Academic Journal
Takagi–Sugeno fuzzy observer design for nonlinear descriptor systems with unmeasured premise variables and unknown inputs
| العنوان: | Takagi–Sugeno fuzzy observer design for nonlinear descriptor systems with unmeasured premise variables and unknown inputs |
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| المؤلفون: | Nguyen, Tran Anh-Tu, Campos, Víctor, Guerra, Thierry-Marie, Pan, Juntao, Xie, Wenbo |
| المساهمون: | Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 (LAMIH), Centre National de la Recherche Scientifique (CNRS)-Université Polytechnique Hauts-de-France (UPHF)-INSA Institut National des Sciences Appliquées Hauts-de-France (INSA Hauts-De-France), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), INSA Institut National des Sciences Appliquées Hauts-de-France (INSA Hauts-De-France), Institut National des Sciences Appliquées (INSA), Université Polytechnique Hauts-de-France (UPHF), Universidade Federal do Ceará = Federal University of Ceará (UFC), North Minzu University |
| المصدر: | ISSN: 1049-8923. |
| بيانات النشر: | HAL CCSD Wiley |
| سنة النشر: | 2021 |
| المجموعة: | Université Polytechnique Hauts-de-France: HAL |
| مصطلحات موضوعية: | Takagi-Sugeno models fuzzy-model-based observers nonlinear descriptor systems unmeasured premise variables unknown inputs Lyapunov method, Takagi-Sugeno models, fuzzy-model-based observers, nonlinear descriptor systems, unmeasured premise variables, unknown inputs, Lyapunov method, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering |
| الوصف: | International audience ; This paper presents a new observer design framework for a class of nonlinear descriptor systems with unknown but bounded inputs. In the presence of unmeasured nonlinearities, i.e., premise variables, designing nonlinear observers is known as particularly challenging. To solve this problem, we rewrite the nonlinear descriptor system in the form of a Takagi-Sugeno (TS) fuzzy model with nonlinear consequents. This model reformulation enables an effective use of the differential mean value theorem to deal with the mismatching terms involved in the estimation error dynamics. These nonlinear terms, issued from the unmeasured nonlinearities of the descriptor system, cause a major technical difficulty for TS fuzzy-model-based observer design. The descriptor form is treated through a singular redundancy representation. For observer design, we introduce into the Luenberger-like observer structure a virtual variable aiming at estimating the one-step ahead state. This variable introduction allows for free-structure decision variables involved in the observer design to further reduce the conservatism. Using Lyapunov-based arguments, the observer design is reformulated as an optimization problem under linear matrix inequalities with a single line search parameter. The estimation error bounds of both the state and the unknown input can be minimized by means of a guaranteed ∞−gain performance level. The interests of the new ∞ TS fuzzy observer design are clearly illustrated with two physically motivated examples. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-04307213; https://uphf.hal.science/hal-04307213; https://uphf.hal.science/hal-04307213/document; https://uphf.hal.science/hal-04307213/file/2021_IJRNC_ObsDesDiscret_UnPremises_Final.pdf |
| DOI: | 10.1002/rnc.5453 |
| الاتاحة: | https://uphf.hal.science/hal-04307213 https://uphf.hal.science/hal-04307213/document https://uphf.hal.science/hal-04307213/file/2021_IJRNC_ObsDesDiscret_UnPremises_Final.pdf https://doi.org/10.1002/rnc.5453 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.49985E65 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1002/rnc.5453 |
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