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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v36.i1.50
pages 38-49

Contradiction between Conditions of Mean-Root Square Error Minimization and Integral Root Mean Estimate in Tracking Systems with the Principle of Deviation Control

Grigoriy F. Zaitsev
State University of Information and Communication Technologies, Kiev
Grigoriy D. Radzivilov
Kiev Military Institute of Telecommunication and Informatics of National Technical University of Ukraine "Kiev Polytechnical Institute", Ukraine
Nelya V. Gradoboyeva
State University of Information and Communication Technologies, Kiev, Ukraine


It is shown that in contrast to open-loop systems peculiarity of automatic control systems with control principle based on deviation (systems with negative feedback) consists in contradiction between conditions of minimality of error and quadratic integral estimate of transient processes on entering its input of one random set-point action. It was ascertained that the minimal value of mean-root square error for these systems is reached for values of their amplification factor for open-loop state close to stability threshold, when slowly decreasing transient processes arise (considerable quadratic integral estimates). We construct recommendations for compromise selection of amplification factor of the tracking system.