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Geometrical theory of control in the problems of minimizing the energy consumption for a traction electric drive
(Донбаська державна машинобудівна академія, 2018) Dmitrienko, V. D.; Zakovorotniy, A. Y.; Noskov, V. I.; Mezentsev, N. V.; Glavchev, D. M.; Kharchenko, A. А.
The problem of optimal control of traction rolling stock has not been solved to date, because the problem of synthesis of optimal control systems for objects described by nonlinear systems of ordinary differential equations above the second order is not solved. In order to solve the problem of the synthesis of control systems for nonlinear objects, new methods of linearization based on geometric methods have recently been developed. These methods allow linearization of nonlinear control systems using feedback in the "input-state" space when the output variables are used for control and linearization. The solution of the problem of controlling a diesel train with a traction asynchronous drive is given by means of the linearization method in the "input-state" space for the case when the control object is described by the system of ordinary nonlinear differential equations of the 23rd order. As a result of linearization, a linear mathematical model of a control object in the form of Brunovsky is obtained, which allows using the principle of maximum to obtain the laws of control of the diesel train, providing a schedule of motion with a minimum fuel consumption.