Asymptotic method for solving the problem of transition process optimization in a three-tempo singularly perturbed system
https://doi.org/10.29235/1561-8323-2024-68-3-183-187
Abstract
The problem of constructing a transition process with minimal energy costs for a linear singularly perturbed system containing three groups of variables with significantly different rates of change is considered. Asymptotic approximations to solving this problem are constructed in the form of an open-loop and feedback controls. The main advantage of the proposed computational procedures is that the original problem is split into three unperturbed optimal control problems of lower dimension.
About the Authors
A. I. Kalinin
Belarusian State University
Belarus
Belarus
Kalinin Anatoly I. – D. Sc. (Physics and Mathematics), Professor
4, Nezavisimosti Ave., 220030, Minsk
L. I. Lavrinovich
Belarusian State University
Belarus
Belarus
Lavrinovich Leonid I. – Ph. D. (Physics and Mathematics), Associate Professor
4, Nezavisimosti Ave., 220030, Minsk
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