Robust Parametric Control of Lorenz System via State Feedback
This paper considers the parametric control to the Lorenz system by state feedback. Based on the solutions of the generalized Sylvester matrix equation (GSE), the unified explicit parametric expression of the state feedback gain matrix is proposed. The closed loop of the Lorenz system can be transfo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6548142 |
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| _version_ | 1832566106214105088 |
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| author | Da-Ke Gu Da-Wei Zhang Yin-Dong Liu |
| author_facet | Da-Ke Gu Da-Wei Zhang Yin-Dong Liu |
| author_sort | Da-Ke Gu |
| collection | DOAJ |
| description | This paper considers the parametric control to the Lorenz system by state feedback. Based on the solutions of the generalized Sylvester matrix equation (GSE), the unified explicit parametric expression of the state feedback gain matrix is proposed. The closed loop of the Lorenz system can be transformed into an arbitrary constant matrix with the desired eigenstructure (eigenvalues and eigenvectors). The freedom provided by the parametric control can be fully used to find a controller to satisfy the robustness criteria. A numerical simulation is developed to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-fa7b75f1afd9481eaa850479fd8c36c5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fa7b75f1afd9481eaa850479fd8c36c52025-02-03T01:05:11ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/65481426548142Robust Parametric Control of Lorenz System via State FeedbackDa-Ke Gu0Da-Wei Zhang1Yin-Dong Liu2School of Automation Engineering, Northeast Electric Power University, Jilin, ChinaSchool of Automation Engineering, Northeast Electric Power University, Jilin, ChinaSchool of Automation Engineering, Northeast Electric Power University, Jilin, ChinaThis paper considers the parametric control to the Lorenz system by state feedback. Based on the solutions of the generalized Sylvester matrix equation (GSE), the unified explicit parametric expression of the state feedback gain matrix is proposed. The closed loop of the Lorenz system can be transformed into an arbitrary constant matrix with the desired eigenstructure (eigenvalues and eigenvectors). The freedom provided by the parametric control can be fully used to find a controller to satisfy the robustness criteria. A numerical simulation is developed to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2020/6548142 |
| spellingShingle | Da-Ke Gu Da-Wei Zhang Yin-Dong Liu Robust Parametric Control of Lorenz System via State Feedback Complexity |
| title | Robust Parametric Control of Lorenz System via State Feedback |
| title_full | Robust Parametric Control of Lorenz System via State Feedback |
| title_fullStr | Robust Parametric Control of Lorenz System via State Feedback |
| title_full_unstemmed | Robust Parametric Control of Lorenz System via State Feedback |
| title_short | Robust Parametric Control of Lorenz System via State Feedback |
| title_sort | robust parametric control of lorenz system via state feedback |
| url | http://dx.doi.org/10.1155/2020/6548142 |
| work_keys_str_mv | AT dakegu robustparametriccontroloflorenzsystemviastatefeedback AT daweizhang robustparametriccontroloflorenzsystemviastatefeedback AT yindongliu robustparametriccontroloflorenzsystemviastatefeedback |