Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems
This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using ε -dependent control law. The c...
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| Veröffentlicht in: | International journal of automation and computing 2018-12, Vol.15 (6), p.736-746 |
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| container_title | International journal of automation and computing |
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| creator | Tellili, Adel Abdelkrim, Nouceyba Challouf, Amina Abdelkrim, Mohamed-Naceur |
| description | This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using
ε
-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law
ε
-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method. |
| doi_str_mv | 10.1007/s11633-016-0971-9 |
| format | Article |
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ε
-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law
ε
-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method.</description><identifier>ISSN: 1476-8186</identifier><identifier>ISSN: 2153-182X</identifier><identifier>EISSN: 1751-8520</identifier><identifier>EISSN: 2153-1838</identifier><identifier>DOI: 10.1007/s11633-016-0971-9</identifier><language>eng</language><publisher>Beijing: Institute of Automation, Chinese Academy of Sciences</publisher><subject>Actuators ; Adaptive control ; Automation ; CAE) and Design ; Closed loops ; Computer Applications ; Computer-Aided Engineering (CAD ; Conditioning ; Control ; Control stability ; Control theory ; Controllers ; Decomposition ; Design ; Engineering ; Fault diagnosis ; Fault tolerance ; Mechatronics ; Research Article ; Robotics ; Robust control ; Robustness (mathematics) ; Sensors ; Singular perturbation methods ; Stiffness ; Subsystems ; Systems stability</subject><ispartof>International journal of automation and computing, 2018-12, Vol.15 (6), p.736-746</ispartof><rights>Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2016</rights><rights>Copyright Springer Science & Business Media 2018</rights><rights>Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2016.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-526a4897899ba52c64ceafed1e6235f492cb0e5e555afbe1483187b75693015d3</citedby><cites>FETCH-LOGICAL-c344t-526a4897899ba52c64ceafed1e6235f492cb0e5e555afbe1483187b75693015d3</cites><orcidid>0000-0002-2648-3798</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2918683625?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,776,780,21367,27901,27902,33721,43781</link.rule.ids></links><search><creatorcontrib>Tellili, Adel</creatorcontrib><creatorcontrib>Abdelkrim, Nouceyba</creatorcontrib><creatorcontrib>Challouf, Amina</creatorcontrib><creatorcontrib>Abdelkrim, Mohamed-Naceur</creatorcontrib><title>Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems</title><title>International journal of automation and computing</title><addtitle>Int. J. Autom. Comput</addtitle><description>This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using
ε
-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law
ε
-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method.</description><subject>Actuators</subject><subject>Adaptive control</subject><subject>Automation</subject><subject>CAE) and Design</subject><subject>Closed loops</subject><subject>Computer Applications</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Conditioning</subject><subject>Control</subject><subject>Control stability</subject><subject>Control theory</subject><subject>Controllers</subject><subject>Decomposition</subject><subject>Design</subject><subject>Engineering</subject><subject>Fault diagnosis</subject><subject>Fault tolerance</subject><subject>Mechatronics</subject><subject>Research Article</subject><subject>Robotics</subject><subject>Robust control</subject><subject>Robustness (mathematics)</subject><subject>Sensors</subject><subject>Singular perturbation methods</subject><subject>Stiffness</subject><subject>Subsystems</subject><subject>Systems stability</subject><issn>1476-8186</issn><issn>2153-182X</issn><issn>1751-8520</issn><issn>2153-1838</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kEtLw0AQxxdRsFY_gLeA59V9P46lWBUUC63nZZNOSkqa1N2N0G_vlgie9DQD838wP4RuKbmnhOiHSKniHBOqMLGaYnuGJlRLio1k5DzvQitsqFGX6CrGHSFKMysmaDnb-ENqvqBY-KFNxbpvIfguFfO-S6Fvi74u3vKhwanZA46Vb6FYNd12aH1oj8USQhpCCZtidYwJ9vEaXdS-jXDzM6foY_G4nj_j1_enl_nsFVdciIQlU14Yq421pZesUqICX8OGgmJc1sKyqiQgQUrp6xKoMJwaXWqpLCdUbvgU3Y25h9B_DhCT2_VD6HKlYzb_abhi8l8V5Vwoq3LfFNFRVYU-xgC1O4Rm78PRUeJOeN2I12W87oTX2exhoydmbbeF8Jv8t-kbo6J78Q</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>Tellili, Adel</creator><creator>Abdelkrim, Nouceyba</creator><creator>Challouf, Amina</creator><creator>Abdelkrim, Mohamed-Naceur</creator><general>Institute