Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control
This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two different uncertain fractional-order time-delay chaotic systems, which are infinite dimensional in nature, and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional...
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| Veröffentlicht in: | IEEE transactions on fuzzy systems 2011-08, Vol.19 (4), p.623-635 |
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| container_title | IEEE transactions on fuzzy systems |
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| creator | Lin, Tsung-Chih Lee, Tun-Yuan |
| description | This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two different uncertain fractional-order time-delay chaotic systems, which are infinite dimensional in nature, and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional-order differential equations has more advantages than integer-order modeling, the adaptive time-delay fuzzy-logic system is constructed to approximate the unknown fractional-order time-delay-system functions. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned online by output-feedback-control law and adaptive law. The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but it also guarantees that the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology. |
| doi_str_mv | 10.1109/TFUZZ.2011.2127482 |
| format | Article |
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Because modeling the behavior of dynamical systems by fractional-order differential equations has more advantages than integer-order modeling, the adaptive time-delay fuzzy-logic system is constructed to approximate the unknown fractional-order time-delay-system functions. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned online by output-feedback-control law and adaptive law. The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but it also guarantees that the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology.</description><identifier>ISSN: 1063-6706</identifier><identifier>EISSN: 1941-0034</identifier><identifier>DOI: 10.1109/TFUZZ.2011.2127482</identifier><identifier>CODEN: IEFSEV</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Adaptation model ; Adaptive control systems ; Adaptive fuzzy ; Adaptive systems ; Chaos ; chaos synchronization ; Chaos theory ; Control systems ; Delay effects ; Dynamical systems ; fractional order ; Fuzzy ; Lyapunov criterion ; Mathematical model ; Sliding mode control ; sliding-mode control (SMC) ; Stability ; Studies ; Synchronism ; Synchronization ; time delay</subject><ispartof>IEEE transactions on fuzzy systems, 2011-08, Vol.19 (4), p.623-635</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Aug 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-eaf8cbc824b2df3a61f4be30a6fd6fabf7c55b980fe82d9ec6aeff36fde3f83e3</citedby><cites>FETCH-LOGICAL-c375t-eaf8cbc824b2df3a61f4be30a6fd6fabf7c55b980fe82d9ec6aeff36fde3f83e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/5733410$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/5733410$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Lin, Tsung-Chih</creatorcontrib><creatorcontrib>Lee, Tun-Yuan</creatorcontrib><title>Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control</title><title>IEEE transactions on fuzzy systems</title><addtitle>TFUZZ</addtitle><description>This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two different uncertain fractional-order time-delay chaotic systems, which are infinite dimensional in nature, and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional-order differential equations has more advantages than integer-order modeling, the adaptive time-delay fuzzy-logic system is constructed to approximate the unknown fractional-order time-delay-system functions. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned online by output-feedback-control law and adaptive law. The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but it also guarantees that the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology.</description><subject>Adaptation model</subject><subject>Adaptive control systems</subject><subject>Adaptive fuzzy</subject><subject>Adaptive systems</subject><subject>Chaos</subject><subject>chaos synchronization</subject><subject>Chaos theory</subject><subject>Control systems</subject><subject>Delay effects</subject><subject>Dynamical systems</subject><subject>fractional order</subject><subject>Fuzzy</subject><subject>Lyapunov criterion</subject><subject>Mathematical model</subject><subject>Sliding mode control</subject><subject>sliding-mode control (SMC)</subject><subject>Stability</subject><subject>Studies</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>time delay</subject><issn>1063-6706</issn><issn>1941-0034</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkT1PwzAQhiMEEqXwB2CxWJhS_JE4zlgKBaQiBlohsUSOc6au0rjYLlI78dNxKWJgutPd85x0epPknOABIbi8no5nb28DigkZUEKLTNCDpEfKjKQYs-ww9pizlBeYHycn3i8wJllORC_5Gs2l9ehl06m5s53ZymBsh6xGs06BC9J0aOyk2k1lmz67BhzaOcGoaPkAS49eTZijqVkCuoVWbtCN9NCgeGbYyFUwn4DG6-12g15a05juHT3ZBtDIdsHZ9jQ50rL1cPZb-8lsfDcdPaST5_vH0XCSKlbkIQWphaqVoFlNG80kJzqrgWHJdcO1rHWh8rwuBdYgaFOC4hK0ZnELTAsGrJ9c7e-unP1Ygw_V0ngFbSs7sGtflbgoORZcRPLyH7mwaxe_jxDJOccFLSNE95By1nsHulo5s5RuUxFc7SKpfiKpdpFUv5FE6WIvGQD4E_KCsYxg9g0zt4s1</recordid><startdate>201108</startdate><enddate>201108</enddate><creator>Lin, Tsung-Chih</creator><creator>Lee, Tun-Yuan</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>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7SP</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>201108</creationdate><title>Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control</title><author>Lin, Tsung-Chih ; Lee, Tun-Yuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-eaf8cbc824b2df3a61f4be30a6fd6fabf7c55b980fe82d9ec6aeff36fde3f83e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Adaptation model</topic><topic>Adaptive control systems</topic><topic>Adaptive fuzzy</topic><topic>Adaptive systems</topic><topic>Chaos</topic><topic>chaos synchronization</topic><topic>Chaos theory</topic><topic>Control systems</topic><topic>Delay effects</topic><topic>Dynamical systems</topic><topic>fractional order</topic><topic>Fuzzy</topic><topic>Lyapunov criterion</topic><topic>Mathematical model</topic><topic>Sliding mode control</topic><topic>sliding-mode control (SMC)</topic><topic>Stability</topic><topic>Studies</topic><topic>Synchronism</topic><topic>Synchronization</topic><topic>time delay</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lin, Tsung-Chih</creatorcontrib><creatorcontrib>Lee, Tun-Yuan</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>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research 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>Electronics & Communications Abstracts</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on fuzzy systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lin, Tsung-Chih</au><au>Lee, Tun-Yuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control</atitle><jtitle>IEEE transactions on fuzzy systems</jtitle><stitle>TFUZZ</stitle><date>2011-08</date><risdate>2011</risdate><volume>19</volume><issue>4</issue><spage>623</spage><epage>635</epage><pages>623-635</pages><issn>1063-6706</issn><eissn>1941-0034</eissn><coden>IEFSEV</coden><abstract>This paper proposes an adaptive fuzzy sliding mode control (AFSMC) to synchronize two different uncertain fractional-order time-delay chaotic systems, which are infinite dimensional in nature, and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional-order differential equations has more advantages than integer-order modeling, the adaptive time-delay fuzzy-logic system is constructed to approximate the unknown fractional-order time-delay-system functions. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned online by output-feedback-control law and adaptive law. The sliding mode design procedure not only guarantees the stability and robustness of the proposed AFSMC, but it also guarantees that the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TFUZZ.2011.2127482</doi><tpages>13</tpages></addata></record> |
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| ispartof | IEEE transactions on fuzzy systems, 2011-08, Vol.19 (4), p.623-635 |
| issn | 1063-6706 1941-0034 |
| language | eng |
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| subjects | Adaptation model Adaptive control systems Adaptive fuzzy Adaptive systems Chaos chaos synchronization Chaos theory Control systems Delay effects Dynamical systems fractional order Fuzzy Lyapunov criterion Mathematical model Sliding mode control sliding-mode control (SMC) Stability Studies Synchronism Synchronization time delay |
| title | Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control |
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