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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2016 Volume 3, Issue 3, Pages 68–73 (Mi jcem72)

This article is cited in 14 papers

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On mathematical modeling of the measurement transducers

Yu. V. Khudyakov

South Ural State University, Chelyabinsk, Russia

Abstract: The article presents a generalized mathematical model of the measurement transducer, which is based on a system of Leontiev type, that is a degenerate system of linear ordinary differential equations. We consider examples of the theory of descriptor systems, which show that the Leontiev type system is a part of models, which are also studied by the automatic control theory. Unlike previously studied mathematical models of the measurement transducer, an additional term is introduced in the system of algebraic equations of its generalized model. This term is necessary in order to consider not only the inertial of measurement transducer, but also the noises. We present the diagrams of different measurement transducers, such that their mathematical description leads to the construction of a generalized mathematical model of the measurement transducer.

Keywords: Leontief type system, dynamic measurements, descriptor systems, the theory of optimal measurement, the measurement transducer.

UDC: 517.9

MSC: 93C23

Received: 07.09.2016

Language: English

DOI: 10.14529/jcem160308



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