of Automation, Chinese Academy of Sciences</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K7-</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><orcidid>https://orcid.org/0000-0002-2648-3798</orcidid></search><sort><creationdate>20181201</creationdate><title>Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems</title><author>Tellili, Adel ; Abdelkrim, Nouceyba ; Challouf, Amina ; Abdelkrim, Mohamed-Naceur</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-526a4897899ba52c64ceafed1e6235f492cb0e5e555afbe1483187b75693015d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Actuators</topic><topic>Adaptive control</topic><topic>Automation</topic><topic>CAE) and Design</topic><topic>Closed loops</topic><topic>Computer Applications</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Conditioning</topic><topic>Control</topic><topic>Control stability</topic><topic>Control theory</topic><topic>Controllers</topic><topic>Decomposition</topic><topic>Design</topic><topic>Engineering</topic><topic>Fault diagnosis</topic><topic>Fault tolerance</topic><topic>Mechatronics</topic><topic>Research Article</topic><topic>Robotics</topic><topic>Robust control</topic><topic>Robustness (mathematics)</topic><topic>Sensors</topic><topic>Singular perturbation methods</topic><topic>Stiffness</topic><topic>Subsystems</topic><topic>Systems stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tellili, Adel</creatorcontrib><creatorcontrib>Abdelkrim, Nouceyba</creatorcontrib><creatorcontrib>Challouf, Amina</creatorcontrib><creatorcontrib>Abdelkrim, Mohamed-Naceur</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>Computer Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>International journal of automation and computing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tellili, Adel</au><au>Abdelkrim, Nouceyba</au><au>Challouf, Amina</au><au>Abdelkrim, Mohamed-Naceur</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems</atitle><jtitle>International journal of automation and computing</jtitle><stitle>Int. J. Autom. Comput</stitle><date>2018-12-01</date><risdate>2018</risdate><volume>15</volume><issue>6</issue><spage>736</spage><epage>746</epage><pages>736-746</pages><issn>1476-8186</issn><issn>2153-182X</issn><eissn>1751-8520</eissn><eissn>2153-1838</eissn><abstract>This paper studies the fault tolerant control, adaptive approach, for linear time-invariant two-time-scale and three-time-scale singularly perturbed systems in presence of actuator faults and external disturbances. First, the full order system will be controlled using
ε
-dependent control law. The corresponding Lyapunov equation is ill-conditioned due to the presence of slow and fast phenomena. Secondly, a time-scale decomposition of the Lyapunov equation is carried out using singular perturbation method to avoid the numerical stiffness. A composite control law based on local controllers of the slow and fast subsystems is also used to make the control law
ε
-independent. The designed fault tolerant control guarantees the robust stability of the global closed-loop singularly perturbed system despite loss of effectiveness of actuators. The stability is proved based on the Lyapunov stability theory in the case where the singular perturbation parameter is sufficiently small. A numerical example is provided to illustrate the proposed method.</abstract><cop>Beijing</cop><pub>Institute of Automation, Chinese Academy of Sciences</pub><doi>10.1007/s11633-016-0971-9</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-2648-3798</orcidid></addata></record> |
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| subjects | Actuators Adaptive control Automation CAE) and Design Closed loops Computer Applications Computer-Aided Engineering (CAD Conditioning Control Control stability Control theory Controllers Decomposition Design Engineering Fault diagnosis Fault tolerance Mechatronics Research Article Robotics Robust control Robustness (mathematics) Sensors Singular perturbation methods Stiffness Subsystems Systems stability |
| title | Adaptive Fault Tolerant Control of Multi-time-scale Singularly Perturbed Systems |
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