For vehicle coordinates and velocities determination by satellites navigation system (GPS) data accessibility four or more navigation satellites are required. In this case possibility of SINS errors calculation and correction are provided. Performance of this condition not always provided. The limited availability factor especially important when working time of a navigation system is short. Probability of two satellites accessibility is significantly more. In realized integrated navigation systems at small quantity of an accessible satellites calculation of a SINS errors provided either by Kalman filter algorithms or using addition sensor information. The Kalman filter efficiency is high when action period is long-term and vehicle manoeuvrability is low. When action period is short a statistical algorithms errors maybe very large even through quantity of an accessible satellites are sufficient. For high manoeuvrability vehicles with short flight time design of a terminating algorithm for SINS errors estimation at small quantity of accessible satellites without additional sensors use is actual problem. For determinate three coordinate and three velocity vector projections of vehicle at least six navigations equations needed. When only two satellites are accessible there are four of such equations. Two missing equations may be received for condition minimum length of SINS errors vector. In that case derive conditioned extreme-value problem usually solved by methods of variation calculation. Problem analysis show up that its solution simply find by use geometrical approach. The errors values defined such that minimize length of this errors vector taking into account nonlinear equations for pseudo-ranges and pseudo-velocities calculation. A simple algorithm for errors estimates calculation, giving an exact solution of nonlinear minimization problem is received by analytic geometry methods.


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    Title :

    The method for estimation of strapdown inertial system errors in coordinates and velocities determination by information from two navigation satellites


    Additional title:

    Ein Verfahren zur Bestimmung des Fehlers von Strap-Down-Navigationssystemen bezüglich der Koordinaten und Geschwindigkeiten durch Informationen von zwei Navigationssatelliten


    Contributors:


    Publication date :

    2007


    Size :

    2 Seiten, 2 Quellen



    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




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