Adaptive Fuzzy Asymptotic Tracking for Nonlinear Systems With Nonstrict-Feedback Structure
In this article, the tracking control problems of the nonlinear nonstrict-feedback systems are considered. By combining the backstepping technique and bound estimation method, a novel nonlinear adaptive asymptotical control law is proposed, which offsets the effect of the unknown virtual control par...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2021-02, Vol.51 (2), p.853-861 |
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| container_title | IEEE transactions on cybernetics |
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| creator | Liang, Yanjun Li, Yuan-Xin Che, Wei-Wei Hou, Zhongsheng |
| description | In this article, the tracking control problems of the nonlinear nonstrict-feedback systems are considered. By combining the backstepping technique and bound estimation method, a novel nonlinear adaptive asymptotical control law is proposed, which offsets the effect of the unknown virtual control parameters and the uncertain nonlinearities. Correspondingly, an improved Lyapunov function by introducing the lower bounds of control parameters has been devised in this article. Compared with the existing adaptive tracking control schemes, the controller designed in this article can guarantee that the tracking control error converges to zero asymptotically and all the signals which contain the state variables and the adaptive laws are bounded. Moreover, the asymptotic stability of the system is realized for the first time. Finally, simulation examples are applied to test and prove the availability of the presented methods and the performance of the controlled system. |
| doi_str_mv | 10.1109/TCYB.2020.3002242 |
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By combining the backstepping technique and bound estimation method, a novel nonlinear adaptive asymptotical control law is proposed, which offsets the effect of the unknown virtual control parameters and the uncertain nonlinearities. Correspondingly, an improved Lyapunov function by introducing the lower bounds of control parameters has been devised in this article. Compared with the existing adaptive tracking control schemes, the controller designed in this article can guarantee that the tracking control error converges to zero asymptotically and all the signals which contain the state variables and the adaptive laws are bounded. Moreover, the asymptotic stability of the system is realized for the first time. 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(IEEE) 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-e197a3136cb7942d3e597215dd8aa81a092d76713d7fc3c2576883436a90cb7e3</citedby><cites>FETCH-LOGICAL-c349t-e197a3136cb7942d3e597215dd8aa81a092d76713d7fc3c2576883436a90cb7e3</cites><orcidid>0000-0003-4136-0961 ; 0000-0003-3657-0155 ; 0000-0001-5278-3420 ; 0000-0002-1077-3598</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9133337$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9133337$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/32619182$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Liang, Yanjun</creatorcontrib><creatorcontrib>Li, Yuan-Xin</creatorcontrib><creatorcontrib>Che, Wei-Wei</creatorcontrib><creatorcontrib>Hou, Zhongsheng</creatorcontrib><title>Adaptive Fuzzy Asymptotic Tracking for Nonlinear Systems With Nonstrict-Feedback Structure</title><title>IEEE transactions on cybernetics</title><addtitle>TCYB</addtitle><addtitle>IEEE Trans Cybern</addtitle><description>In this article, the tracking control problems of the nonlinear nonstrict-feedback systems are considered. By combining the backstepping technique and bound estimation method, a novel nonlinear adaptive asymptotical control law is proposed, which offsets the effect of the unknown virtual control parameters and the uncertain nonlinearities. Correspondingly, an improved Lyapunov function by introducing the lower bounds of control parameters has been devised in this article. Compared with the existing adaptive tracking control schemes, the controller designed in this article can guarantee that the tracking control error converges to zero asymptotically and all the signals which contain the state variables and the adaptive laws are bounded. Moreover, the asymptotic stability of the system is realized for the first time. Finally, simulation examples are applied to test and prove the availability of the presented methods and the performance of the controlled system.