Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle
A special case of synthesizing the electromechanical control system by the maximum method and using the Analytical Construction method of Aggregate Regulators (ACAR) is considered in the article. For the basis the task of synthesizing the optimal for speed electromechanical positioning system was ch...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201822602012 |
| _version_ | 1818648527039889408 |
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| author | Lapshin Viktor P. Turkin Ilya A. Zakalyuzhnyy Alexey A. Khlystunov Viktor F. Kuzin Gennadiy A. |
| author_facet | Lapshin Viktor P. Turkin Ilya A. Zakalyuzhnyy Alexey A. Khlystunov Viktor F. Kuzin Gennadiy A. |
| author_sort | Lapshin Viktor P. |
| collection | DOAJ |
| description | A special case of synthesizing the electromechanical control system by the maximum method and using the Analytical Construction method of Aggregate Regulators (ACAR) is considered in the article. For the basis the task of synthesizing the optimal for speed electromechanical positioning system was chosen, while the moment of resistance to movement linearly depended on the output coordinate of the system, that is, on the angle of the engine rotor rotation. Synthesis of the optimal system for speed makes it possible to increase the efficiency of the entire production process in many production tasks, and the synthesis of the optimal linear control system based on the maximum principle is a fairly well-formalized problem. Here it should be noted that the procedure for synergistic synthesis of the optimal control system has no such formalization. An approach that brings together the solutions obtained by these two methods, which makes it possible to increase the efficiency of the ACAR method by adding some features of the methodology for synthesizing optimal systems by introducing nonlinearity of the “saturation” type is proposed in the article. The results obtained made it possible to formulate the following basic scientific proposition: the synthesis of a control system based on the synergetic approach makes it possible to obtain a system close to optimal (quasi-optimal, but after the modification of the synergetic synthesis method itself.) Here we also formulate the hypothesis of a connection between the time constants, using the ACAR method, with the optimal control switching time determined in the maximum method. |
| first_indexed | 2024-12-17T01:19:50Z |
| format | Article |
| id | doaj.art-a200ac7307d844e1ad58b8762ec67e48 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-17T01:19:50Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-a200ac7307d844e1ad58b8762ec67e482022-12-21T22:08:52ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012260201210.1051/matecconf/201822602012matecconf_dts2018_02012Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principleLapshin Viktor P.0Turkin Ilya A.1Zakalyuzhnyy Alexey A.2Khlystunov Viktor F.3Kuzin Gennadiy A.4Don State Technical UniversityDon State Technical UniversityDon State Technical UniversityState Scientific Establishment “Agriculture research center “Donskoy”, North Caucasus Institute of Mechanization and Electrification of AgricultureDon State Technical UniversityA special case of synthesizing the electromechanical control system by the maximum method and using the Analytical Construction method of Aggregate Regulators (ACAR) is considered in the article. For the basis the task of synthesizing the optimal for speed electromechanical positioning system was chosen, while the moment of resistance to movement linearly depended on the output coordinate of the system, that is, on the angle of the engine rotor rotation. Synthesis of the optimal system for speed makes it possible to increase the efficiency of the entire production process in many production tasks, and the synthesis of the optimal linear control system based on the maximum principle is a fairly well-formalized problem. Here it should be noted that the procedure for synergistic synthesis of the optimal control system has no such formalization. An approach that brings together the solutions obtained by these two methods, which makes it possible to increase the efficiency of the ACAR method by adding some features of the methodology for synthesizing optimal systems by introducing nonlinearity of the “saturation” type is proposed in the article. The results obtained made it possible to formulate the following basic scientific proposition: the synthesis of a control system based on the synergetic approach makes it possible to obtain a system close to optimal (quasi-optimal, but after the modification of the synergetic synthesis method itself.) Here we also formulate the hypothesis of a connection between the time constants, using the ACAR method, with the optimal control switching time determined in the maximum method.https://doi.org/10.1051/matecconf/201822602012 |
| spellingShingle | Lapshin Viktor P. Turkin Ilya A. Zakalyuzhnyy Alexey A. Khlystunov Viktor F. Kuzin Gennadiy A. Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle MATEC Web of Conferences |
| title | Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle |
| title_full | Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle |
| title_fullStr | Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle |
| title_full_unstemmed | Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle |
| title_short | Adaptation of the control synthesized by the ACAR method to the control based on the implementation of the maximum principle |
| title_sort | adaptation of the control synthesized by the acar method to the control based on the implementation of the maximum principle |
| url | https://doi.org/10.1051/matecconf/201822602012 |
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