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Modelling and Data Analysis
2021. Vol. 11, no. 1, 20–32
doi:10.17759/mda.2021110102
ISSN: 2219-3758 / 2311-9454 (online)

On a Method for Constructing a Linear Nonstationary Discrete System with Full-Dimensional Controlby Changing the Quantization Step

83

D.N. Ibragimov, N.M. Novozhilkin

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Abstract

The method that allows one to reduce a stationary system with control of incomplete dimension to a non-stationary periodic system with control of full dimension is considered in this article. The paper proves the equivalence of these systems, and also that the optimal in terms of speed for a non-stationary system is also optimal for the original stationary system. A satellite attitude control system is considered as an example.

General Information

Keywords: linear discrete-time control system, performance problem, set of controllability.

Journal rubric: Control Theory

DOI: https://doi.org/10.17759/mda.2021110102

Funding. The work was carried out with the financial support of the RFBR grant No. 18–08–00128-a.

For citation: Ibragimov D.N., Novozhilkin N.M. On a Method for Constructing a Linear Nonstationary Discrete System with Full-Dimensional Controlby Changing the Quantization Step. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 1, pp. 20–32. DOI: 10.17759/mda.2021110102. (In Russ., аbstr. in Engl.)

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Information About the Authors

Danis N. Ibragimov, PhD in Physics and Matematics, Associate Professor of the Department of Probability Theory and Computer Modeling, Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0000-0001-7472-5520, e-mail: rikk.dan@gmail.com

Nikita M. Novozhilkin, Moscow Aviation Institute (MAI), Moscow, Russia, ORCID: https://orcid.org/0000-0003-3308-8371, e-mail: nikitanovozhilkin261@gmail.com

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