Controller design for the closed loop system with non-interaction condition
For some complex systems with several controlled variables and with interaction between these controlled variables, one complex mathematical model is established to include lots of elements in the control matrix. In order to reduce the number of elements in the control matrix and increase real-time...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2020-01-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/21642583.2020.1853625 |
| _version_ | 1819072934754385920 |
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| author | Wang Jianhong Ricardo A. Ramirez-Mendoza |
| author_facet | Wang Jianhong Ricardo A. Ramirez-Mendoza |
| author_sort | Wang Jianhong |
| collection | DOAJ |
| description | For some complex systems with several controlled variables and with interaction between these controlled variables, one complex mathematical model is established to include lots of elements in the control matrix. In order to reduce the number of elements in the control matrix and increase real-time property in designing the unknown controllers, an idea of non-interaction property is introduced to simplify our mentioned closed loop system with many variables. To achieve the non-interaction property, some conditions are derived to guarantee one controlled input only influences one output. Based on this simplified model, the prediction error method coming from system identification field is applied to design the optimal controllers. The advantage of our prediction error method is that the optimal controller is a constant ratio of two polynomials. Finally one simulation example confirms our theoretical results. |
| first_indexed | 2024-12-21T17:45:37Z |
| format | Article |
| id | doaj.art-3825a91323824cc0947a02c0737be457 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-12-21T17:45:37Z |
| publishDate | 2020-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-3825a91323824cc0947a02c0737be4572022-12-21T18:55:30ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832020-01-018163964910.1080/21642583.2020.18536251853625Controller design for the closed loop system with non-interaction conditionWang Jianhong0Ricardo A. Ramirez-Mendoza1Jiangxi University of Science and TechnologyTecnologico de Monterrey, MonterreyFor some complex systems with several controlled variables and with interaction between these controlled variables, one complex mathematical model is established to include lots of elements in the control matrix. In order to reduce the number of elements in the control matrix and increase real-time property in designing the unknown controllers, an idea of non-interaction property is introduced to simplify our mentioned closed loop system with many variables. To achieve the non-interaction property, some conditions are derived to guarantee one controlled input only influences one output. Based on this simplified model, the prediction error method coming from system identification field is applied to design the optimal controllers. The advantage of our prediction error method is that the optimal controller is a constant ratio of two polynomials. Finally one simulation example confirms our theoretical results.http://dx.doi.org/10.1080/21642583.2020.1853625non-interactionclosed loopcontroller designoptimalitynon-interaction |
| spellingShingle | Wang Jianhong Ricardo A. Ramirez-Mendoza Controller design for the closed loop system with non-interaction condition Systems Science & Control Engineering non-interaction closed loop controller design optimality non-interaction |
| title | Controller design for the closed loop system with non-interaction condition |
| title_full | Controller design for the closed loop system with non-interaction condition |
| title_fullStr | Controller design for the closed loop system with non-interaction condition |
| title_full_unstemmed | Controller design for the closed loop system with non-interaction condition |
| title_short | Controller design for the closed loop system with non-interaction condition |
| title_sort | controller design for the closed loop system with non interaction condition |
| topic | non-interaction closed loop controller design optimality non-interaction |
| url | http://dx.doi.org/10.1080/21642583.2020.1853625 |
| work_keys_str_mv | AT wangjianhong controllerdesignfortheclosedloopsystemwithnoninteractioncondition AT ricardoaramirezmendoza controllerdesignfortheclosedloopsystemwithnoninteractioncondition |