Comparison of Different Bounding Methods for Providing GPS Integrity Information

verfasst von
Hani Dbouk, Steffen Schön
Abstract

Reliable computation of confidence domains for point position, and inconsistency check of the observations is of great importance for any navigation system, especially for safety critical applications. In this work, non-stochastic error bound for reaming observation errors are introduced as intervals. Using concepts from interval mathematics four different deterministic bounding methods will be applied on GPS positioning, namely: Least Squares Adjustments based on Interval Analysis (LSA-IA), extension of LSA-IA by means of Zonotopes, Linear Programing (LP) applied to the navigation equation linearized by Taylor expansion, and finally solving the non-linear navigation equation by Set Inversion Via Interval Analysis (SIVIA). These methods provide different type of confidence regions and inconsistency measures. Each method will be investigated alone, then conducting a comparison study of the mathematical properties of these methods, and providing geometrical interpretation with respect to the navigation problem (e.g. form and orientation of the bounding area w.r.t. line-of-sight and number of satellites in view). Thanks to a reduced position scatter and the implicit inconsistence measure, the LP approach seems especially promising for further investigation towards an alternative integrity concept.

Organisationseinheit(en)
Institut für Erdmessung
Typ
Aufsatz in Konferenzband
Seiten
355-366
Anzahl der Seiten
12
Publikationsdatum
07.06.2018
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Fahrzeugbau, Luft- und Raumfahrttechnik, Steuerung und Optimierung
Elektronische Version(en)
https://doi.org/10.1109/plans.2018.8373401 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“