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Modelling and Data Analysis
2021. Vol. 11, no. 4, 21–32
https://doi.org/10.17759/mda.2021110402
ISSN: 2219-3758 / 2311-9454 (online)

Synthesis of Optimal Control of a Group of Objects of Variable Dimension

 
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Abstract

The article deals with the problem of time-optimal control of a hybrid system of variable dimension. The problem of synthesis of optimal hybrid systems of variable dimension is of theoretical interest, since the problems under consideration differ from the classical problems of optimal control of deterministic systems, and methods for their solution have not been developed. The need for research is determined by modern problems of designing complex aviation and rocket and space systems, and the results obtained have a practical orientation and can be used in the creation of automatic control systems.

General Information

Keywords: hybrid systems of variable dimension, optimal control, switch systems, time-optimal operation

Journal rubric: Control Theory

OpenAlex citations: 0

OpenAlex trends: Aerospace Engineering and Control Systems, Guidance and Control Systems, Mathematical Control Systems and Analysis

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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.

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Guidance and Control Systems

This cluster of papers focuses on the development and analysis of missile guidance and control strategies, including pursuit-evasion games, impact time control, sliding mode guidance, cooperative attack scenarios, optimal control laws, and maneuvering target interception. The research covers a wide range of topics related to the guidance and control of missiles for various mission objectives.

Number of works: 32567  |  Total number of citations: 235425

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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

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Work details in OpenAlex

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2021110402

Published

For citation: Bortakovskii, A.S., Evdokimova, E.A. (2021). Synthesis of Optimal Control of a Group of Objects of Variable Dimension. Modelling and Data Analysis, 11(4), 21–32. (In Russ.). https://doi.org/10.17759/mda.2021110402

© Bortakovskii A.S., Evdokimova E.A., 2021

License: CC BY-NC 4.0

References

  1. Agrachev A.A., Sachkov U.L. Geometric control theory. Moscow: Physmathlit, 2005. 392 p.
  2. Bellman R. Dynamic programmimg. Moscow: Foreign literature, 1960. 400 p.
  3. Bortakovskii A.S. Sufficient optimality conditions for hybrid systems of variable dimension // Works of MIAN 308, 2020, P.88–100.
  4. Bortakovskii A.S., Evdokimova E.A. Synthesis of optimal hybrid systems for multipurpose time-optimal operation // Problems of mathematical analysis, ed. 109, 2021. P. 39–50.
  5. Mathematical theory of optimal processes / L.S. Pontryagin [and others] Moscow: Fizmatgiz, 1961. 393 p.
  6. Dmitruk A.V., Kaganovich A.M. The hybrid maximum principle is a consequence of Pontryagin maximum principle , Syst. Control Lett. 57, No. 11. P. 964–970 (2008).
  7. Sussmann H.J. A maximum principle for hybrid optimal control problems // Proc. of 38th IEEE Conference on Decision and Control, Phoenix, 1999.

Information About the Authors

Alexandr S. Bortakovskii, Doctor of Physics and Matematics, Associate Professor of the Department of Mathematics and Cybernetics, Institute of Information Technologies and Applied Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-8233-4535, e-mail: asbortakov@mail.ru

Ekaterina A. Evdokimova, 1st Category Mathematician, Federal Research Center «Informatics and Management», Russian Academy of Sciences (IPI RAS), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0003-4719-2786, e-mail: evdokimovaekan@mail.ru

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