Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback
This paper investigates the parametric design method to a type of descriptor quasi-linear systems whose coefficient matrices contain system variables and time-varying parameters. Based on the solution to a class of generalized Sylvester matrix equation, the generally parametrized expression of outpu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8668773/ |
| _version_ | 1818668277670346752 |
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| author | Da-Ke Gu Da-Wei Zhang Guang-Ren Duan |
| author_facet | Da-Ke Gu Da-Wei Zhang Guang-Ren Duan |
| author_sort | Da-Ke Gu |
| collection | DOAJ |
| description | This paper investigates the parametric design method to a type of descriptor quasi-linear systems whose coefficient matrices contain system variables and time-varying parameters. Based on the solution to a class of generalized Sylvester matrix equation, the generally parametrized expression of output feedback controller is established; meanwhile, the completely parametric forms of left and right eigenvectors are obtained, giving a group of arbitrary parameters. With the parametric technique, the closed-loop system can be converted into a linear constant one by utilizing a group of canonical matrix pair. Finally, three examples are presented to prove the effectiveness of the proposed approach. |
| first_indexed | 2024-12-17T06:33:46Z |
| format | Article |
| id | doaj.art-6e93aa7ef6e14d4faad54b3b31b3732e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T06:33:46Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6e93aa7ef6e14d4faad54b3b31b3732e2022-12-21T22:00:04ZengIEEEIEEE Access2169-35362019-01-017399113992210.1109/ACCESS.2019.29058678668773Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output FeedbackDa-Ke Gu0https://orcid.org/0000-0003-0611-5004Da-Wei Zhang1Guang-Ren Duan2School of Automation Engineering, Northeast Electric Power University, Jilin, ChinaSchool of Automation Engineering, Northeast Electric Power University, Jilin, ChinaCenter for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, ChinaThis paper investigates the parametric design method to a type of descriptor quasi-linear systems whose coefficient matrices contain system variables and time-varying parameters. Based on the solution to a class of generalized Sylvester matrix equation, the generally parametrized expression of output feedback controller is established; meanwhile, the completely parametric forms of left and right eigenvectors are obtained, giving a group of arbitrary parameters. With the parametric technique, the closed-loop system can be converted into a linear constant one by utilizing a group of canonical matrix pair. Finally, three examples are presented to prove the effectiveness of the proposed approach.https://ieeexplore.ieee.org/document/8668773/Descriptor quasi-linear systemsparametric controleigenstructure assignmentcanonical matrix pairoutput feedback |
| spellingShingle | Da-Ke Gu Da-Wei Zhang Guang-Ren Duan Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback IEEE Access Descriptor quasi-linear systems parametric control eigenstructure assignment canonical matrix pair output feedback |
| title | Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback |
| title_full | Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback |
| title_fullStr | Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback |
| title_full_unstemmed | Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback |
| title_short | Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback |
| title_sort | parametric control to a type of descriptor quasi linear systems via output feedback |
| topic | Descriptor quasi-linear systems parametric control eigenstructure assignment canonical matrix pair output feedback |
| url | https://ieeexplore.ieee.org/document/8668773/ |
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