Fault-Tolerant Control for Flexible Structures With Partial Output Constraint
In this paper, we propose an adaptive fault-tolerant control strategy for flexible string systems and extend the result to Euler-Bernoulli beam systems under deferred and asymmetric boundary partial output constraints. The designed control strategies consist of a boundary control law and two adaptiv...
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Veröffentlicht in: | IEEE transactions on automatic control 2024-04, Vol.69 (4), p.1-8 |
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creator | Han, Zhiji Liu, Zhijie Wang, Jun-Wei He, Wei |
description | In this paper, we propose an adaptive fault-tolerant control strategy for flexible string systems and extend the result to Euler-Bernoulli beam systems under deferred and asymmetric boundary partial output constraints. The designed control strategies consist of a boundary control law and two adaptive parameter update laws. A hyperbolic tangent function is applied to realize rejection to disturbance. With the adaptive technique, the unknown actuator faults are compensated. The deferred partial output constraints are addressed by utilizing a shifting function to remove the initial limitation on the boundary output and constructing a novel asymmetric barrier Lyapunov function. Furthermore, it is proven that both the controlled string and Euler-Bernoulli beam systems are well-posed and meet the deferred constraint conditions. Finally, extensive simulation examples are presented to demonstrate the performance of the proposed control methods. |
doi_str_mv | 10.1109/TAC.2023.3337110 |
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The designed control strategies consist of a boundary control law and two adaptive parameter update laws. A hyperbolic tangent function is applied to realize rejection to disturbance. With the adaptive technique, the unknown actuator faults are compensated. The deferred partial output constraints are addressed by utilizing a shifting function to remove the initial limitation on the boundary output and constructing a novel asymmetric barrier Lyapunov function. Furthermore, it is proven that both the controlled string and Euler-Bernoulli beam systems are well-posed and meet the deferred constraint conditions. Finally, extensive simulation examples are presented to demonstrate the performance of the proposed control methods.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.2023.3337110</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Actuators ; Adaptive control ; Asymmetry ; Boundary control ; Constraint control ; Constraint modelling ; Control methods ; Control theory ; distributed parameter system ; Euler-Bernoulli beams ; Fault tolerance ; Fault tolerant systems ; fault-tolerant control ; flexible structure ; Flexible structures ; Hilbert space ; Hyperbolic functions ; Liapunov functions ; Mathematical models ; relaxed initial condition ; Strings ; Vibrations</subject><ispartof>IEEE transactions on automatic control, 2024-04, Vol.69 (4), p.1-8</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2024</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c292t-5501ac8eb1cd99196cc379e8523b9ef7cb872e2533c071c4f458921b9789e63</citedby><cites>FETCH-LOGICAL-c292t-5501ac8eb1cd99196cc379e8523b9ef7cb872e2533c071c4f458921b9789e63</cites><orcidid>0000-0001-9522-4178 ; 0000-0002-2737-9343 ; 0000-0002-8944-9861 ; 0000-0003-0040-8914</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/10329438$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/10329438$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Han, Zhiji</creatorcontrib><creatorcontrib>Liu, Zhijie</creatorcontrib><creatorcontrib>Wang, Jun-Wei</creatorcontrib><creatorcontrib>He, Wei</creatorcontrib><title>Fault-Tolerant Control for Flexible Structures With Partial Output Constraint</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>In this paper, we propose an adaptive fault-tolerant control strategy for flexible string systems and extend the result to Euler-Bernoulli beam systems under deferred and asymmetric boundary partial output constraints. The designed control strategies consist of a boundary control law and two adaptive parameter update laws. A hyperbolic tangent function is applied to realize rejection to disturbance. With the adaptive technique, the unknown actuator faults are compensated. The deferred partial output constraints are addressed by utilizing a shifting function to remove the initial limitation on the boundary output and constructing a novel asymmetric barrier Lyapunov function. Furthermore, it is proven that both the controlled string and Euler-Bernoulli beam systems are well-posed and meet the deferred constraint conditions. Finally, extensive simulation examples are presented to demonstrate the performance of the proposed control methods.