Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
In this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based...
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| Veröffentlicht in: | IEEE access 2018, Vol.6, p.70487-70496 |
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| creator | Du, Dongsheng Xu, Shengyuan Cocquempot, Vincent |
| description | In this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an H_{\infty }/H_{-} performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques. |
| doi_str_mv | 10.1109/ACCESS.2018.2880958 |
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The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an <inline-formula> <tex-math notation="LaTeX">H_{\infty }/H_{-} </tex-math></inline-formula> performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques.</description><identifier>ISSN: 2169-3536</identifier><identifier>EISSN: 2169-3536</identifier><identifier>DOI: 10.1109/ACCESS.2018.2880958</identifier><identifier>CODEN: IAECCG</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Automatic ; Automatic Control Engineering ; Chemical reactors ; Computer Science ; Discrete time systems ; discrete-time switched system ; Engineering Sciences ; Fault detection ; Fault detection filter ; Filter design (mathematics) ; finite frequency domain ; H-infinity control ; Intervals ; Liapunov functions ; Linear matrix inequalities ; Observers ; Performance indices ; Switched systems ; Switches ; Symmetric matrices</subject><ispartof>IEEE access, 2018, Vol.6, p.70487-70496</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c442t-42a03e022dce75b1bd8e9dc8d93f39bade5a13546c55434db00870eee3af81b73</citedby><cites>FETCH-LOGICAL-c442t-42a03e022dce75b1bd8e9dc8d93f39bade5a13546c55434db00870eee3af81b73</cites><orcidid>0000-0001-8277-0364 ; 0000-0001-7281-911X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8532352$$EHTML$$P50$$Gieee$$Hfree_for_read</linktohtml><link.rule.ids>230,315,781,785,865,886,2103,4025,27638,27928,27929,27930,54938</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02424127$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Du, Dongsheng</creatorcontrib><creatorcontrib>Xu, Shengyuan</creatorcontrib><creatorcontrib>Cocquempot, Vincent</creatorcontrib><title>Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems</title><title>IEEE access</title><addtitle>Access</addtitle><description>In this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an <inline-formula> <tex-math notation="LaTeX">H_{\infty }/H_{-} </tex-math></inline-formula> performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques.</description><subject>Automatic</subject><subject>Automatic Control Engineering</subject><subject>Chemical reactors</subject><subject>Computer Science</subject><subject>Discrete time systems</subject><subject>discrete-time switched system</subject><subject>Engineering Sciences</subject><subject>Fault detection</subject><subject>Fault detection filter</subject><subject>Filter design (mathematics)</subject><subject>finite frequency domain</subject><subject>H-infinity control</subject><subject>Intervals</subject><subject>Liapunov functions</subject><subject>Linear matrix inequalities</subject><subject>Observers</subject><subject>Performance indices</subject><subject>Switched systems</subject><subject>Switches</subject><subject>Symmetric matrices</subject><issn>2169-3536</issn><issn>2169-3536</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>ESBDL</sourceid><sourceid>RIE</sourceid><sourceid>DOA</sourceid><recordid>eNpVkV9LwzAUxYsoKLpP4EvBJx8683dNHsdc3WAgMn0OaXKrGV2rSabs25tZGZqXXE7O_SU3J8uuMRpjjOTddDabr9djgrAYEyGQ5OIkuyB4IgvK6eT0T32ejULYoLREknh5kT1VrnMRisrDxw46s88rvWtjfg8RTHR9l1eujeCTENxrlzd9Kl0wPp0Xz24L-frLRfMGNl_vQ4RtuMrOGt0GGP3ul9lLNX-eLYrV48NyNl0VhjESC0Y0ooAIsQZKXuPaCpDWCCtpQ2WtLXCNKWcTwzmjzNbpzSUCAKobgeuSXmbLgWt7vVHv3m2136teO_Uj9P5VaR-daUEJQaThOl1AMEPGSitLbgAzYTSRNU-s24H1ptt_qMV0pQ4aIowwTMpPnLw3g_fd9-nLQlSbfue7NKoijHMxobw8EOngMr4PwUNzxGKkDrGpITZ1iE39xpa6roculwY9dghOCeWEfgNi9JIV</recordid><startdate>2018</startdate><enddate>2018</enddate><creator>Du, Dongsheng</creator><creator>Xu, Shengyuan</creator><creator>Cocquempot, Vincent</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an <inline-formula> <tex-math notation="LaTeX">H_{\infty }/H_{-} </tex-math></inline-formula> performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/ACCESS.2018.2880958</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0001-8277-0364</orcidid><orcidid>https://orcid.org/0000-0001-7281-911X</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Automatic Automatic Control Engineering Chemical reactors Computer Science Discrete time systems discrete-time switched system Engineering Sciences Fault detection Fault detection filter Filter design (mathematics) finite frequency domain H-infinity control Intervals Liapunov functions Linear matrix inequalities Observers Performance indices Switched systems Switches Symmetric matrices |
| title | Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems |
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