SOLUTION OF THE PROBLEM OF HIGH-PRECISION POSITIONING OF AUTOMOBILE TRANSPORT ON THE BASIS OF THE USE OF ELECTRONIC MAPS

Abstract

The solution of the problem of positioning of moving objects is now increasingly carried out using electronic maps, allowing approximating with high accuracy the trajectory of the object by a set of orthodromic trajectories. Such studies are typical for such applications as space exploration, marine science, point agriculture, geographic information systems and, especially, road transport, where the movement in most cases is carried out on well-known with high accuracy trajectories. Using the functional dependence of the navigation variables in the Greenwich (geocentric) coordinate system, which is widely used in modern navigation, this article provides an analytical solution to the navigation problem of transport objects moving along known trajectories approximated by orthodromic intervals. This solution makes it possible to improve the positioning accuracy of road transport, as well as provides a reduction in the hardware composition of the measuring complex of moving objects and computational costs for the implementation of the navigation algorithm. In order to illustrate the possibility of its practical application in this research, the numerical simulation of the positioning algorithm using noisy odometric and velocity measurements with their subsequent processing in a linear Kalman filter is carried out. The simulation results allow us to conclude that it is possible to provide high accuracy positioning of transport objects moving along known trajectories using the developed approach at computational cost, allowing the implementation of the proposed algorithm in real time due to the small dimension of used linear Kalman filter. Due to the functional dependence of the navigation variables existing on this trajectory in the article an analytical solution of the navigation problem of transport objects moving along known trajectories approximated by orthodromic intervals is obtained in the Greenwich (geocentric) coordinate system widely used in modern navigation. This solution makes it possible to improve the positioning accuracy of road transport, as well as provides a reduction in the hardware composition of the measuring complex of moving objects and computational costs for the implementation of the navigation algorithm. In order to illustrate the possibility of its practical application the numerical simulation of the positioning algorithm using noisy odometric and velocity measurements with their subsequent processing in a linear Kalman filter is carried out. The simulation results allow us to conclude that it is possible to provide high accuracy positioning of transport objects moving along known trajectories using the developed approach at computational cost, allowing the implementation of the proposed algorithm in real time due to the small dimension of used linear Kalman filter.

Keywords

• Great-circle trajectories
• navigation
• automobile transport