Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables
In this brief paper, the problem of H_{\infty } fuzzy filtering design is further studied and two cases (Case \mathbf {A} : the premise variables are known and Case \mathbf {B} : the premise variables are unknown) are considered. Different from all the filtering design methods in the literature,...
Gespeichert in:
| Veröffentlicht in: | IEEE access 2019, Vol.7, p.121975-121981 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 121981 |
|---|---|
| container_issue | |
| container_start_page | 121975 |
| container_title | IEEE access |
| container_volume | 7 |
| creator | Xie, Yuankun Liu, Juanjuan Wang, Likui |
| description | In this brief paper, the problem of H_{\infty } fuzzy filtering design is further studied and two cases (Case \mathbf {A} : the premise variables are known and Case \mathbf {B} : the premise variables are unknown) are considered. Different from all the filtering design methods in the literature, in this paper, the time derivatives of the membership functions involved in the Lyapunov function are dealt with by a switching method. Then, for different cases of the premise variables, different switching filters are designed and the membership function dependent Lyapunov function is applied to derive some LMIs (linear matrix inequalities). Furthermore, some discussions on how to further relax the results by applying the polynomial membership functions dependent matrices or by introducing more free variables are given in two remarks. In the end, two numerical examples are given to show the effectiveness of the proposed approach. |
| doi_str_mv | 10.1109/ACCESS.2019.2938797 |
| format | Article |
| fullrecord | <record><control><sourceid>doaj_ieee_</sourceid><recordid>TN_cdi_ieee_primary_8822417</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>8822417</ieee_id><doaj_id>oai_doaj_org_article_87f9c188f377445c92902235033d8219</doaj_id><sourcerecordid>oai_doaj_org_article_87f9c188f377445c92902235033d8219</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1757-d50ee4ad9ebc1ccd34a38b6bb6e5e0839fcedbc999dd01150a3dfc79da57cf6a3</originalsourceid><addsrcrecordid>eNpNkNtOAjEQhjdGEwnyBNz0BcAettv2kiAIkUQTRO9suu0sFGHXtEsMPL3LIcS5mck_-b-LL0m6BPcJwepxMByO5vM-xUT1qWJSKHGTtCjJVI9xlt3-u--TToxr3IxsIi5aydd4F-oVBDSvd85DRFWJJmjsNzUEXy7RE0S_LFFRBTTeHQ57NN_HGrbo09cr9FJWvyVqXovy-3S-Bdj6COjDBG_yDcSH5K4wmwidy24ni_HofTjpzV6fp8PBrGeJ4KLnOAZIjVOQW2KtY6lhMs_yPAMOWDJVWHC5VUo5hwnh2DBXWKGc4cIWmWHtZHrmusqs9U_wWxP2ujJen4IqLLUJtbcb0FIUyhIpCyZEmnKrqMKUMo4Zc5IS1bDYmWVDFWOA4sojWB-N67NxfTSuL8abVvfc8gBwbUhJaUoE-wOP7X1q</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables</title><source>IEEE Open Access Journals</source><source>DOAJ Directory of Open Access Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Xie, Yuankun ; Liu, Juanjuan ; Wang, Likui</creator><creatorcontrib>Xie, Yuankun ; Liu, Juanjuan ; Wang, Likui</creatorcontrib><description><![CDATA[In this brief paper, the problem of <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> fuzzy filtering design is further studied and two cases (Case <inline-formula> <tex-math notation="LaTeX">\mathbf {A} </tex-math></inline-formula>: the premise variables are known and Case <inline-formula> <tex-math notation="LaTeX">\mathbf {B} </tex-math></inline-formula>: the premise variables are unknown) are considered. Different from all the filtering design methods in the literature, in this paper, the time derivatives of the membership functions involved in the Lyapunov function are dealt with by a switching method. Then, for different cases of the premise variables, different switching filters are designed and the membership function dependent Lyapunov function is applied to derive some LMIs (linear matrix inequalities). Furthermore, some discussions on how to further relax the results by applying the polynomial membership functions dependent matrices or by introducing more free variables are given in two remarks. In the end, two numerical examples are given to show the effectiveness of the proposed approach.]]