Modeling of vehicle movement in computer information-control systems

The subject of the article is the processes of synthesis of a mathematical model of control objects functioning in computer information-control systems of critical purpose for the needs of high-speed railway transport. The main emphasis is on modeling the movement of a passenger train in the high-speed system of Ukrzaliznytsia. The aim is to study the process of regulating the speed of railway vehicles under conditions of uncertainty in the primary information of microprocessor information-control systems of railway transport. Tasks: determination of the criterion of the safety of railway vehicle auto control; obtain a mathematical model of train movement under conditions of uncertainty; check the adequacy of the model. The method used is the mathematical apparatus of discrete models. The following results have been obtained. The mathematical model of train movement developed in this work includes not only information on train position, reference point, direction, and speed of the vehicle but also a variable control indicator to reflect the process of railway traffic adequately. The study shows that, based on the synthesized model, it is possible to use the so-called fuzzy distance between adjacent trains. This approach improves the accuracy of determining the critical distance between trains, the time required to eliminate the risk of collision, the start time of braking, and braking time considering the angle of inclination of the track, as well as the distance of the braking distance. The necessity to determine the control indicator, its value for many points of time, while there is a reduction in speed for the safe movement of trains. Based on the proposed mathematical model, a computer simulation of the process was performed to determine the required time reserve for the train driver to respond to changes in the speed of the previous train, as well as speed ranges that require immediate emergency action. Conclusions. The scientific novelty of the obtained results is the development of a mathematical model of the behavior of mobile units in computer systems for critical use for the needs of railway transport in the presence of failures in the primary information from sensors that record motion parameters. The behavior of the control system at different values of train speed and changes in the value of the interval of the accompanying journey is studied. The theory of traction calculations in computer control systems for mobile units has been further developed. The obtained scientific results will be used in the development of an application program for many critical computer systems for railway.