H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree
This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-03-01
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| Series: | International Journal of Applied Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amcs-2018-0006 |
| _version_ | 1818677710730297344 |
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| author | Zhou Meng Rodrigues Mickael Shen Yi Theilliol Didier |
| author_facet | Zhou Meng Rodrigues Mickael Shen Yi Theilliol Didier |
| author_sort | Zhou Meng |
| collection | DOAJ |
| description | This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H_ actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H_/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-12-17T09:03:42Z |
| format | Article |
| id | doaj.art-9f103db6ab7a4dae99e0098c093e886d |
| institution | Directory Open Access Journal |
| issn | 2083-8492 |
| language | English |
| last_indexed | 2024-12-17T09:03:42Z |
| publishDate | 2018-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | International Journal of Applied Mathematics and Computer Science |
| spelling | doaj.art-9f103db6ab7a4dae99e0098c093e886d2022-12-21T21:55:37ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922018-03-01281839510.2478/amcs-2018-0006amcs-2018-0006H_/H∞ fault detection observer design for a polytopic LPV system using the relative degreeZhou Meng0Rodrigues Mickael1Shen Yi2Theilliol Didier3School of Astronautics Harbin Institute of Technology, Harbin 150001, PR ChinaLaboratory of Automatic Control (LAGEP), CNRS UMR 5007 Claude Bernard Lyon 1 University, 43 Boulevard du 11 Novembre 1918, F-69100 Villeurbanne, FranceSchool of Astronautics Harbin Institute of Technology, Harbin 150001, PR ChinaCentre for Automatic Control of Nancy (CRAN), CNRS UMR 7039 University of Lorraine, F-54506 Vandoeuvre-les-Nancy, FranceThis paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H_ actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H_/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.https://doi.org/10.2478/amcs-2018-0006h_/h∞ fault detection observerpolytopic lpv systemrelative degree of outputactuator fault detectionsensor fault detection |
| spellingShingle | Zhou Meng Rodrigues Mickael Shen Yi Theilliol Didier H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree International Journal of Applied Mathematics and Computer Science h_/h∞ fault detection observer polytopic lpv system relative degree of output actuator fault detection sensor fault detection |
| title | H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree |
| title_full | H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree |
| title_fullStr | H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree |
| title_full_unstemmed | H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree |
| title_short | H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree |
| title_sort | h h∞ fault detection observer design for a polytopic lpv system using the relative degree |
| topic | h_/h∞ fault detection observer polytopic lpv system relative degree of output actuator fault detection sensor fault detection |
| url | https://doi.org/10.2478/amcs-2018-0006 |
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