The paper gives an overview of mathematical descriptions of engine speed performance characteristics that are needed when simulation of “engine-automobile-driver-environment” systems. The analysis of models based on different classes of functions is given; its advantages and disadvantages are discussed. The regression model based on the use of functions closely related to the physics of investigated processes is proposed.

The results of the simulation of automobile rectilinear motion are provided in the paper. An overview of some of the existing models was made. The analysis was performed in order to obtain analytical information about the balance of effective forces and resistance forces of an object in free-wheel mode. The reliable mathematical description is needed to develop models of human- machine system “automobile - environment - driver” and to study the influence of various fac- tors on the performance of control object.

The paper discusses factors that influence the process of tires air pressure. The consequences of non-compliance of normalized pressure in tires of vehicle are studied.