Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach
This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation obser...
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| Published in | Open mathematics (Warsaw, Poland) Vol. 14; no. 1; pp. 986 - 1006 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter Open
01.01.2016
De Gruyter |
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| Online Access | Get full text |
| ISSN | 2391-5455 2391-5455 |
| DOI | 10.1515/math-2016-0089 |
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| Abstract | This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under
constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed
performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods. |
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| AbstractList | This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under
H
∞
constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed
H
∞
performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods. This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods. This paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H ∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H ∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods. |
| Author | He, Xiqin Sun, Chao Wang, Fuli |
| Author_xml | – sequence: 1 givenname: Chao surname: Sun fullname: Sun, Chao email: chaosun@ustl.edu.cn organization: College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, China and School of Science, University of Science and Technology Liaoning, Anshan, 114051, China – sequence: 2 givenname: Fuli surname: Wang fullname: Wang, Fuli email: Wangfuli@ise.neu.edu.cn organization: College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, China and State Key Laboratory of Synthetical Automation of Process Industries, Northeastern University, Shenyang, Liaoning, 110819, China – sequence: 3 givenname: Xiqin surname: He fullname: He, Xiqin email: Xiqinhe@ustl.edu.cn organization: School of Science, University of Science and Technology Liaoning, Anshan, 114051, China |
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| Cites_doi | 10.1002/acs.2372 10.1109/TFUZZ.2007.905915 10.1007/s12555-013-0350-z 10.1109/TNN.2009.2036610 10.1049/iet-cta.2012.0465 10.1016/j.isatra.2012.10.007 10.1007/s00034-014-9855-9 10.1016/j.jfranklin.2013.03.017 10.1016/j.fss.2011.06.016 10.1109/TSMCB.2010.2051541 10.1155/2014/523462 10.1016/j.jfranklin.2015.02.007 10.1049/iet-cta:20060412 10.1049/iet-cta.2013.0709 10.1109/TFUZZ.2006.883415 10.1049/iet-cta.2013.0676 10.1109/TFUZZ.2014.2298053 10.1016/j.nahs.2015.06.003 10.1016/j.fss.2006.01.010 10.1016/j.fss.2008.10.014 10.1049/iet-cta.2009.0351 10.1109/TFUZZ.2009.2036005 10.1016/j.fss.2012.06.009 10.1007/s00034-009-9109-4 10.1007/s00034-013-9676-2 10.1109/91.811241 10.1016/j.jfranklin.2013.02.030 10.1109/TSMCB.2008.917185 10.1049/iet-cta:20060299 10.1016/j.fss.2014.05.019 10.1016/j.automatica.2005.08.005 10.1109/TFUZZ.2010.2089632 10.1109/TIE.2015.2404784 10.1049/iet-cta.2011.0524 10.1049/iet-cta:20070375 10.1016/j.fss.2008.04.009 10.1016/j.fss.2005.06.022 10.1049/iet-cta.2011.0435 |
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| SubjectTerms | 34D23 37B25 93D09 Actuator fault compensation Asymptotically stable Disturbance rejection Fault estimation Fault-tolerant control Linear matrix inequalities T-S fuzzy models Time-varying delay |
| Title | Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach |
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