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Approximate Solution to the Problem of Optimal Scalar Control with Terminal-Phase Constraints Based on Evolutionary Computations

  • OPTIMAL CONTROL
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

A numerical algorithm is developed for searching for an approximate solution to the optimal control problem in the presence of terminal-phase constraints. In general, the formulation of the optimal control problem with terminal-phase constraints is presented, in which the control is a limited piecewise constant function. To solve the problem, a step-by-step algorithm is formulated, which is based on the methods of penalties and differential evolution. Based on this algorithm, a program is created with the help of which a computational experiment is carried out for the catalytic reaction of the synthesis of benzylidenebenzylamine. The temperature profile of the process, which provides the highest concentration of the target substance with restrictions on the conversion of the starting substances, is determined.

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Funding

This work was supported by a state assignment of the Ministry of Science and Higher Education of the Russian Federation, scientific topic code FZWU-2023-0002.

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Authors and Affiliations

  1. Sterlitamak Branch, Ufa University of Science and Technology, Sterlitamak, Russia

    A. F. Antipin

  2. Ufa University of Science and Technology, Ufa, Russia

    E. V. Antipina & S. A. Mustafina

Authors
  1. A. F. Antipin
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  2. E. V. Antipina
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  3. S. A. Mustafina
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Correspondence to E. V. Antipina.

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Antipin, A.F., Antipina, E.V. & Mustafina, S.A. Approximate Solution to the Problem of Optimal Scalar Control with Terminal-Phase Constraints Based on Evolutionary Computations. J. Comput. Syst. Sci. Int. 62, 968–976 (2023). https://doi.org/10.1134/S1064230723060035

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  • DOI: https://doi.org/10.1134/S1064230723060035

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