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Modelling and Data Analysis
2021. Vol. 11, no. 1, 20–32
https://doi.org/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

 
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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

OpenAlex citations: 0

OpenAlex trends: Aerospace Engineering and Control Systems, Mathematical Control Systems and Analysis, Elasticity and Wave Propagation

Information about the work in OpenAlex

Number of citations: 0

Topics

Aerospace Engineering and Control Systems

This cluster of papers focuses on the development and optimization of autonomous aerial refueling systems for Unmanned Aerial Vehicles (UAVs). It covers topics such as vision-based sensor integration, trajectory tracking controllers, aircraft modeling and simulation, machine vision/GPS integration, flight control, aerodynamic coupling, and UAV technology.

Number of works: 36093  |  Total number of citations: 203242

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Mathematical Control Systems and Analysis

This cluster of papers focuses on the application of fuzzy computing, intelligent systems, and soft computing techniques in various domains such as decision support systems, reconfigurable computing, green computing, IoT, and safety-critical systems. It also explores the use of artificial neural networks and machine learning in these contexts.

Number of works: 16245  |  Total number of citations: 70405

Topic detailsв OpenAlex

Elasticity and Wave Propagation

This cluster of papers focuses on the mechanics and fracture behavior of nanomaterials and composites, including the use of wavelets for solution of nonlinear PDEs, development of mechanical models, review of fracture in viscoelastic materials, and analysis of elastic wave propagation. It also explores the influence of third order elastic constants, establishment of fundamentals in nanocomposite mechanics, and the study of microdamage in these materials.

Number of works: 35719  |  Total number of citations: 301545

Topic detailsв OpenAlex

Work details in OpenAlex

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.

Published

For citation: Ibragimov, D.N., Novozhilkin, N.M. (2021). On a Method for Constructing a Linear Nonstationary Discrete System with Full-Dimensional Controlby Changing the Quantization Step. Modelling and Data Analysis, 11(1), 20–32. (In Russ.). https://doi.org/10.17759/mda.2021110102

© Ibragimov D.N., Novozhilkin N.M., 2021

License: CC BY-NC 4.0

References

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Information About the Authors

Danis N. Ibragimov, Candidate of Science (Physics and Matematics), Associate Professor of Educational Center of Institute No. 8 Computer Science and Applied Mathematics, Moscow Aviation Institute (national research university) (MAI), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0001-7472-5520, e-mail: rikk.dan@gmail.com

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

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