A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems
This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2011-02, Vol.41 (1), p.273-286 |
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| creator | Wu, Ligang Su, Xiaojie Shi, Peng Qiu, Jianbin |
| description | This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper. |
| doi_str_mv | 10.1109/TSMCB.2010.2051541 |
| format | Article |
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Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. 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(IEEE) Feb 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-5ae28468f7b800d406ef1cdce9ad8897d737f98a30a98b3c13010df14f2ab37e3</citedby><cites>FETCH-LOGICAL-c382t-5ae28468f7b800d406ef1cdce9ad8897d737f98a30a98b3c13010df14f2ab37e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5508314$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,777,781,793,27905,27906,54739</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5508314$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/20624710$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Wu, Ligang</creatorcontrib><creatorcontrib>Su, Xiaojie</creatorcontrib><creatorcontrib>Shi, Peng</creatorcontrib><creatorcontrib>Qiu, Jianbin</creatorcontrib><title>A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems</title><title>IEEE transactions on cybernetics</title><addtitle>TSMCB</addtitle><addtitle>IEEE Trans Syst Man Cybern B Cybern</addtitle><description>This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.</description><subject>Control system synthesis</subject><subject>Cybernetics</subject><subject>Delay</subject><subject>Delay partitioning</subject><subject>Delay systems</subject><subject>discrete-time</subject><subject>Fuzzy</subject><subject>Fuzzy control</subject><subject>Fuzzy logic</subject><subject>Fuzzy set theory</subject><subject>Fuzzy systems</subject><subject>Nonlinear control systems</subject><subject>Nonlinear systems</subject><subject>Optimization techniques</subject><subject>Partitioning</subject><subject>Space technology</subject><subject>stability</subject><subject>Stability analysis</subject><subject>Stabilization</subject><subject>Studies</subject><subject>Takagi-Sugeno (T-S) fuzzy systems</subject><subject>Takagi-Sugeno model</subject><subject>Time varying systems</subject><subject>time-delay</subject><issn>1083-4419</issn><issn>2168-2267</issn><issn>1941-0492</issn><issn>2168-2275</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kUtP3DAURi1UxKv9AyBVFhvYhF4_EtvL6fCqBO1ipmwjJ7kBozymcSKU-fV1mIEFC1b2tc_9ZN9DyDGDC8bA_Fgu7uc_LziEmkPMYsl2yAEzkkUgDf8S9qBFJCUz--TQ-2cAMGDUHtnnkHCpGByQakZ_4wudrVZda_Mn2rd00dvMVa4f6ayx1eidp7Yp3o7XtndtQ9uSXjqfd9hjtHQ10mW0oNfDej3SqYwebDe65pFeYmVHuhh9j7X_SnZLW3n8tl2PyN_rq-X8Nrr7c_NrPruLcqF5H8UWuZaJLlWmAQoJCZYsL3I0ttDaqEIJVRptBVijM5EzEUZQlEyW3GZCoTgiZ5vc8Kl_A_o-rcNbsapsg-3gUy1BxJJrEcjzT0kGYkpXcRLQ0w_oczt0YUJTXmK4UgICxDdQ3rXed1imq87VYRYhKZ2kpa_S0klaupUWmr5vk4esxuK95c1SAE42gEPE9-s4DnqZFP8B6JGZyw</recordid><startdate>201102</startdate><enddate>201102</enddate><creator>Wu, Ligang</creator><creator>Su, Xiaojie</creator><creator>Shi, Peng</creator><creator>Qiu, Jianbin</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope></search><sort><creationdate>201102</creationdate><title>A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems</title><author>Wu, Ligang ; Su, Xiaojie ; Shi, Peng ; Qiu, Jianbin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-5ae28468f7b800d406ef1cdce9ad8897d737f98a30a98b3c13010df14f2ab37e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Control system synthesis</topic><topic>Cybernetics</topic><topic>Delay</topic><topic>Delay partitioning</topic><topic>Delay systems</topic><topic>discrete-time</topic><topic>Fuzzy</topic><topic>Fuzzy control</topic><topic>Fuzzy logic</topic><topic>Fuzzy set theory</topic><topic>Fuzzy systems</topic><topic>Nonlinear control systems</topic><topic>Nonlinear systems</topic><topic>Optimization techniques</topic><topic>Partitioning</topic><topic>Space technology</topic><topic>stability</topic><topic>Stability analysis</topic><topic>Stabilization</topic><topic>Studies</topic><topic>Takagi-Sugeno (T-S) fuzzy systems</topic><topic>Takagi-Sugeno model</topic><topic>Time varying systems</topic><topic>time-delay</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Ligang</creatorcontrib><creatorcontrib>Su, Xiaojie</creatorcontrib><creatorcontrib>Shi, Peng</creatorcontrib><creatorcontrib>Qiu, Jianbin</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on cybernetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wu, Ligang</au><au>Su, Xiaojie</au><au>Shi, Peng</au><au>Qiu, Jianbin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems</atitle><jtitle>IEEE transactions on cybernetics</jtitle><stitle>TSMCB</stitle><addtitle>IEEE Trans Syst Man Cybern B Cybern</addtitle><date>2011-02</date><risdate>2011</risdate><volume>41</volume><issue>1</issue><spage>273</spage><epage>286</epage><pages>273-286</pages><issn>1083-4419</issn><issn>2168-2267</issn><eissn>1941-0492</eissn><eissn>2168-2275</eissn><coden>ITSCFI</coden><abstract>This paper investigates the problems of stability analysis and stabilization for a class of discrete-time Takagi-Sugeno fuzzy systems with time-varying state delay. Based on a novel fuzzy Lyapunov-Krasovskii functional, a delay partitioning method has been developed for the delay-dependent stability analysis of fuzzy time-varying state delay systems. As a result of the novel idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. A delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is given for the closed-loop fuzzy systems. The proposed stability and stabilization conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved readily by using existing LMI optimization techniques. Finally, two illustrative examples are provided to demonstrate the effectiveness of the techniques proposed in this paper.</abstract><cop>United States</cop><pub>IEEE</pub><pmid>20624710</pmid><doi>10.1109/TSMCB.2010.2051541</doi><tpages>14</tpages></addata></record> |
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| source | IEEE Electronic Library (IEL) |
| subjects | Control system synthesis Cybernetics Delay Delay partitioning Delay systems discrete-time Fuzzy Fuzzy control Fuzzy logic Fuzzy set theory Fuzzy systems Nonlinear control systems Nonlinear systems Optimization techniques Partitioning Space technology stability Stability analysis Stabilization Studies Takagi-Sugeno (T-S) fuzzy systems Takagi-Sugeno model Time varying systems time-delay |
| title | A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems |
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