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An extended Kalman filter (EKF) is developed on the special Euclidean group, SE(3) for geometric control of a quadrotor UAV. It is obtained by performing an extensive linearization on SE(3) to estimate the state of the quadrotor from noisy…

Optimization and Control · Mathematics 2016-05-10 Farhad A. Goodarzi , Taeyoung Lee

A filter for inertial-based odometry is a recursive method used to estimate the pose from measurements of ego-motion and relative pose. Currently, there is no known filter that guarantees the computation of a globally optimal solution for…

Robotics · Computer Science 2024-02-08 Xinghan Li , Haoying Li , Guangyang Zeng , Qingcheng Zeng , Xiaoqiang Ren , Chao Yang , Junfeng Wu

Practical Bayes filters often assume the state distribution of each time step to be Gaussian for computational tractability, resulting in the so-called Gaussian filters. When facing nonlinear systems, Gaussian filters such as extended…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Wenhan Cao , Tianyi Zhang , Zeju Sun , Chang Liu , Stephen S. -T. Yau , Shengbo Eben Li

This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a…

Optimization and Control · Mathematics 2020-08-04 Dionysis Theodosis , Soulaimane Berkane , Dimos V. Dimarogonas

Continuous navigation in complex environments is critical for Unmanned Aerial Vehicle (UAV). However, the existing Vision-Language Navigation (VLN) models follow the dead-reckoning, which iteratively updates its position for the next…

Robotics · Computer Science 2026-05-08 Yin Tang , Jiawei Ma , Jinrui Zhang , Alex Jinpeng Wang , Deyu Zhang

Most of the existing LiDAR-inertial navigation systems are based on frame-to-map registrations, leading to inconsistency in state estimation. The newest solid-state LiDAR with a non-repetitive scanning pattern makes it possible to achieve a…

Robotics · Computer Science 2023-07-14 Hailiang Tang , Tisheng Zhang , Xiaoji Niu , Liqiang Wang , Linfu Wei , Jingnan Liu

This article proposes a visual inertial navigation algorithm intended to diminish the horizontal position drift experienced by autonomous fixed wing UAVs (Unmanned Air Vehicles) in the absence of GNSS (Global Navigation Satellite System)…

Robotics · Computer Science 2023-08-17 Eduardo Gallo , Antonio Barrientos

Global Positioning System (GPS) navigation provides accurate positioning with global coverage, making it a reliable option in open areas with unobstructed sky views. However, signal degradation may occur in indoor spaces and urban canyons.…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Simegnew Yihunie Alaba

Control performance of Unmanned Aerial Vehicles (UAVs) is directly affected by their ability to estimate their states accurately. With the increasing popularity of autonomous UAV solutions in real world applications, it is imperative to…

Robotics · Computer Science 2021-06-15 Mohamad Wahbah , Mohamad Chehadeh , Yahya Zweiri

The Geometrically Intrinsic Nonlinear Recursive Filter, or GI Filter, is designed to estimate an arbitrary continuous-time Markov diffusion process X subject to nonlinear discrete-time observations. The GI Filter is fundamentally different…

Optimization and Control · Mathematics 2007-05-23 R. W. R. Darling

This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU,…

Modern power systems face new operational hurdles due to the increasing adoption of inverter-coupled distributed energy resources, which impact system stability and control. Central to these challenges is the dynamic nature of grid…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Phuoc Sang Nguyen , Ghavameddin Nourbakhsh , Gerard Ledwich

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

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…

The Kalman filter (KF) is used in a variety of applications for computing the posterior distribution of latent states in a state space model. The model requires a linear relationship between states and observations. Extensions to the Kalman…

Machine Learning · Statistics 2016-08-31 Michael C. Burkhart , David M. Brandman , Carlos E. Vargas-Irwin , Matthew T. Harrison

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

An Inertial Navigation System (INS) is a system that integrates acceleration and angular velocity readings from an Inertial Measurement Unit (IMU), along with other sensors such as Global Navigation Satellite Systems (GNSS) position, GNSS…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Pieter van Goor , Tarek Hamel , Robert Mahony

Localization in indoor environments is a technique which estimates the robot's pose by fusing data from onboard motion sensors with readings of the environment, in our case obtained by scan matching point clouds captured by a low-cost…

Systems and Control · Computer Science 2015-03-05 Martin Barczyk , Silvère Bonnabel , Jean-Emmanuel Deschaud , François Goulette

The Kalman Filter (KF) is a powerful mathematical tool widely used for state estimation in various domains, including Simultaneous Localization and Mapping (SLAM). This paper presents an in-depth introduction to the Kalman Filter and…

Robotics · Computer Science 2024-07-01 Gyubeom Im

It is commonly expected that future fifth generation (5G) networks will be deployed with a high spatial density of access nodes (ANs) in order to meet the envisioned capacity requirements of the upcoming wireless networks. Densification is…

Information Theory · Computer Science 2016-08-15 Mike Koivisto , Mário Costa , Aki Hakkarainen , Kari Leppänen , Mikko Valkama