Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems
This paper considers the difficulties that arise in the implementation of solutions to the optimal control problem. When implemented in real systems, as a rule, the object is subject to some perturbations, and the control obtained as a function of time as a result of solving the optimal control prob...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Engineering Proceedings |
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| Online Access: | https://www.mdpi.com/2673-4591/33/1/7 |
| _version_ | 1827574949349425152 |
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| author | Elizaveta Shmalko Askhat Diveev |
| author_facet | Elizaveta Shmalko Askhat Diveev |
| author_sort | Elizaveta Shmalko |
| collection | DOAJ |
| description | This paper considers the difficulties that arise in the implementation of solutions to the optimal control problem. When implemented in real systems, as a rule, the object is subject to some perturbations, and the control obtained as a function of time as a result of solving the optimal control problem does not take into account these factors, which leads to a significant change in the trajectory and deviation of the object from the terminal goal. This paper proposes to supplement the formulation of the optimal control problem. Additional requirements are introduced for the optimal trajectory. The fulfillment of these requirements ensures that the trajectory remains close to the optimal one under perturbations and reaches the vicinity of the terminal state. To solve the problem, it is proposed to use numerical methods of machine learning based on symbolic regression. A computational experiment is presented in which the solutions of the optimal control problem in the classical formulation and with the introduced additional requirement are compared. |
| first_indexed | 2024-03-08T20:48:19Z |
| format | Article |
| id | doaj.art-fb37c4044c4b4b88a7dae4a87abfc1a8 |
| institution | Directory Open Access Journal |
| issn | 2673-4591 |
| language | English |
| last_indexed | 2024-03-08T20:48:19Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Engineering Proceedings |
| spelling | doaj.art-fb37c4044c4b4b88a7dae4a87abfc1a82023-12-22T14:06:41ZengMDPI AGEngineering Proceedings2673-45912023-05-01331710.3390/engproc2023033007Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical SystemsElizaveta Shmalko0Askhat Diveev1Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow 119333, RussiaFederal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow 119333, RussiaThis paper considers the difficulties that arise in the implementation of solutions to the optimal control problem. When implemented in real systems, as a rule, the object is subject to some perturbations, and the control obtained as a function of time as a result of solving the optimal control problem does not take into account these factors, which leads to a significant change in the trajectory and deviation of the object from the terminal goal. This paper proposes to supplement the formulation of the optimal control problem. Additional requirements are introduced for the optimal trajectory. The fulfillment of these requirements ensures that the trajectory remains close to the optimal one under perturbations and reaches the vicinity of the terminal state. To solve the problem, it is proposed to use numerical methods of machine learning based on symbolic regression. A computational experiment is presented in which the solutions of the optimal control problem in the classical formulation and with the introduced additional requirement are compared.https://www.mdpi.com/2673-4591/33/1/7optimal controlstabilitycontrol synthesisfeasibility of controlsynthesized control |
| spellingShingle | Elizaveta Shmalko Askhat Diveev Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems Engineering Proceedings optimal control stability control synthesis feasibility of control synthesized control |
| title | Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems |
| title_full | Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems |
| title_fullStr | Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems |
| title_full_unstemmed | Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems |
| title_short | Additional Requirement in the Formulation of the Optimal Control Problem for Applied Technical Systems |
| title_sort | additional requirement in the formulation of the optimal control problem for applied technical systems |
| topic | optimal control stability control synthesis feasibility of control synthesized control |
| url | https://www.mdpi.com/2673-4591/33/1/7 |
| work_keys_str_mv | AT elizavetashmalko additionalrequirementintheformulationoftheoptimalcontrolproblemforappliedtechnicalsystems AT askhatdiveev additionalrequirementintheformulationoftheoptimalcontrolproblemforappliedtechnicalsystems |