Using the apparatus of conjugate variables to identify and control electromechanical objects

Electromechanical systems often contain variables that share common measurement or control channels. These variables must be controlled and changed simultaneously, as well as smoothly switched. Examples of such pairs of variables include torque and position, position and speed, current and voltage, etc. These variables are called conjugate. This article examines the construction of mathematical models for the identification and control of electromechanical and electronic objects containing conjugate variables. These models are constructed using methods and elements of operator theory in functional spaces. A reduced approach to model construction, allowing simple analytics, is considered. An example of a calculation within the framework of the reduced model is presented. The analyzed research results follow from the concepts of exchange mechanics discussed in the author's previous works. The results obtained in the article can be used to construct systems for the identification and control of electromechanical objects.

Authors: A. Yu. Omelchenko

Direction: Electrical Engineering

Keywords: pulse-energy exchange, conjugate variables, quantum of action, Green's function, «device–object» system, direct problem and inverse problem of exchange mechanics, reduced model, functional space, commutator, wavelet

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