noh , Huaijin Chen , Andrey A. Popov

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

We present a comprehensive framework for fusing measurements from multiple and generally placed accelerometers and gyroscopes to perform inertial navigation. Using the angular acceleration provided by the accelerometer array, we show that…

Signal Processing · Electrical Eng. & Systems 2022-01-31 Håkan Carlsson , Isaac Skog , Gustaf Hendeby , Joakim Jaldén

In the field of gas pipeline location, existing pipeline location methods mostly rely on pipeline location instruments. However, when faced with complex and curved pipeline scenarios, these methods often fail due to problems such as cable…

Robotics · Computer Science 2025-12-29 Yan Gao , Jiliang Wang , Minghan Wang , Xiaohua Chen , Demin Chen , Zhiyong Ren , Tian-Yun Huang

Motion estimation is a crucial component in multi-object tracking (MOT). It predicts the trajectory of objects by analyzing the changes in their positions in consecutive frames of images, reducing tracking failures and identity switches.…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Jian Song , Wei Mei , Yunfeng Xu , Qiang Fu , Renke Kou , Lina Bu , Yucheng Long

We propose the use of the Extended Kalman Filter (EKF) for online data assimilation and update of a dynamic model, preliminary identified through the Sparse Identification of Nonlinear Dynamics (SINDy). This data-driven technique may avoid…

Dynamical Systems · Mathematics 2024-11-08 Luca Rosafalco , Paolo Conti , Andrea Manzoni , Stefano Mariani , Attilio Frangi

This tutorial presents a control-oriented introduction to aided inertial navigation systems using a Lie-group formulation centered on the extended Special Euclidean group SE_2(3). The focus is on developing a clear and…

Robotics · Computer Science 2026-03-10 Soulaimane Berkane

Most works on joint state and unknown input (UI) estimation require the assumption that the UIs are linear; this is potentially restrictive as it does not hold in many intelligent autonomous systems. To overcome this restriction and…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Junn Yong Loo , Ze Yang Ding , Vishnu Monn Baskaran , Surya Girinatha Nurzaman , Chee Pin Tan

This paper proposes a novel learning approach for designing Kazantzis-Kravaris/Luenberger (KKL) observers for autonomous nonlinear systems. The design of a KKL observer involves finding an injective map that transforms the system state into…

Systems and Control · Electrical Eng. & Systems 2025-11-26 M. Umar B. Niazi , John Cao , Matthieu Barreau , Karl Henrik Johansson

In this paper, we first review the theory of symmetry-preserving observers and we mention some recent results. Then, we apply the theory to Extended Kalman Filter-based Simultaneous Localization and Mapping (EKF SLAM). It allows to derive a…

Optimization and Control · Mathematics 2011-05-12 Silvere Bonnabel

State-of-the-art robotic perception systems have achieved sufficiently good performance using Inertial Measurement Units (IMUs), cameras, and nonlinear optimization techniques, that they are now being deployed as technologies. However, many…

A dynamic weighted directed graph (DWDG) is commonly encountered in various application scenarios. It involves extensive dynamic interactions among numerous nodes. Most existing approaches explore the intricate temporal patterns hidden in a…

Artificial Intelligence · Computer Science 2024-08-01 Hongxun Zhou , Xiangyu Chen , Ye Yuan

This study introduces a novel methodology for controlling Quadrotor Unmanned Aerial Vehicles, focusing on Hierarchical Sliding Mode Control strategies and an Extended Kalman Filter. Initially, an EKF is proposed to enhance robustness in…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Van Chung Nguyen , Hung Manh La
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