Mathematical Models of Optimal Movement of Electric Car with Asynchronous Electric Drive on a Horizontal Section of the Road with the existing Settlement on it and a Stop in this Settlement

In our works [1]—[6], the problem of synthesizing mathematical models of optimal movement of an electric vehicle with an asynchronous electric drive both along a horizontal road segment, and in the presence of descents, ascents and turns, according to the criterion of minimum power battery charge consumption, but only on the condition that the electric vehicle must travel from one point to another in a certain period of time and taking into account the limitation caused by the dynamics of the electric vehicle, is solved. In this work, it is shown that the motion of the electric vehicle through a settlement from the standpoint of its optimization is significantly different from the movement outside this settlement, and it is proved that the algorithm for synthesizing models of optimal motion of the electric vehicle with asynchronous electric drive along a horizontal road segment, which takes into account in the Lagrange function only the limitation on overcoming a certain distance in a given time and the limitations caused by the dynamics of the electric vehicle, does not allow synthesizing models of optimal movement of this electric vehicle if there is a settlement on this horizontal road segment. It is shown what form the Lagrange function takes when the problem of synthesizing models of optimal movement of the electric vehicle along a horizontal road segment requires the appearance of a settlement on this segment to be taken into account. Mathematical models of optimal movement of the electric vehicle along a horizontal road segment based on the criterion of minimum power battery charge costs with a stop within the settlement and with the start of its movement both within the same settlement and beyond its borders have been synthesized. The synthesized mathematical models, after their identification, can be used in artificial intelligence training programs with a specific purpose for controlling electric vehicles with the asynchronous electric drive.