Fault diagnosis for a class of descriptor linear parameter-varying systems
SUMMARY In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fau...
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Published in | International journal of adaptive control and signal processing Vol. 26; no. 3; pp. 208 - 223 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Chichester, UK
John Wiley & Sons, Ltd
01.03.2012
Wiley |
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Abstract | SUMMARY
In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a linear matrix inequalities formulation. The fault estimation scheme is evaluated through numerical simulations. Copyright © 2011 John Wiley & Sons, Ltd. |
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AbstractList | SUMMARY
In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a linear matrix inequalities formulation. The fault estimation scheme is evaluated through numerical simulations. Copyright © 2011 John Wiley & Sons, Ltd. In this paper, a model-based fault estimation method for a particular class of discrete-time Descriptor Linear Parameter Varying (D-LPV) systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a Linear Matrix Inequalities (LMI) formulation. The fault estimation scheme is evaluated through numerical simulations. SUMMARY In this paper, a model-based fault estimation method for a particular class of discrete-time descriptor linear parameter-varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a linear matrix inequalities formulation. The fault estimation scheme is evaluated through numerical simulations. Copyright [copy 2011 John Wiley & Sons, Ltd. |
Author | Rodrigues, M. Theilliol, D. Astorga-Zaragoza, C. M. Ponsart, J. C. |
Author_xml | – sequence: 1 givenname: C. M. surname: Astorga-Zaragoza fullname: Astorga-Zaragoza, C. M. organization: Centro Nacional de Investigación y Desarrollo Tecnológico, CENIDET, Internado Palmira s/n, Col. Palmira, C.P. 62490, Cuernavaca, Mor., Mexico – sequence: 2 givenname: D. surname: Theilliol fullname: Theilliol, D. email: didier.theilliol@cran.uhp-nancy.fr organization: Centre de Recherche en Automatique de Nancy, CRAN CNRS UMR 7039, Nancy-Université, France – sequence: 3 givenname: J. C. surname: Ponsart fullname: Ponsart, J. C. organization: Centre de Recherche en Automatique de Nancy, CRAN CNRS UMR 7039, Nancy-Université, France – sequence: 4 givenname: M. surname: Rodrigues fullname: Rodrigues, M. organization: Laboratoire d'Automatique et de Génie des Procédés (LAGEP), CNRS UMR 5007, Université Lyon 1, France |
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Cites_doi | 10.1109/9.618250 10.1016/j.conengprac.2004.02.006 10.1002/acs.1032 10.1016/j.automatica.2008.08.013 10.1109/TAC.2009.2023962 10.3182/20080706-5-KR-1001.01691 10.1016/j.automatica.2009.03.012 10.1109/TAC.2004.832669 10.1080/00207170110086953 10.1109/ICARCV.2008.4795803 10.1109/9.400467 10.1007/BFb0002475 10.1016/S0167-6911(01)00118-9 10.1016/j.isatra.2009.04.003 10.1109/ACC.2002.1025342 10.1016/j.ins.2004.10.004 10.1002/acs.1044 10.1016/j.automatica.2003.11.003 10.1155/2008/231697 10.1109/ACC.2001.946251 10.1109/TAC.1977.1101502 10.1243/09596518JSCE346 10.1080/00207170210149934 10.1109/TCST.2007.894633 10.1109/CDC.2008.4739358 |
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article-title: A method for designing fault diagnosis filters for LPV polytopic systems publication-title: Journal of Control Science and Engineering doi: 10.1155/2008/231697 contributor: fullname: Grenaille S – ident: e_1_2_7_14_2 doi: 10.1109/ACC.2001.946251 – ident: e_1_2_7_2_2 doi: 10.1109/TAC.1977.1101502 – ident: e_1_2_7_19_2 doi: 10.1243/09596518JSCE346 – ident: e_1_2_7_26_2 doi: 10.1080/00207170210149934 – ident: e_1_2_7_10_2 doi: 10.1109/TCST.2007.894633 – ident: e_1_2_7_22_2 doi: 10.1109/CDC.2008.4739358 |
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In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed.... SUMMARY In this paper, a model-based fault estimation method for a particular class of discrete-time descriptor linear parameter-varying systems is developed.... In this paper, a model-based fault estimation method for a particular class of discrete-time Descriptor Linear Parameter Varying (D-LPV) systems is developed.... |
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SubjectTerms | Automatic descriptor systems Engineering Sciences fault estimation Faults LPV systems Mathematical analysis Mathematical models Observers State estimation Vectors (mathematics) |
Title | Fault diagnosis for a class of descriptor linear parameter-varying systems |
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