GEOMETRIC CONTROL THEORY IN THE PROBLEM OF OPTIMIZATION OF ENERGY CONSUMPTION OF TRACTION ROLLING STOCK
In the course of the study, by means of involutive distributions of geometric control theory, the authors produced a workable linear mathematical model of the motion of a diesel train with two equivalent electric traction drives, which is equivalent to a non-linear mathematical model, described by a system of nonlinear ordinary differential equations of the 24-th order with four controls. With the help of the maximum principle there were resolved two tasks of optimal control of the traction drive: maximum performance and minimization of the weighted linear combination of time and cost control of a square. This allowed, on the one hand, to receive control laws for each section of railway track, that specify the minimum time necessary to overcome the haul, on the other hand, to receive the control laws ensuring the timetable and minimizing the consumption of fuel and energy resources.
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