Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring
In this article, we present a novel approach for robust state estimation in linear uncertain descriptor systems, with a specific focus on the cardiovascular system (CVS) as a case study. Descriptor systems, which extend traditional state-space representations by incorporating algebraic constraints,...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Computational and Mathematical Biophysics |
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| Online Access: | https://doi.org/10.1515/cmb-2024-0013 |
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| author | Tunga Pabitra K. Jaiswal Juhi Tomar Nutan K. |
| author_facet | Tunga Pabitra K. Jaiswal Juhi Tomar Nutan K. |
| author_sort | Tunga Pabitra K. |
| collection | DOAJ |
| description | In this article, we present a novel approach for robust state estimation in linear uncertain descriptor systems, with a specific focus on the cardiovascular system (CVS) as a case study. Descriptor systems, which extend traditional state-space representations by incorporating algebraic constraints, present significant challenges in observer design, especially under conditions of uncertainty. To address these challenges, we propose the design of a functional observer using the H∞{H}_{\infty } filter approach, capable of managing uncertainties arising from both external disturbances and variations in system parameters. The observer is designed using a unique linear matrix inequality framework, which ensures the stability and performance of the estimation error system. The convergence of the estimation error is rigorously analyzed using the Lyapunov method. The effectiveness of the proposed method is demonstrated through simulations on a CVS model, highlighting its potential to reliably estimate unknown states in the presence of uncertainties. |
| format | Article |
| id | doaj-art-5088194e3d5c4206badaa2c7b1916aa5 |
| institution | Kabale University |
| issn | 2544-7297 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj-art-5088194e3d5c4206badaa2c7b1916aa52024-12-16T08:56:45ZengDe GruyterComputational and Mathematical Biophysics2544-72972024-12-0112159361210.1515/cmb-2024-0013Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoringTunga Pabitra K.0Jaiswal Juhi1Tomar Nutan K.2Department of Mathematics, Indian Institute of Technology Patna, Patna - 801106, Bihar, IndiaTechnology Innovation Hub, Indian Institute of Technology Patna, Patna - 801106, Bihar, IndiaDepartment of Mathematics, Indian Institute of Technology Patna, Patna - 801106, Bihar, IndiaIn this article, we present a novel approach for robust state estimation in linear uncertain descriptor systems, with a specific focus on the cardiovascular system (CVS) as a case study. Descriptor systems, which extend traditional state-space representations by incorporating algebraic constraints, present significant challenges in observer design, especially under conditions of uncertainty. To address these challenges, we propose the design of a functional observer using the H∞{H}_{\infty } filter approach, capable of managing uncertainties arising from both external disturbances and variations in system parameters. The observer is designed using a unique linear matrix inequality framework, which ensures the stability and performance of the estimation error system. The convergence of the estimation error is rigorously analyzed using the Lyapunov method. The effectiveness of the proposed method is demonstrated through simulations on a CVS model, highlighting its potential to reliably estimate unknown states in the presence of uncertainties.https://doi.org/10.1515/cmb-2024-0013linear systemsdescriptor systems (differential-algebraic systems)observers for linear systemsfunctional observersparameter uncertainty93b5193b5393c05 |
| spellingShingle | Tunga Pabitra K. Jaiswal Juhi Tomar Nutan K. Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring Computational and Mathematical Biophysics linear systems descriptor systems (differential-algebraic systems) observers for linear systems functional observers parameter uncertainty 93b51 93b53 93c05 |
| title | Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring |
| title_full | Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring |
| title_fullStr | Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring |
| title_full_unstemmed | Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring |
| title_short | Robust H∞ filter-based functional observer design for descriptor systems: An application to cardiovascular system monitoring |
| title_sort | robust h∞ filter based functional observer design for descriptor systems an application to cardiovascular system monitoring |
| topic | linear systems descriptor systems (differential-algebraic systems) observers for linear systems functional observers parameter uncertainty 93b51 93b53 93c05 |
| url | https://doi.org/10.1515/cmb-2024-0013 |
| work_keys_str_mv | AT tungapabitrak robusthfilterbasedfunctionalobserverdesignfordescriptorsystemsanapplicationtocardiovascularsystemmonitoring AT jaiswaljuhi robusthfilterbasedfunctionalobserverdesignfordescriptorsystemsanapplicationtocardiovascularsystemmonitoring AT tomarnutank robusthfilterbasedfunctionalobserverdesignfordescriptorsystemsanapplicationtocardiovascularsystemmonitoring |