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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 1, Pages 23–35
DOI: https://doi.org/10.31857/S0044466921110107 (Mi zvmmf11342) 		 
Optimal control

Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories

A. I. Kalinin, L. I. Lavrinovich

Belarusian State University, 220030, Minsk, Belarus
DOI: https://doi.org/10.31857/S0044466921110107
Abstract: The problem of minimizing an integral quadratic functional on the trajectories of a linear singularly perturbed system with linear terminal constraints is considered. Asymptotic approximations are constructed in the form of a program and feedback to the optimal control in this problem. The main advantage of the proposed computational procedures is that, in their implementation, the original problem is decomposed into two unperturbed optimal control problems of lower dimension.
Key words: optimal control, linear system, quadratic functional, singular perturbations, asymptotic approximations, suboptimal synthesis.
Received: 12.11.2020
Revised: 09.01.2021
Accepted: 07.07.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 1, Pages 20–32
DOI: https://doi.org/10.1134/S0965542521110105
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. I. Kalinin, L. I. Lavrinovich, “Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 23–35; Comput. Math. Math. Phys., 62:1 (2022), 20–32
Citation in format AMSBIB
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\pages 23--35
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