CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM
The aim of this paper is the linear synthesis of two loops SISO systems with discreet time proportional integral (PI) controllers. This linear synthesis is dedicated for the systems with plant parameters uncertainty. The synthesis is based on the time scale method, providing the separate slow and fa...
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| Format: | Article |
| Language: | English |
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Belarusian National Technical University
2018-06-01
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| Series: | Sistemnyj Analiz i Prikladnaâ Informatika |
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| Online Access: | https://sapi.bntu.by/jour/article/view/199 |
| _version_ | 1797873724267954176 |
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| author | O. F. Opeiko |
| author_facet | O. F. Opeiko |
| author_sort | O. F. Opeiko |
| collection | DOAJ |
| description | The aim of this paper is the linear synthesis of two loops SISO systems with discreet time proportional integral (PI) controllers. This linear synthesis is dedicated for the systems with plant parameters uncertainty. The synthesis is based on the time scale method, providing the separate slow and fast components of the control low. The PI- controller parameters calculation is based on the modal control and plant model reduction. The conditions carried out for the each control loop dynamics still similar to the second order one. The discrete time microcontroller based numerical control restricts the stability domain of the system and each control loop in it. The stability domain of each loop is the round on the complex plane with radius, depending on the time period. Each inner loop must be more fast, then each outer one. Hence, in the outer loop the time period, required for the PI controller reaction computation, can be more then in the inner loop. This PI- controller parameter calculation method is approximate, and it is efficient for the systems, whose dynamics contains the slow and fast components. In particular, the electrical drives control systems contain the fast electromagnetic component and the slow mechanical part. The effectiveness of this method is illustrated by the example and simulation. |
| first_indexed | 2024-04-10T01:20:44Z |
| format | Article |
| id | doaj.art-8a00eacf574b4a0eb59d906ed2c0b3da |
| institution | Directory Open Access Journal |
| issn | 2309-4923 2414-0481 |
| language | English |
| last_indexed | 2024-04-10T01:20:44Z |
| publishDate | 2018-06-01 |
| publisher | Belarusian National Technical University |
| record_format | Article |
| series | Sistemnyj Analiz i Prikladnaâ Informatika |
| spelling | doaj.art-8a00eacf574b4a0eb59d906ed2c0b3da2023-03-13T09:47:40ZengBelarusian National Technical UniversitySistemnyj Analiz i Prikladnaâ Informatika2309-49232414-04812018-06-0101222610.21122/2309-4923-2018-1-22-26152CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEMO. F. Opeiko0Белорусский национальный технический университетThe aim of this paper is the linear synthesis of two loops SISO systems with discreet time proportional integral (PI) controllers. This linear synthesis is dedicated for the systems with plant parameters uncertainty. The synthesis is based on the time scale method, providing the separate slow and fast components of the control low. The PI- controller parameters calculation is based on the modal control and plant model reduction. The conditions carried out for the each control loop dynamics still similar to the second order one. The discrete time microcontroller based numerical control restricts the stability domain of the system and each control loop in it. The stability domain of each loop is the round on the complex plane with radius, depending on the time period. Each inner loop must be more fast, then each outer one. Hence, in the outer loop the time period, required for the PI controller reaction computation, can be more then in the inner loop. This PI- controller parameter calculation method is approximate, and it is efficient for the systems, whose dynamics contains the slow and fast components. In particular, the electrical drives control systems contain the fast electromagnetic component and the slow mechanical part. The effectiveness of this method is illustrated by the example and simulation.https://sapi.bntu.by/jour/article/view/199линейный синтездискретная системаобласть устойчивостимногоконтурная системапропорционально-интегрирующий регулятормодальное управлениехарактеристический полином |
| spellingShingle | O. F. Opeiko CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM Sistemnyj Analiz i Prikladnaâ Informatika линейный синтез дискретная система область устойчивости многоконтурная система пропорционально-интегрирующий регулятор модальное управление характеристический полином |
| title | CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM |
| title_full | CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM |
| title_fullStr | CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM |
| title_full_unstemmed | CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM |
| title_short | CONTROL SYNTHESIS FOR TWO LOOPS DISCRET SYSTEM |
| title_sort | control synthesis for two loops discret system |
| topic | линейный синтез дискретная система область устойчивости многоконтурная система пропорционально-интегрирующий регулятор модальное управление характеристический полином |
| url | https://sapi.bntu.by/jour/article/view/199 |
| work_keys_str_mv | AT ofopeiko controlsynthesisfortwoloopsdiscretsystem |