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Previous issue (2021. Vol. 11, no. 1)

Modelling and Data Analysis

Publisher: Moscow State University of Psychology and Education

ISSN (printed version): 2219-3758

ISSN (online): 2311-9454

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

License: CC BY-NC 4.0

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On a Method for Constructing a Linear Nonstationary Discrete System with Full-Dimensional Controlby Changing the Quantization Step 23

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Ibragimov D.N.
PhD in Physics and Matematics, Senior Lecturer, Moscow Aviation Institute (National Research University), Moscow, Russia
ORCID: https://orcid.org/0000-0001-7472-5520
e-mail: rikk.dan@gmail.com

Novozhilkin N.M.
Moscow, Russia
ORCID: https://orcid.org/0000-0003-3308-8371
e-mail: nikitanovozhilkin261@gmail.com

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.

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

Column: Control Theory

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

For Reference

Funding

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

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