Robust fault estimation for uncertain switched linear systems with time-varying delay
The problem of fault estimation is investigated for a class of uncertain switched systems with time-varying delay. A robust observer-based fault estimator is designed such that the augment error system is exponentially stable and the H ∞ performance index meets the predefined requirements. Based on...
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Published in | Journal of Central South University Vol. 22; no. 11; pp. 4254 - 4262 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Changsha
Central South University
01.11.2015
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Subjects | |
Online Access | Get full text |
ISSN | 2095-2899 2227-5223 |
DOI | 10.1007/s11771-015-2974-z |
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Abstract | The problem of fault estimation is investigated for a class of uncertain switched systems with time-varying delay. A robust observer-based fault estimator is designed such that the augment error system is exponentially stable and the
H
∞
performance index meets the predefined requirements. Based on the multiple Lyapunov-Krasovskii functions and the average dwell-time method, the delay dependent sufficient conditions on the existence of desired fault estimator are established. However, since these conditions are not linear matrix inequalities (LMIS), they can not be solved by MATLAB. By using a novel method, these conditions are presented in terms of LMIS. Finally, a numerical example is carried out. The designed fault estimator could tract the fault signal timely. Besides, the error between estimation and fault is very small. Therefore, the validity of the obtained results is illustrated. |
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AbstractList | The problem of fault estimation is investigated for a class of uncertain switched systems with time-varying delay. A robust observer-based fault estimator is designed such that the augment error system is exponentially stable and the
H
∞
performance index meets the predefined requirements. Based on the multiple Lyapunov-Krasovskii functions and the average dwell-time method, the delay dependent sufficient conditions on the existence of desired fault estimator are established. However, since these conditions are not linear matrix inequalities (LMIS), they can not be solved by MATLAB. By using a novel method, these conditions are presented in terms of LMIS. Finally, a numerical example is carried out. The designed fault estimator could tract the fault signal timely. Besides, the error between estimation and fault is very small. Therefore, the validity of the obtained results is illustrated. |
Author | Chen, Chun-yang Chen, Te-fang Zhong, Yan-ke |
Author_xml | – sequence: 1 givenname: Yan-ke surname: Zhong fullname: Zhong, Yan-ke email: zhongyanke1981@163.com organization: School of Information Science and Engineering, Central South University, School of Electrical and Electronic Engineering, East China Jiaotong University – sequence: 2 givenname: Te-fang surname: Chen fullname: Chen, Te-fang organization: School of Information Science and Engineering, Central South University – sequence: 3 givenname: Chun-yang surname: Chen fullname: Chen, Chun-yang organization: School of Information Science and Engineering, Central South University |
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Cites_doi | 10.3724/SP.J.1004.2012.02005 10.1016/S0005-1098(99)00177-6 10.1080/00207720903045791 10.1016/j.sigpro.2010.08.016 10.1109/TSMCB.2008.2007498 10.1080/00207179.2011.598191 10.1016/j.jfranklin.2013.09.006 10.1016/j.sysconle.2013.07.003 10.1007/s12555-011-0303-3 10.1080/00207721003770726 10.1007/s12555-009-0516-x 10.1016/j.automatica.2004.01.024 10.1109/TPEL.2004.833454 10.1109/TAC.2002.804474 10.1049/iet-cta.2008.0517 10.1080/00207721.2010.517867 10.1109/9.920792 10.1080/00207721.2012.762561 10.1109/TAC.2003.812781 10.1002/asjc.649 |
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Keywords | time-varying delay model uncertainty switched linear system average dwell-time fault estimation |
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