DefinePK

Abstract

The existing algorithms of satellite measurements processing at estimation of mobile objects navigational parameters are employing either different modifications of the least-squares method or multifarious options of Kalman’s filter. The last method requires for compulsory knowledge of motion equations of each specific object. In this article we used another approach- application of methods of stochastic filtering for processing of satellite measurements. In the most general case of their use will allow to increase considerably the precision of navigational parameters determination owing to withdrawal from different simplifying allowances (linearization, additional information on object, on noises, etc.), used in existing algorithms of satellite navigation. For solving this task a number models were synthesised: invariant continuous model of an object navigational parameters variation, spatial model of trajectory, great circle model of trajectories in the Greenwich CS, loxodromic model of trajectories in the Greenwich CS, invariant model of object navigational parameters on the spatial trajectories. For illustration of efficiency of the offered approach it was carried out the modelling of filtering algorithm for combined equations \object-observer" by method of Runge -Kutte of the 4th order. An object motion was set on great circle curve and the law of object velocity module variation: V= 10 (1+sin 0.005t) m/sec. As a model of noise measuring the additive WGN with zero average of distribution and intensity was employed for: coded measuring - (10m) 2sec, the Doppler measuring - (0.25m/sec) 2sec. On termination of time interval of modelling operation the peak errors of components of coordinate vector are less then 4 m, which testifies to possibility of very effective practical use of the offered approach. The research results outlined in this paper were obtained with financial support from Ministry of Education and Science of the Russian Federation, as part of the execution of the project entitled “Establishment of high-tech production for the manufacture of complex reconfigurable systems of high-precision positioning of objects on the basis of satellite systems of navigation, local networks of laser and microwave beacons and technology MEMS”, pursuant to decree of the government of the Russian Federation No 218 issued on April 09, 2010. The researches were carried out in SFU.