Control the moving objects and navigation

Stochastic control of the maneuver to bypass the group of the moving spatial domains

S. V. Sokolov^a, L. V. Sakharova^a, A. A. Manin<sup>b

a</sup> Rostov State University of Economics
^b Moscow Technical University of Communications and Informatics

Abstract: The problem is solved of the stochastic control of the moving object maneuvering to minimize the probability for it to get into a coverage area of measuring devices of a group of mobile tracking units, keeping the track of it. The moving object control is realized based on a posteriori estimates of both the vector of its own state as well as the vectors of the state of the group of mobile tracking units, obtained from the readings of the measuring instruments located directly on an object board. An example is given illustrating the effectiveness of the approach proposed.

Keywords: mobile object, group of mobile tracking units, a posteriori estimation, stochastic control, probability of existence of the state vector.

UDC: 62-50

DOI: 10.25728/pu.2018.6.9