Low order nonlinear controllers for the rejection of persistent bounded disturbances
The l/sub 1/-optimal linear time-invariant (LTI) compensator may have an order significantly higher than that of the plant. Here the authors consider the square discrete time multivariable setting in which T/sub 3//sup -1/ is stable, and show, under a technical assumption, that there always exists a...
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creator | Lucic, V.M. Miller, D.E. |
description | The l/sub 1/-optimal linear time-invariant (LTI) compensator may have an order significantly higher than that of the plant. Here the authors consider the square discrete time multivariable setting in which T/sub 3//sup -1/ is stable, and show, under a technical assumption, that there always exists a low order nonlinear stabilizing controller which provides the same level of performance as a given LTI stabilizing controller. Furthermore, for the scalar case the authors present an algorithm which can be used to compute the optimal performance which can be achieved by a nonlinear time-varying stabilizing controller. |
doi_str_mv | 10.1109/CDC.1995.480289 |
format | Conference Proceeding |
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Here the authors consider the square discrete time multivariable setting in which T/sub 3//sup -1/ is stable, and show, under a technical assumption, that there always exists a low order nonlinear stabilizing controller which provides the same level of performance as a given LTI stabilizing controller. Furthermore, for the scalar case the authors present an algorithm which can be used to compute the optimal performance which can be achieved by a nonlinear time-varying stabilizing controller.</description><identifier>ISSN: 0191-2216</identifier><identifier>ISBN: 0780326857</identifier><identifier>ISBN: 9780780326859</identifier><identifier>DOI: 10.1109/CDC.1995.480289</identifier><language>eng</language><publisher>IEEE Control Systems Society</publisher><subject>Councils ; H infinity control ; Mathematics ; Optimal control ; Output feedback ; Proportional control ; State feedback ; Transfer functions</subject><ispartof>Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995, Vol.2, p.1358-1363 vol.2</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/480289$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2051,4035,4036,27904,54898</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/480289$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Lucic, V.M.</creatorcontrib><creatorcontrib>Miller, D.E.</creatorcontrib><title>Low order nonlinear controllers for the rejection of persistent bounded disturbances</title><title>Proceedings of 1995 34th IEEE Conference on Decision and Control</title><addtitle>CDC</addtitle><description>The l/sub 1/-optimal linear time-invariant (LTI) compensator may have an order significantly higher than that of the plant. Here the authors consider the square discrete time multivariable setting in which T/sub 3//sup -1/ is stable, and show, under a technical assumption, that there always exists a low order nonlinear stabilizing controller which provides the same level of performance as a given LTI stabilizing controller. Furthermore, for the scalar case the authors present an algorithm which can be used to compute the optimal performance which can be achieved by a nonlinear time-varying stabilizing controller.</description><subject>Councils</subject><subject>H infinity control</subject><subject>Mathematics</subject><subject>Optimal control</subject><subject>Output feedback</subject><subject>Proportional control</subject><subject>State feedback</subject><subject>Transfer functions</subject><issn>0191-2216</issn><isbn>0780326857</isbn><isbn>9780780326859</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1995</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkM1KAzEYRQMq2FbXgqu8wNQv_8lSxl8YcFPXZSb5BqeMSUlSxLd3oMKFy-HAXVxC7hhsGQP30D61W-ac2koL3LoLsgZjQXBtlbkkK2CONZwzfU3WpRwAwILWK7Lr0g9NOWCmMcV5ithn6lOsOc0z5kLHlGn9QprxgL5OKdI00uNiplIxVjqkUwwYaFj4lIc-eiw35Grs54K3_70hny_Pu_at6T5e39vHrpmY4bVB1fslzjOruBJuRMUlBAa4MAtSaSkG6bx3yPXAlDBahtEPoBGE8UZsyP15d0LE_TFP333-3Z8PEH_sulAq</recordid><startdate>1995</startdate><enddate>1995</enddate><creator>Lucic, V.M.</creator><creator>Miller, D.E.</creator><general>IEEE Control Systems Society</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1995</creationdate><title>Low order nonlinear controllers for the rejection of persistent bounded disturbances</title><author>Lucic, V.M. ; Miller, D.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i172t-e5ac5ac9c1852539fe5240d10e8521d45643b49cc9e26b153764dfcb06e037c73</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Councils</topic><topic>H infinity control</topic><topic>Mathematics</topic><topic>Optimal control</topic><topic>Output feedback</topic><topic>Proportional control</topic><topic>State feedback</topic><topic>Transfer functions</topic><toplevel>online_resources</toplevel><creatorcontrib>Lucic, V.M.</creatorcontrib><creatorcontrib>Miller, D.E.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lucic, V.M.</au><au>Miller, D.E.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Low order nonlinear controllers for the rejection of persistent bounded disturbances</atitle><btitle>Proceedings of 1995 34th IEEE Conference on Decision and Control</btitle><stitle>CDC</stitle><date>1995</date><risdate>1995</risdate><volume>2</volume><spage>1358</spage><epage>1363 vol.2</epage><pages>1358-1363 vol.2</pages><issn>0191-2216</issn><isbn>0780326857</isbn><isbn>9780780326859</isbn><abstract>The l/sub 1/-optimal linear time-invariant (LTI) compensator may have an order significantly higher than that of the plant. Here the authors consider the square discrete time multivariable setting in which T/sub 3//sup -1/ is stable, and show, under a technical assumption, that there always exists a low order nonlinear stabilizing controller which provides the same level of performance as a given LTI stabilizing controller. Furthermore, for the scalar case the authors present an algorithm which can be used to compute the optimal performance which can be achieved by a nonlinear time-varying stabilizing controller.</abstract><pub>IEEE Control Systems Society</pub><doi>10.1109/CDC.1995.480289</doi></addata></record> |
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identifier | ISSN: 0191-2216 |
ispartof | Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995, Vol.2, p.1358-1363 vol.2 |
issn | 0191-2216 |
language | eng |
recordid | cdi_ieee_primary_480289 |
source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Councils H infinity control Mathematics Optimal control Output feedback Proportional control State feedback Transfer functions |
title | Low order nonlinear controllers for the rejection of persistent bounded disturbances |
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