Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals

http://dx.doi.org/10.5028/jatm.v5i4.252 The nonlinear unscented Kalman filter (UKF) is evaluated for the satellite orbit determination problem, using Global Positioning System (GPS) measurements. The assessment is based on the robustness of the filter. The main subjects for the evaluation are conv...

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Main Authors: Paula C. P. M. Pardal, Helio Koiti Kuga, Rodolpho Vilhena de Moraes
Format: Article
Language:English
Published: Instituto de Aeronáutica e Espaço (IAE) 2013-11-01
Series:Journal of Aerospace Technology and Management
Subjects:
Online Access:https://www.jatm.com.br/jatm/article/view/252
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author Paula C. P. M. Pardal
Helio Koiti Kuga
Rodolpho Vilhena de Moraes
author_facet Paula C. P. M. Pardal
Helio Koiti Kuga
Rodolpho Vilhena de Moraes
author_sort Paula C. P. M. Pardal
collection DOAJ
description http://dx.doi.org/10.5028/jatm.v5i4.252 The nonlinear unscented Kalman filter (UKF) is evaluated for the satellite orbit determination problem, using Global Positioning System (GPS) measurements. The assessment is based on the robustness of the filter. The main subjects for the evaluation are convergence speed and dynamical model complexity. Such assessment is based on comparing the UKF results with the extended Kalman filter (EKF) results for the solution of the same problem. Based on the analysis of such criteria, the advantages and drawbacks of the implementations are presented. In this orbit determination problem, the focus is to analyze UKF convergence behavior using different sampling rates for the GPS signals, where scattering of measurements will be taken into account. A second aim is to evaluate how the dynamical model complexity affects the performance of the estimators in such adverse situation. After solving the real-time satellite orbit determination problem using actual GPS measurements, through EKF and UKF algorithms, the results obtained are compared in computational terms such as complexity, convergence, and accuracy.
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spelling doaj.art-9650eae48db94495b558fdb4c97b0ef12022-12-22T00:44:23ZengInstituto de Aeronáutica e Espaço (IAE)Journal of Aerospace Technology and Management2175-91462013-11-0154Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System SignalsPaula C. P. M. Pardal0Helio Koiti Kuga1Rodolpho Vilhena de Moraes2Federal University of São Paulo - Office of Science and Technology (ICT-UNIFESP)National Institute for Space Research - Space Mechanics and Control Division (INPE-DMC)Federal University of São Paulo - Office of Science and Technology (ICT-UNIFESP) http://dx.doi.org/10.5028/jatm.v5i4.252 The nonlinear unscented Kalman filter (UKF) is evaluated for the satellite orbit determination problem, using Global Positioning System (GPS) measurements. The assessment is based on the robustness of the filter. The main subjects for the evaluation are convergence speed and dynamical model complexity. Such assessment is based on comparing the UKF results with the extended Kalman filter (EKF) results for the solution of the same problem. Based on the analysis of such criteria, the advantages and drawbacks of the implementations are presented. In this orbit determination problem, the focus is to analyze UKF convergence behavior using different sampling rates for the GPS signals, where scattering of measurements will be taken into account. A second aim is to evaluate how the dynamical model complexity affects the performance of the estimators in such adverse situation. After solving the real-time satellite orbit determination problem using actual GPS measurements, through EKF and UKF algorithms, the results obtained are compared in computational terms such as complexity, convergence, and accuracy. https://www.jatm.com.br/jatm/article/view/252Orbit determinationNonlinear Kalman filterGPS measurementsReal time
spellingShingle Paula C. P. M. Pardal
Helio Koiti Kuga
Rodolpho Vilhena de Moraes
Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
Journal of Aerospace Technology and Management
Orbit determination
Nonlinear Kalman filter
GPS measurements
Real time
title Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
title_full Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
title_fullStr Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
title_full_unstemmed Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
title_short Analyzing the Unscented Kalman Filter Robustness for Orbit Determination through Global Positioning System Signals
title_sort analyzing the unscented kalman filter robustness for orbit determination through global positioning system signals
topic Orbit determination
Nonlinear Kalman filter
GPS measurements
Real time
url https://www.jatm.com.br/jatm/article/view/252
work_keys_str_mv AT paulacpmpardal analyzingtheunscentedkalmanfilterrobustnessfororbitdeterminationthroughglobalpositioningsystemsignals
AT heliokoitikuga analyzingtheunscentedkalmanfilterrobustnessfororbitdeterminationthroughglobalpositioningsystemsignals
AT rodolphovilhenademoraes analyzingtheunscentedkalmanfilterrobustnessfororbitdeterminationthroughglobalpositioningsystemsignals