</description><subject>Actuators</subject><subject>Adaptive control</subject><subject>Asymmetry</subject><subject>Boundary control</subject><subject>Constraint control</subject><subject>Constraint modelling</subject><subject>Control methods</subject><subject>Control theory</subject><subject>distributed parameter system</subject><subject>Euler-Bernoulli beams</subject><subject>Fault tolerance</subject><subject>Fault tolerant systems</subject><subject>fault-tolerant control</subject><subject>flexible structure</subject><subject>Flexible structures</subject><subject>Hilbert space</subject><subject>Hyperbolic functions</subject><subject>Liapunov functions</subject><subject>Mathematical models</subject><subject>relaxed initial condition</subject><subject>Strings</subject><subject>Vibrations</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkM1LAzEQxYMoWKt3Dx4CnrfmY7ObHMtiq1Cp0ILHkI2zuCXu1nyA_vemtgdPwwzvzbz5IXRLyYxSoh6282bGCOMzznmdJ2doQoWQBROMn6MJIVQWisnqEl2FsMttVZZ0gl4WJrlYbEcH3gwRN-MQ_ehwN3q8cPDdtw7wJvpkY_IQ8FsfP_Cr8bE3Dq9T3Kc_T4je9EO8RhedcQFuTnWKNovHbfNUrNbL52a-KixTLBZCEGqshJbad6WoqqzltQKZo7YKutq2smbABOeW1NSWXSmkYrRVtVRQ8Sm6P27d-_ErQYh6NyY_5IOaEyoIz9-JrCJHlfVjCB46vff9p_E_mhJ9QKYzMn1Apk_IsuXuaOkB4J-cM1VyyX8BX1lm9Q</recordid><startdate>20240401</startdate><enddate>20240401</enddate><creator>Han, Zhiji</creator><creator>Liu, Zhijie</creator><creator>Wang, Jun-Wei</creator><creator>He, Wei</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>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0001-9522-4178</orcidid><orcidid>https://orcid.org/0000-0002-2737-9343</orcidid><orcidid>https://orcid.org/0000-0002-8944-9861</orcidid><orcidid>https://orcid.org/0000-0003-0040-8914</orcidid></search><sort><creationdate>20240401</creationdate><title>Fault-Tolerant Control for Flexible Structures With Partial Output Constraint</title><author>Han, Zhiji ; Liu, Zhijie ; Wang, Jun-Wei ; He, Wei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-5501ac8eb1cd99196cc379e8523b9ef7cb872e2533c071c4f458921b9789e63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Actuators</topic><topic>Adaptive control</topic><topic>Asymmetry</topic><topic>Boundary control</topic><topic>Constraint control</topic><topic>Constraint modelling</topic><topic>Control methods</topic><topic>Control theory</topic><topic>distributed parameter system</topic><topic>Euler-Bernoulli beams</topic><topic>Fault tolerance</topic><topic>Fault tolerant systems</topic><topic>fault-tolerant control</topic><topic>flexible structure</topic><topic>Flexible structures</topic><topic>Hilbert space</topic><topic>Hyperbolic functions</topic><topic>Liapunov functions</topic><topic>Mathematical models</topic><topic>relaxed initial condition</topic><topic>Strings</topic><topic>Vibrations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Han, Zhiji</creatorcontrib><creatorcontrib>Liu, Zhijie</creatorcontrib><creatorcontrib>Wang, Jun-Wei</creatorcontrib><creatorcontrib>He, Wei</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>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering 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><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Han, Zhiji</au><au>Liu, Zhijie</au><au>Wang, Jun-Wei</au><au>He, Wei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fault-Tolerant Control for Flexible Structures With Partial Output Constraint</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2024-04-01</date><risdate>2024</risdate><volume>69</volume><issue>4</issue><spage>1</spage><epage>8</epage><pages>1-8</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>In this paper, we propose an adaptive fault-tolerant control strategy for flexible string systems and extend the result to Euler-Bernoulli beam systems under deferred and asymmetric boundary partial output constraints. The designed control strategies consist of a boundary control law and two adaptive parameter update laws. A hyperbolic tangent function is applied to realize rejection to disturbance. With the adaptive technique, the unknown actuator faults are compensated. The deferred partial output constraints are addressed by utilizing a shifting function to remove the initial limitation on the boundary output and constructing a novel asymmetric barrier Lyapunov function. Furthermore, it is proven that both the controlled string and Euler-Bernoulli beam systems are well-posed and meet the deferred constraint conditions. 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subjects | Actuators Adaptive control Asymmetry Boundary control Constraint control Constraint modelling Control methods Control theory distributed parameter system Euler-Bernoulli beams Fault tolerance Fault tolerant systems fault-tolerant control flexible structure Flexible structures Hilbert space Hyperbolic functions Liapunov functions Mathematical models relaxed initial condition Strings Vibrations |
title | Fault-Tolerant Control for Flexible Structures With Partial Output Constraint |
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