An observer-based control of linear systems with uncertain parameters via LMI approach
In this paper, the Linear Matrix Inequality (LMI) method is used to solve the problem of making observer-based control solutions for a class of uncertain linear systems. The study yields both control and observer gains derived from feasible LMI solutions. To illustrate the effectiveness of our appro...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2025-07-01
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| Series: | Archives of Control Sciences |
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| Online Access: | https://journals.pan.pl/Content/135717/PDF/art05_int.pdf |
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| _version_ | 1850117666604318720 |
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| author | Hiba Hizazi Mustapha Lhous El Mostafa Magri Ayoub Sakkoum |
| author_facet | Hiba Hizazi Mustapha Lhous El Mostafa Magri Ayoub Sakkoum |
| author_sort | Hiba Hizazi |
| collection | DOAJ |
| description | In this paper, the Linear Matrix Inequality (LMI) method is used to solve the problem of making observer-based control solutions for a class of uncertain linear systems. The study yields both control and observer gains derived from feasible LMI solutions. To illustrate the effectiveness of our approach, we present a practical example, showcasing the practicality and applicability of the proposed solutions. |
| format | Article |
| id | doaj-art-50fc749ca5e84dd7a7232c1ad2f855b4 |
| institution | OA Journals |
| issn | 1230-2384 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj-art-50fc749ca5e84dd7a7232c1ad2f855b42025-08-20T02:36:03ZengPolish Academy of SciencesArchives of Control Sciences1230-23842025-07-01Vol. 35No 2https://doi.org/10.24425/acs.2025.155396An observer-based control of linear systems with uncertain parameters via LMI approachHiba Hizazi0Mustapha Lhous1https://orcid.org/0000-0001-6564-0971El Mostafa Magri2https://orcid.org/0000-0003-0612-7232Ayoub Sakkoum3Mathematical Analysis, Algebra and Applications Laboratory (LAM2A), Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P 5366 Maarif Casablanca, MoroccoMathematical Analysis, Algebra and Applications Laboratory (LAM2A), Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P 5366 Maarif Casablanca, MoroccoMathematical Analysis, Algebra and Applications Laboratory (LAM2A), Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P 5366 Maarif Casablanca, MoroccoMathematical Analysis, Algebra and Applications Laboratory (LAM2A), Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, B.P 5366 Maarif Casablanca, MoroccoIn this paper, the Linear Matrix Inequality (LMI) method is used to solve the problem of making observer-based control solutions for a class of uncertain linear systems. The study yields both control and observer gains derived from feasible LMI solutions. To illustrate the effectiveness of our approach, we present a practical example, showcasing the practicality and applicability of the proposed solutions.https://journals.pan.pl/Content/135717/PDF/art05_int.pdfobserver-based controllerlinear matrix inequalitiesuncertain linear systemlyapunov function stability |
| spellingShingle | Hiba Hizazi Mustapha Lhous El Mostafa Magri Ayoub Sakkoum An observer-based control of linear systems with uncertain parameters via LMI approach Archives of Control Sciences observer-based controller linear matrix inequalities uncertain linear system lyapunov function stability |
| title | An observer-based control of linear systems with uncertain parameters via LMI approach |
| title_full | An observer-based control of linear systems with uncertain parameters via LMI approach |
| title_fullStr | An observer-based control of linear systems with uncertain parameters via LMI approach |
| title_full_unstemmed | An observer-based control of linear systems with uncertain parameters via LMI approach |
| title_short | An observer-based control of linear systems with uncertain parameters via LMI approach |
| title_sort | observer based control of linear systems with uncertain parameters via lmi approach |
| topic | observer-based controller linear matrix inequalities uncertain linear system lyapunov function stability |
| url | https://journals.pan.pl/Content/135717/PDF/art05_int.pdf |
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