An observer design for Takagi-Sugeno fuzzy bilinear control systems
In this paper, the observer design problem for a T-S fuzzy bilinear control system is investigated. First, an observer of Kalman type is designed to estimate the system states for the linear case. Then, some new sufficient conditions are derived to show the exponential convergence of the solutions o...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2023-09-01
|
| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/128390/PDF/art08_int.pdf |
| _version_ | 1797682235562786816 |
|---|---|
| author | François Delmotte Nizar Hadj Taieb Mohamed Ali Hammami Houria Meghnafi |
| author_facet | François Delmotte Nizar Hadj Taieb Mohamed Ali Hammami Houria Meghnafi |
| author_sort | François Delmotte |
| collection | DOAJ |
| description | In this paper, the observer design problem for a T-S fuzzy bilinear control system is investigated. First, an observer of Kalman type is designed to estimate the system states for the linear case. Then, some new sufficient conditions are derived to show the exponential convergence of the solutions of the error equation for fuzzy bilinear systems. Furthermore, we consider some uncertainties of the system that are bounded and satisfy a certain condition where an observer is designed. Moreover, an application to Van de Vusse system is given. |
| first_indexed | 2024-03-11T23:56:38Z |
| format | Article |
| id | doaj.art-032a2d94de7141448f688263b273ec5c |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-03-11T23:56:38Z |
| publishDate | 2023-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-032a2d94de7141448f688263b273ec5c2023-09-18T10:54:20ZengPolish Academy of SciencesArchives of Control Sciences1230-23842023-09-01vol. 33No 3https://doi.org/10.24425/acs.2023.146959An observer design for Takagi-Sugeno fuzzy bilinear control systemsFrançois Delmotte0Nizar Hadj Taieb1Mohamed Ali Hammami2Houria Meghnafi3University of Artois, Bethune, FranceUniversity of Sfax, IPEIS Sfax, TunisiaUniversity of Sfax, Faculty of Sciences of Sfax, TunisiaUniversity of Sfax, Faculty of Sciences of Sfax, TunisiaIn this paper, the observer design problem for a T-S fuzzy bilinear control system is investigated. First, an observer of Kalman type is designed to estimate the system states for the linear case. Then, some new sufficient conditions are derived to show the exponential convergence of the solutions of the error equation for fuzzy bilinear systems. Furthermore, we consider some uncertainties of the system that are bounded and satisfy a certain condition where an observer is designed. Moreover, an application to Van de Vusse system is given.https://journals.pan.pl/Content/128390/PDF/art08_int.pdffuzzy systemsbilinear systemsstability analysisobserver design |
| spellingShingle | François Delmotte Nizar Hadj Taieb Mohamed Ali Hammami Houria Meghnafi An observer design for Takagi-Sugeno fuzzy bilinear control systems Archives of Control Sciences fuzzy systems bilinear systems stability analysis observer design |
| title | An observer design for Takagi-Sugeno fuzzy bilinear control systems |
| title_full | An observer design for Takagi-Sugeno fuzzy bilinear control systems |
| title_fullStr | An observer design for Takagi-Sugeno fuzzy bilinear control systems |
| title_full_unstemmed | An observer design for Takagi-Sugeno fuzzy bilinear control systems |
| title_short | An observer design for Takagi-Sugeno fuzzy bilinear control systems |
| title_sort | observer design for takagi sugeno fuzzy bilinear control systems |
| topic | fuzzy systems bilinear systems stability analysis observer design |
| url | https://journals.pan.pl/Content/128390/PDF/art08_int.pdf |
| work_keys_str_mv | AT francoisdelmotte anobserverdesignfortakagisugenofuzzybilinearcontrolsystems AT nizarhadjtaieb anobserverdesignfortakagisugenofuzzybilinearcontrolsystems AT mohamedalihammami anobserverdesignfortakagisugenofuzzybilinearcontrolsystems AT houriameghnafi anobserverdesignfortakagisugenofuzzybilinearcontrolsystems AT francoisdelmotte observerdesignfortakagisugenofuzzybilinearcontrolsystems AT nizarhadjtaieb observerdesignfortakagisugenofuzzybilinearcontrolsystems AT mohamedalihammami observerdesignfortakagisugenofuzzybilinearcontrolsystems AT houriameghnafi observerdesignfortakagisugenofuzzybilinearcontrolsystems |