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Calculation of the permissible time delay of discrete samples during real-time measurements
https://doi.org/10.372446/0368-1025it.2022-6-23-27
Abstract
The article deals with the improvement of the measurement accuracy in automatic systems of operative control and regulation by taking into account the error caused by the time delay of discrete counting of the measured quantity in real time mode. It is shown that at dynamic measurements of random processes in servo systems it is necessary to take into account the subjective factor of determining the dynamics of measured quantities, which consists in the method of assigning the maximum frequency of the spectrum of initial processes. At calculation of an admissible time delay of receiving results of discrete-time measurements in a real time mode an extrapolation error was accepted as a dynamic error. Analytical expressions for determination of the required operability of discrete measurements of continuous quantities taking into account the admissible extrapolation error and the subjective factor of assignment of the maximum frequency of the spectrum of the initial process are obtained. Three common models of the measured quantity where the energy spectrum and correlation function of the desired random quantity are represented as a response to white noise of ideal, RC- and Gaussian low-pass filters have been considered. The admissible time delays of discrete samples depending on the admissible extrapolation error, the method of extrapolation and the maximum frequency of the spectrum of the measured quantity for real-time measurements are calculated. It is shown that at a priori uncertainty in relation to the measured model and extrapolation from one or two samples it is necessary to use the zero-order extrapolator as a prediction algorithm to calculate the admissible time delay. The scientific results obtained in the paper will be of interest for specialists in the field of tracking systems, telemechanics, guidance, operational control and regulation systems for real time measurements in the reverse information channel.
About the Authors
G. I. Kozyrev
Military Space Academy named after A.F. Mozhaysky
Russian Federation
Russian Federation
Gennady I. Kozyrev
St. Petersburg
A. V. Kibenko
Military Space Academy named after A.F. Mozhaysky
Russian Federation
Russian Federation
Aleksandr V. Kibenko
St. Petersburg
V. D. Usikov
Main Scientific Metrological Center of the Ministry of Defense of the Russian Federation,
Russian Federation
Russian Federation
Valentin D. Usikov
Mytishchi, Moscow region
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Review
For citations:
Kozyrev G.I., Kibenko A.V., Usikov V.D. Calculation of the permissible time delay of discrete samples during real-time measurements. Izmeritel`naya Tekhnika. 2022;(6):23-27. (In Russ.) https://doi.org/10.372446/0368-1025it.2022-6-23-27
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