></description><identifier>ISSN: 2169-3536</identifier><identifier>EISSN: 2169-3536</identifier><identifier>DOI: 10.1109/ACCESS.2019.2938797</identifier><identifier>CODEN: IAECCG</identifier><language>eng</language><publisher>IEEE</publisher><subject>Delays ; Filtering ; filtering design ; Fuzzy systems ; Indexes ; Linear matrix inequalities ; linear matrix inequality ; Lyapunov methods ; non-parallel distributed compensation law ; Switches ; Takagi-Sugeno’s fuzzy model ; unknown premise variables</subject><ispartof>IEEE access, 2019, Vol.7, p.121975-121981</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1757-d50ee4ad9ebc1ccd34a38b6bb6e5e0839fcedbc999dd01150a3dfc79da57cf6a3</cites><orcidid>0000-0002-6718-1403</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8822417$$EHTML$$P50$$Gieee$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,2096,4010,27612,27902,27903,27904,54911</link.rule.ids></links><search><creatorcontrib>Xie, Yuankun</creatorcontrib><creatorcontrib>Liu, Juanjuan</creatorcontrib><creatorcontrib>Wang, Likui</creatorcontrib><title>Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables</title><title>IEEE access</title><addtitle>Access</addtitle><description><![CDATA[In this brief paper, the problem of <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> fuzzy filtering design is further studied and two cases (Case <inline-formula> <tex-math notation="LaTeX">\mathbf {A} </tex-math></inline-formula>: the premise variables are known and Case <inline-formula> <tex-math notation="LaTeX">\mathbf {B} </tex-math></inline-formula>: the premise variables are unknown) are considered. Different from all the filtering design methods in the literature, in this paper, the time derivatives of the membership functions involved in the Lyapunov function are dealt with by a switching method. Then, for different cases of the premise variables, different switching filters are designed and the membership function dependent Lyapunov function is applied to derive some LMIs (linear matrix inequalities). Furthermore, some discussions on how to further relax the results by applying the polynomial membership functions dependent matrices or by introducing more free variables are given in two remarks. In the end, two numerical examples are given to show the effectiveness of the proposed approach.]]></description><subject>Delays</subject><subject>Filtering</subject><subject>filtering design</subject><subject>Fuzzy systems</subject><subject>Indexes</subject><subject>Linear matrix inequalities</subject><subject>linear matrix inequality</subject><subject>Lyapunov methods</subject><subject>non-parallel distributed compensation law</subject><subject>Switches</subject><subject>Takagi-Sugeno’s fuzzy model</subject><subject>unknown premise variables</subject><issn>2169-3536</issn><issn>2169-3536</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>ESBDL</sourceid><sourceid>RIE</sourceid><sourceid>DOA</sourceid><recordid>eNpNkNtOAjEQhjdGEwnyBNz0BcAettv2kiAIkUQTRO9suu0sFGHXtEsMPL3LIcS5mck_-b-LL0m6BPcJwepxMByO5vM-xUT1qWJSKHGTtCjJVI9xlt3-u--TToxr3IxsIi5aydd4F-oVBDSvd85DRFWJJmjsNzUEXy7RE0S_LFFRBTTeHQ57NN_HGrbo09cr9FJWvyVqXovy-3S-Bdj6COjDBG_yDcSH5K4wmwidy24ni_HofTjpzV6fp8PBrGeJ4KLnOAZIjVOQW2KtY6lhMs_yPAMOWDJVWHC5VUo5hwnh2DBXWKGc4cIWmWHtZHrmusqs9U_wWxP2ujJen4IqLLUJtbcb0FIUyhIpCyZEmnKrqMKUMo4Zc5IS1bDYmWVDFWOA4sojWB-N67NxfTSuL8abVvfc8gBwbUhJaUoE-wOP7X1q</recordid><startdate>2019</startdate><enddate>2019</enddate><creator>Xie, Yuankun</creator><creator>Liu, Juanjuan</creator><creator>Wang, Likui</creator><general>IEEE</general><scope>97E</scope><scope>ESBDL</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-6718-1403</orcidid></search><sort><creationdate>2019</creationdate><title>Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables</title><author>Xie, Yuankun ; Liu, Juanjuan ; Wang, Likui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1757-d50ee4ad9ebc1ccd34a38b6bb6e5e0839fcedbc999dd01150a3dfc79da57cf6a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Delays</topic><topic>Filtering</topic><topic>filtering design</topic><topic>Fuzzy systems</topic><topic>Indexes</topic><topic>Linear matrix inequalities</topic><topic>linear matrix inequality</topic><topic>Lyapunov methods</topic><topic>non-parallel distributed compensation law</topic><topic>Switches</topic><topic>Takagi-Sugeno’s fuzzy model</topic><topic>unknown premise variables</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xie, Yuankun</creatorcontrib><creatorcontrib>Liu, Juanjuan</creatorcontrib><creatorcontrib>Wang, Likui</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE Open Access Journals</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>IEEE access</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xie, Yuankun</au><au>Liu, Juanjuan</au><au>Wang, Likui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables</atitle><jtitle>IEEE access</jtitle><stitle>Access</stitle><date>2019</date><risdate>2019</risdate><volume>7</volume><spage>121975</spage><epage>121981</epage><pages>121975-121981</pages><issn>2169-3536</issn><eissn>2169-3536</eissn><coden>IAECCG</coden><abstract><![CDATA[In this brief paper, the problem of <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> fuzzy filtering design is further studied and two cases (Case <inline-formula> <tex-math notation="LaTeX">\mathbf {A} </tex-math></inline-formula>: the premise variables are known and Case <inline-formula> <tex-math notation="LaTeX">\mathbf {B} </tex-math></inline-formula>: the premise variables are unknown) are considered. Different from all the filtering design methods in the literature, in this paper, the time derivatives of the membership functions involved in the Lyapunov function are dealt with by a switching method. Then, for different cases of the premise variables, different switching filters are designed and the membership function dependent Lyapunov function is applied to derive some LMIs (linear matrix inequalities). Furthermore, some discussions on how to further relax the results by applying the polynomial membership functions dependent matrices or by introducing more free variables are given in two remarks. In the end, two numerical examples are given to show the effectiveness of the proposed approach.]]></abstract><pub>IEEE</pub><doi>10.1109/ACCESS.2019.2938797</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0002-6718-1403</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2169-3536 |
| ispartof | IEEE access, 2019, Vol.7, p.121975-121981 |
| issn | 2169-3536 2169-3536 |
| language | eng |
| recordid | cdi_ieee_primary_8822417 |
| source | IEEE Open Access Journals; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Delays Filtering filtering design Fuzzy systems Indexes Linear matrix inequalities linear matrix inequality Lyapunov methods non-parallel distributed compensation law Switches Takagi-Sugeno’s fuzzy model unknown premise variables |
| title | Further Studies on H Filtering Design for Fuzzy System With Known or Unknown Premise Variables |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T17%3A56%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-doaj_ieee_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Further%20Studies%20on%20H%20Filtering%20Design%20for%20Fuzzy%20System%20With%20Known%20or%20Unknown%20Premise%20Variables&rft.jtitle=IEEE%20access&rft.au=Xie,%20Yuankun&rft.date=2019&rft.volume=7&rft.spage=121975&rft.epage=121981&rft.pages=121975-121981&rft.issn=2169-3536&rft.eissn=2169-3536&rft.coden=IAECCG&rft_id=info:doi/10.1109/ACCESS.2019.2938797&rft_dat=%3Cdoaj_ieee_%3Eoai_doaj_org_article_87f9c188f377445c92902235033d8219%3C/doaj_ieee_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=8822417&rft_doaj_id=oai_doaj_org_article_87f9c188f377445c92902235033d8219&rfr_iscdi=true |