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The main contribution of this paper is a high frequency, low-complexity, on-board visual-inertial odometry system for quadrotor micro air vehicles. The system consists of an extended Kalman filter (EKF) based state estimation algorithm that…

Robotics · Computer Science 2016-07-07 Dinuka Abeywardena , Shoudong Huang , Ben Barnes , Gamini Dissanayake , Sarath Kodagoda

We present a robust control and estimation framework for quadrotors operating in Global Navigation Satellite System(GNSS)-denied, non-inertial environments where inertial sensors such as Inertial Measurement Units (IMUs) become unreliable…

Robotics · Computer Science 2026-02-05 Riming Xu , Obadah Wali , Yasmine Marani , Eric Feron

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

This paper describes the synthesis and evaluation of a novel state estimator for a Quadrotor Micro Aerial Vehicle. Dynamic equations which relate acceleration, attitude and the aero-dynamic propeller drag are encapsulated in an extended…

Robotics · Computer Science 2015-09-14 Dinuka Abeywardena , Sarath Kodagoda , Gamini Dissanayake , Rohan Munasinghe

This document describes standard approaches for filtering and estimation for quadrotors, created for the Udacity Flying Cars course. We assume previous knowledge of probability and some knowledge of linear algebra. We do not assume previous…

Robotics · Computer Science 2018-09-05 Stefanie Tellex , Andy Brown , Sergei Lupashin

This article examines state estimation in discrete-time nonlinear stochastic systems with finite-dimensional states and infinite-dimensional measurements, motivated by real-world applications such as vision-based localization and tracking.…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Maxwell M. Varley , Timothy L. Molloy , Girish N. Nair

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

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

In many physical applications, the system's state varies with spatial variables as well as time. The state of such systems is modelled by partial differential equations and evolves on an infinite-dimensional space. Systems modelled by…

Optimization and Control · Mathematics 2022-02-17 Sepideh Afshar , Fabian Germ , Kirsten A. Morris

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

This paper investigates the robot state estimation problem within a non-inertial environment. The proposed state estimation approach relaxes the common assumption of static ground in the system modeling. The process and measurement models…

Robotics · Computer Science 2024-03-26 Zijian He , Sangli Teng , Tzu-Yuan Lin , Maani Ghaffari , Yan Gu

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

Equivariance is a common and natural property of many nonlinear control systems, especially those associated with models of mechatronic and navigation systems. Such systems admit a symmetry, associated with the equivariance, that provides…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Robert Mahony , Pieter van Goor , Tarek Hamel

Advanced driver assistance systems are critically dependent on reliable and accurate information regarding a vehicles' driving state. For estimation of unknown quantities, model-based and learning-based methods exist, but both suffer from…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jan-Hendrik Ewering , Zygimantas Ziaukas , Simon F. G. Ehlers , Thomas Seel

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

This article introduces a new algorithm for nonlinear state estimation based on deterministic sigma point and EKF linearized framework for priori mean and covariance respectively. This method reduces the computation cost of UKF about 50%…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Milad Behvandi , Mohammad Azam Khosravi , Amir Abolfazl Suratgar

The widely-used Extended Kalman Filter (EKF) provides a straightforward recipe to estimate the mean and covariance of the state given all past measurements in a causal and recursive fashion. For a wide variety of applications, the EKF is…

Robotics · Computer Science 2023-03-28 Stephanie Tsuei , Stefano Soatto , Paulo Tabuada , Mark B. Milam

This paper introduces a framework for state estimation on a humanoid robot platform using only common proprioceptive sensors and knowledge of leg kinematics. The presented approach extends that detailed in [1] on a quadruped platform by…

Robotics · Computer Science 2014-12-11 Nicholas Rotella , Michael Bloesch , Ludovic Righetti , Stefan Schaal

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

This paper presents a solution for the state estimation and control problems for a class of unconventional vertical takeoff and landing (VTOL) UAVs operating in forward-flight conditions. A tightly-coupled state estimation approach is used…

Robotics · Computer Science 2024-03-04 Mitchell Cohen , James Richard Forbes
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