</description><subject>Adaptive control</subject><subject>Asymptotic properties</subject><subject>Asymptotic tracking control</subject><subject>Backstepping</subject><subject>backstepping method</subject><subject>Control systems</subject><subject>Control systems design</subject><subject>Control theory</subject><subject>Estimation</subject><subject>Feedback</subject><subject>fuzzy-logic systems (FLSs)</subject><subject>Liapunov functions</subject><subject>Lower bounds</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>nonstrict-feedback form</subject><subject>Offsets</subject><subject>Parameter uncertainty</subject><subject>Tracking control</subject><subject>Upper bound</subject><issn>2168-2267</issn><issn>2168-2275</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE9LwzAYh4Mobsx9ABGk4MVLZ_60TXKcw6kw9LCJ6KVk6TvNXNuZpEL36c3Y3MH3kvDm-f0ID0LnBA8IwfJmNnq7HVBM8YBhTGlCj1CXkkzElPL0-HDPeAf1nVviMCKspDhFHUYzIomgXfQ-LNTamx-Ixs1m00ZD15ZrX3ujo5lV-stUH9GittFTXa1MBcpG09Z5KF30avzndu28NdrHY4BiHgLR1NtG-8bCGTpZqJWD_v7soZfx3Wz0EE-e7x9Hw0msWSJ9DERyxQjL9JzLhBYMUskpSYtCKCWIwpIWPOOEFXyhmaYpz4RgCcuUxCECrIeud71rW3834HxeGqdhtVIV1I3LgxpMEiJkGtCrf-iybmwVfhcoHmpTwWSgyI7StnbOwiJfW1Mq2-YE51v3-dZ9vnWf792HzOW-uZmXUBwSf6YDcLEDDAAcniVhYTj7Be9bhtA</recordid><startdate>20210201</startdate><enddate>20210201</enddate><creator>Liang, Yanjun</creator><creator>Li, Yuan-Xin</creator><creator>Che, Wei-Wei</creator><creator>Hou, Zhongsheng</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><orcidid>https://orcid.org/0000-0003-4136-0961</orcidid><orcidid>https://orcid.org/0000-0003-3657-0155</orcidid><orcidid>https://orcid.org/0000-0001-5278-3420</orcidid><orcidid>https://orcid.org/0000-0002-1077-3598</orcidid></search><sort><creationdate>20210201</creationdate><title>Adaptive Fuzzy Asymptotic Tracking for Nonlinear Systems With Nonstrict-Feedback Structure</title><author>Liang, Yanjun ; Li, Yuan-Xin ; Che, Wei-Wei ; Hou, Zhongsheng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-e197a3136cb7942d3e597215dd8aa81a092d76713d7fc3c2576883436a90cb7e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Adaptive control</topic><topic>Asymptotic properties</topic><topic>Asymptotic tracking control</topic><topic>Backstepping</topic><topic>backstepping method</topic><topic>Control systems</topic><topic>Control systems design</topic><topic>Control theory</topic><topic>Estimation</topic><topic>Feedback</topic><topic>fuzzy-logic systems (FLSs)</topic><topic>Liapunov functions</topic><topic>Lower bounds</topic><topic>Nonlinear control</topic><topic>Nonlinear systems</topic><topic>nonstrict-feedback form</topic><topic>Offsets</topic><topic>Parameter uncertainty</topic><topic>Tracking control</topic><topic>Upper bound</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liang, Yanjun</creatorcontrib><creatorcontrib>Li, Yuan-Xin</creatorcontrib><creatorcontrib>Che, Wei-Wei</creatorcontrib><creatorcontrib>Hou, Zhongsheng</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998–Present</collection><collection>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>Liang, Yanjun</au><au>Li, Yuan-Xin</au><au>Che, Wei-Wei</au><au>Hou, Zhongsheng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adaptive Fuzzy Asymptotic Tracking for Nonlinear Systems With Nonstrict-Feedback Structure</atitle><jtitle>IEEE transactions on cybernetics</jtitle><stitle>TCYB</stitle><addtitle>IEEE Trans Cybern</addtitle><date>2021-02-01</date><risdate>2021</risdate><volume>51</volume><issue>2</issue><spage>853</spage><epage>861</epage><pages>853-861</pages><issn>2168-2267</issn><eissn>2168-2275</eissn><coden>ITCEB8</coden><abstract>In this article, the tracking control problems of the nonlinear nonstrict-feedback systems are considered. 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| subjects | Adaptive control Asymptotic properties Asymptotic tracking control Backstepping backstepping method Control systems Control systems design Control theory Estimation Feedback fuzzy-logic systems (FLSs) Liapunov functions Lower bounds Nonlinear control Nonlinear systems nonstrict-feedback form Offsets Parameter uncertainty Tracking control Upper bound |
| title | Adaptive Fuzzy Asymptotic Tracking for Nonlinear Systems With Nonstrict-Feedback Structure |
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