Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach

The rise of autonomous systems operating close to humans imposes new challenges in terms of robustness and precision on the estimation and control algorithms. Approaches based on nonlinear optimization, such as moving horizon estimation, have been shown to improve the accuracy of the estimated solut...

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Main Authors: Fabian Girrbach, Jeroen D. Hol, Giovanni Bellusci, Moritz Diehl
Format: Article
Language:English
Published: MDPI AG 2017-05-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/17/5/1159
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author Fabian Girrbach
Jeroen D. Hol
Giovanni Bellusci
Moritz Diehl
author_facet Fabian Girrbach
Jeroen D. Hol
Giovanni Bellusci
Moritz Diehl
author_sort Fabian Girrbach
collection DOAJ
description The rise of autonomous systems operating close to humans imposes new challenges in terms of robustness and precision on the estimation and control algorithms. Approaches based on nonlinear optimization, such as moving horizon estimation, have been shown to improve the accuracy of the estimated solution compared to traditional filter techniques. This paper introduces an optimization-based framework for multi-sensor fusion following a moving horizon scheme. The framework is applied to the often occurring estimation problem of motion tracking by fusing measurements of a global navigation satellite system receiver and an inertial measurement unit. The resulting algorithm is used to estimate position, velocity, and orientation of a maneuvering airplane and is evaluated against an accurate reference trajectory. A detailed study of the influence of the horizon length on the quality of the solution is presented and evaluated against filter-like and batch solutions of the problem. The versatile configuration possibilities of the framework are finally used to analyze the estimated solutions at different evaluation times exposing a nearly linear behavior of the sensor fusion problem.
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spelling doaj.art-eb17aa514ef24bcab1ea3b32d152248b2022-12-22T04:09:41ZengMDPI AGSensors1424-82202017-05-01175115910.3390/s17051159s17051159Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon ApproachFabian Girrbach0Jeroen D. Hol1Giovanni Bellusci2Moritz Diehl3Xsens Technologies B.V., Enschede 7521 PR, The NetherlandsXsens Technologies B.V., Enschede 7521 PR, The NetherlandsXsens Technologies B.V., Enschede 7521 PR, The NetherlandsDepartment of Microsystems Engineering (IMTEK), University of Freiburg, 79110 Freiburg, GermanyThe rise of autonomous systems operating close to humans imposes new challenges in terms of robustness and precision on the estimation and control algorithms. Approaches based on nonlinear optimization, such as moving horizon estimation, have been shown to improve the accuracy of the estimated solution compared to traditional filter techniques. This paper introduces an optimization-based framework for multi-sensor fusion following a moving horizon scheme. The framework is applied to the often occurring estimation problem of motion tracking by fusing measurements of a global navigation satellite system receiver and an inertial measurement unit. The resulting algorithm is used to estimate position, velocity, and orientation of a maneuvering airplane and is evaluated against an accurate reference trajectory. A detailed study of the influence of the horizon length on the quality of the solution is presented and evaluated against filter-like and batch solutions of the problem. The versatile configuration possibilities of the framework are finally used to analyze the estimated solutions at different evaluation times exposing a nearly linear behavior of the sensor fusion problem.http://www.mdpi.com/1424-8220/17/5/1159multi-sensor fusionstate estimationmoving horizon estimationnonlinear optimizationinertial navigation
spellingShingle Fabian Girrbach
Jeroen D. Hol
Giovanni Bellusci
Moritz Diehl
Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
Sensors
multi-sensor fusion
state estimation
moving horizon estimation
nonlinear optimization
inertial navigation
title Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
title_full Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
title_fullStr Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
title_full_unstemmed Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
title_short Optimization-Based Sensor Fusion of GNSS and IMU Using a Moving Horizon Approach
title_sort optimization based sensor fusion of gnss and imu using a moving horizon approach
topic multi-sensor fusion
state estimation
moving horizon estimation
nonlinear optimization
inertial navigation
url http://www.mdpi.com/1424-8220/17/5/1159
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AT giovannibellusci optimizationbasedsensorfusionofgnssandimuusingamovinghorizonapproach
AT moritzdiehl optimizationbasedsensorfusionofgnssandimuusingamovinghorizonapproach