Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization
This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2022-04-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/122925/PDF/art06_internet.pdf |
| _version_ | 1811295079709540352 |
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| author | Lazaros Moysis Meenakshi Tripathi Mahendra Kumar Gupta Muhammad Marwan Christos Volos |
| author_facet | Lazaros Moysis Meenakshi Tripathi Mahendra Kumar Gupta Muhammad Marwan Christos Volos |
| author_sort | Lazaros Moysis |
| collection | DOAJ |
| description | This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system. |
| first_indexed | 2024-04-13T05:27:06Z |
| format | Article |
| id | doaj.art-efe924fc769440009158bc3db1ba8310 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-13T05:27:06Z |
| publishDate | 2022-04-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-efe924fc769440009158bc3db1ba83102022-12-22T03:00:33ZengPolish Academy of SciencesArchives of Control Sciences1230-23842022-04-01vol. 32No 1105121https://doi.org/10.24425/acs.2022.140867Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronizationLazaros Moysis0Meenakshi Tripathi1Mahendra Kumar Gupta2Muhammad Marwan3Christos Volos4Laboratory of Nonlinear Systems – Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GreeceDepartment of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, IndiaDepartment of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, IndiaDepartment of Mathematics, Zhejiang Normal University, Jinhua, ChinaLaboratory of Nonlinear Systems – Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GreeceThis work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.https://journals.pan.pl/Content/122925/PDF/art06_internet.pdfadaptive observerincremental quadratic constraintschaos synchronization |
| spellingShingle | Lazaros Moysis Meenakshi Tripathi Mahendra Kumar Gupta Muhammad Marwan Christos Volos Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization Archives of Control Sciences adaptive observer incremental quadratic constraints chaos synchronization |
| title | Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization |
| title_full | Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization |
| title_fullStr | Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization |
| title_full_unstemmed | Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization |
| title_short | Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization |
| title_sort | adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs application to chaos synchronization |
| topic | adaptive observer incremental quadratic constraints chaos synchronization |
| url | https://journals.pan.pl/Content/122925/PDF/art06_internet.pdf |
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