MATHEMATICAL MODEL OF TWO-AXEL VEHICLE IN THE TASK OF CONTROLLING OVER ITS MOVEMENT WITH ABSENCE OF DETOUR AND OVERTAKING

Abstract

There had been built mathematical model of two-axel vehicle, suitable for solving the problem of vehicle movement control on the main lane with the absence of detours and overtaking. The model is set in a Cartesian coordinate system with georeferencing to the map, and describes the movement of the vehicle center mass along the main lane. The paper is first in a series of articles dedicated to the development of mathematical models of different types of vehicles and car trains moving on the road with dry, wet, snow or iced asphalt coverage.