The mathematical models of exchange processes for identification and control of electromechanical objects

The issues of constructing mathematical models for systems that, in addition to the object, include a power converter, a measuring system and an on-board computer are considered. The last three elements are united by a single concept – «device». It is shown that the newly obtained «device–object» system, under certain conditions, should be considered and described as a single whole when solving problems of identification and control. Using a heuristic method, mathematical models of the «device–object» system are constructed and justified, in particular, the system of exchange equations, the exchange function and the Green’s function in the coordinate-time and pulse-energy representation.

Authors: A. Yu. Omelchenko

Direction: Electrical Engineering

Keywords: measuring and control device, exchange mechanics, quantum of action, Green's function, «device-object» system, exchange function, exchange equation, impulse-energy representation, coordinate-time representation, complex action

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