Semi-global stabilization of linear time-delay systems with control energy constraint
This note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the...
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| Veröffentlicht in: | Automatica (Oxford) 2012-04, Vol.48 (4), p.694-698 |
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| container_title | Automatica (Oxford) |
| container_volume | 48 |
| creator | Zhou, Bin Lin, Zongli Lam, James |
| description | This note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness. |
| doi_str_mv | 10.1016/j.automatica.2012.01.011 |
| format | Article |
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Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness.</description><identifier>ISSN: 0005-1098</identifier><identifier>EISSN: 1873-2836</identifier><identifier>DOI: 10.1016/j.automatica.2012.01.011</identifier><identifier>CODEN: ATCAA9</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>[formula omitted] low gain feedback ; Applied sciences ; Astronomy ; Celestial mechanics (including n-body problems) ; Computer science; control theory; systems ; Control system analysis ; Control systems ; Control theory. Systems ; Controllability ; Delay ; Earth, ocean, space ; Energy constraints ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Fundamental astronomy ; Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations ; Gain ; Linear systems ; Mathematical analysis ; Orbits ; Physics ; Semi-global stabilization ; Solid dynamics (ballistics, collision, multibody system, stabilization...) ; Solid mechanics ; Spacecraft ; Time-delay systems</subject><ispartof>Automatica (Oxford), 2012-04, Vol.48 (4), p.694-698</ispartof><rights>2012 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-c190f74d9f84bea2defb6713c944fc6d34da63e9d5e12c4e96d47fc18c3f68c43</citedby><cites>FETCH-LOGICAL-c381t-c190f74d9f84bea2defb6713c944fc6d34da63e9d5e12c4e96d47fc18c3f68c43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S000510981200026X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25697062$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Zhou, Bin</creatorcontrib><creatorcontrib>Lin, Zongli</creatorcontrib><creatorcontrib>Lam, James</creatorcontrib><title>Semi-global stabilization of linear time-delay systems with control energy constraint</title><title>Automatica (Oxford)</title><description>This note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness.</description><subject>[formula omitted] low gain feedback</subject><subject>Applied sciences</subject><subject>Astronomy</subject><subject>Celestial mechanics (including n-body problems)</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Controllability</subject><subject>Delay</subject><subject>Earth, ocean, space</subject><subject>Energy constraints</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Fundamental astronomy</subject><subject>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</subject><subject>Gain</subject><subject>Linear systems</subject><subject>Mathematical analysis</subject><subject>Orbits</subject><subject>Physics</subject><subject>Semi-global stabilization</subject><subject>Solid dynamics (ballistics, collision, multibody system, stabilization...)</subject><subject>Solid mechanics</subject><subject>Spacecraft</subject><subject>Time-delay systems</subject><issn>0005-1098</issn><issn>1873-2836</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkEFrGzEQhUVJoU7a_6BLoJd1NbuyVntMQ5MWAjm0OQt5NEpltKtUklvcX18Zh-YYeDA8-GYe8xjjINYgQH3are2-ptnWgHbdC-jXAprgDVuBHoeu14M6YyshxKYDMel37LyUXbMSdL9iD99pDt1jTFsbeal2G2L4246lhSfPY1jIZl7DTJ2jaA-8HEqlufA_of7kmJaaU-S0UH48HG2p2YalvmdvvY2FPjzPC_Zw8-XH9dfu7v722_XVXYeDhtohTMKP0k1eyy3Z3pHfqhEGnKT0qNwgnVUDTW5D0KOkSTk5egSNg1ca5XDBPp7uPuX0a0-lmjkUpBjtQmlfTGtoUlKCEA3VJxRzKiWTN085zDYfGnTklNmZlybNsUkjoAna6uVzii1oo892wVD-7_cbNY1C9Y37fOKovfw7UDYFAy1ILmTCalwKr4f9A4oIkMY</recordid><startdate>20120401</startdate><enddate>20120401</enddate><creator>Zhou, Bin</creator><creator>Lin, Zongli</creator><creator>Lam, James</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7SU</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20120401</creationdate><title>Semi-global stabilization of linear time-delay systems with control energy constraint</title><author>Zhou, Bin ; Lin, Zongli ; Lam, James</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-c190f74d9f84bea2defb6713c944fc6d34da63e9d5e12c4e96d47fc18c3f68c43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>[formula omitted] low gain feedback</topic><topic>Applied sciences</topic><topic>Astronomy</topic><topic>Celestial mechanics (including n-body problems)</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Controllability</topic><topic>Delay</topic><topic>Earth, ocean, space</topic><topic>Energy constraints</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Fundamental astronomy</topic><topic>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</topic><topic>Gain</topic><topic>Linear systems</topic><topic>Mathematical analysis</topic><topic>Orbits</topic><topic>Physics</topic><topic>Semi-global stabilization</topic><topic>Solid dynamics (ballistics, collision, multibody system, stabilization...)</topic><topic>Solid mechanics</topic><topic>Spacecraft</topic><topic>Time-delay systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhou, Bin</creatorcontrib><creatorcontrib>Lin, Zongli</creatorcontrib><creatorcontrib>Lam, James</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Environmental Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</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>Automatica (Oxford)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhou, Bin</au><au>Lin, Zongli</au><au>Lam, James</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Semi-global stabilization of linear time-delay systems with control energy constraint</atitle><jtitle>Automatica (Oxford)</jtitle><date>2012-04-01</date><risdate>2012</risdate><volume>48</volume><issue>4</issue><spage>694</spage><epage>698</epage><pages>694-698</pages><issn>0005-1098</issn><eissn>1873-2836</eissn><coden>ATCAA9</coden><abstract>This note is concerned with the problem of semi-globally stabilizing a linear system with an input delay and a constraint on the energy of its input. Under the condition of null controllability with vanishing energy, the parametric Lyapunov equation based L2 low gain feedback is adopted to solve the problem. The proposed approach is applied to the linearized model of the relative motion in the orbit plane of a spacecraft with respect to another spacecraft in a circular orbit around the Earth to validate its effectiveness.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.automatica.2012.01.011</doi><tpages>5</tpages></addata></record> |
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| ispartof | Automatica (Oxford), 2012-04, Vol.48 (4), p.694-698 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | [formula omitted] low gain feedback Applied sciences Astronomy Celestial mechanics (including n-body problems) Computer science control theory systems Control system analysis Control systems Control theory. Systems Controllability Delay Earth, ocean, space Energy constraints Exact sciences and technology Fundamental areas of phenomenology (including applications) Fundamental astronomy Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations Gain Linear systems Mathematical analysis Orbits Physics Semi-global stabilization Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics Spacecraft Time-delay systems |
| title | Semi-global stabilization of linear time-delay systems with control energy constraint |
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