The Problem of Aperture Delay in Digital Measurement Systems and its Analytic Solution by the Matrix Exponential Method
- Authors: Nagiev A.G.1, Sadikhov V.V.2, Nagiev G.A.2,3
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Affiliations:
- Sumgait State University
- Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
- Institute of Control Systems, National Academy of Sciences of Azerbaijhan
- Issue: Vol 60, No 9 (2017)
- Pages: 874-880
- Section: Measurements in Information Technologies
- URL: https://journals.rcsi.science/0543-1972/article/view/246269
- DOI: https://doi.org/10.1007/s11018-017-1286-0
- ID: 246269
Cite item
Abstract
A method of analytic solution of the problem of aperture delay in digital systems used for the measurement of the controlled state variables of linear deterministic systems is proposed. The mathematical apparatus for deriving an explicit form of the solution of linear differential equations, which is based on the matrix exponential operator and yields a low computer time, is used. It is shown that the proposed method may be effectively used to eliminate aperture delays if the measured parameters are dynamically related state variables of the controlled system. An algorithm and example of a solution that illustrates the efficiency of the proposed method are presented.
About the authors
A. G. Nagiev
Sumgait State University
Email: izmt@vniims.ru
Azerbaijan, Sumgait
V. V. Sadikhov
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Email: izmt@vniims.ru
Azerbaijan, Baku
G. A. Nagiev
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan; Institute of Control Systems, National Academy of Sciences of Azerbaijhan
Email: izmt@vniims.ru
Azerbaijan, Baku; Baku