Stabilization of linear systems with sector bounded nonlinearities at the input and output
In this paper we propose a general quadratic dissipativity output feedback control method to solve a robust stabilization problem for linear systems with sector bounded type nonlinearities at the input and output. The problem includes the one of achieving specified gain and phase stability margins a...
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creator | Yuliar, S. James, M.R. |
description | In this paper we propose a general quadratic dissipativity output feedback control method to solve a robust stabilization problem for linear systems with sector bounded type nonlinearities at the input and output. The problem includes the one of achieving specified gain and phase stability margins as a special case. We pose the problem as one of finding a controller for a new, related linear system such that the closed loop system is dissipative with respect to a specifically chosen quadratic supply rate. We employ the information method to derive the desired controller. Stability results are obtained using the Lyapunov methods. We provide an example to demonstrate the utility of the proposed control method. |
doi_str_mv | 10.1109/CDC.1996.577648 |
format | Conference Proceeding |
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We provide an example to demonstrate the utility of the proposed control method.</description><identifier>ISSN: 0191-2216</identifier><identifier>ISBN: 9780780335905</identifier><identifier>ISBN: 0780335902</identifier><identifier>DOI: 10.1109/CDC.1996.577648</identifier><language>eng</language><publisher>IEEE</publisher><subject>Closed loop systems ; Control nonlinearities ; Control systems ; Linear feedback control systems ; Linear systems ; Lyapunov method ; Nonlinear control systems ; Output feedback ; Robust control ; Stability</subject><ispartof>Proceedings of 35th IEEE Conference on Decision and Control, 1996, Vol.4, p.4759-4764 vol.4</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/577648$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,777,781,786,787,2052,4036,4037,27906,54901</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/577648$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yuliar, S.</creatorcontrib><creatorcontrib>James, M.R.</creatorcontrib><title>Stabilization of linear systems with sector bounded nonlinearities at the input and output</title><title>Proceedings of 35th IEEE Conference on Decision and Control</title><addtitle>CDC</addtitle><description>In this paper we propose a general quadratic dissipativity output feedback control method to solve a robust stabilization problem for linear systems with sector bounded type nonlinearities at the input and output. The problem includes the one of achieving specified gain and phase stability margins as a special case. We pose the problem as one of finding a controller for a new, related linear system such that the closed loop system is dissipative with respect to a specifically chosen quadratic supply rate. We employ the information method to derive the desired controller. Stability results are obtained using the Lyapunov methods. We provide an example to demonstrate the utility of the proposed control method.</description><subject>Closed loop systems</subject><subject>Control nonlinearities</subject><subject>Control systems</subject><subject>Linear feedback control systems</subject><subject>Linear systems</subject><subject>Lyapunov method</subject><subject>Nonlinear control systems</subject><subject>Output feedback</subject><subject>Robust control</subject><subject>Stability</subject><issn>0191-2216</issn><isbn>9780780335905</isbn><isbn>0780335902</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1996</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkE1LAzEYhAMqWGvPgqf3D2zNR_N1lPUTCh7Ui5eS3byhkW22bLJI_fUurDAww_AwhyHkhtE1Y9Te1Q_1mlmr1lJrtTFnZGW1oZOEkJbKc7KgzLKKc6YuyVXO35RSQ5VakK_34prYxV9XYp-gD9DFhG6AfMoFDxl-YtlDxrb0AzT9mDx6SH2aqVgiZnAFyh4hpuNYwCUP_VimeE0ugusyrv59ST6fHj_ql2r79vxa32-ryDQvlZKeM2kkp15xh5tWKOExhEYoqWwIlItGG--mwvEJQ6ukbp30DQZhDIoluZ13IyLujkM8uOG0m58QfwKCU9A</recordid><startdate>1996</startdate><enddate>1996</enddate><creator>Yuliar, S.</creator><creator>James, M.R.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1996</creationdate><title>Stabilization of linear systems with sector bounded nonlinearities at the input and output</title><author>Yuliar, S. ; James, M.R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i172t-65d2158520d62ae4c363deffb36569ff023b78dafb3a2852e9657ca5dbef388e3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Closed loop systems</topic><topic>Control nonlinearities</topic><topic>Control systems</topic><topic>Linear feedback control systems</topic><topic>Linear systems</topic><topic>Lyapunov method</topic><topic>Nonlinear control systems</topic><topic>Output feedback</topic><topic>Robust control</topic><topic>Stability</topic><toplevel>online_resources</toplevel><creatorcontrib>Yuliar, S.</creatorcontrib><creatorcontrib>James, M.R.</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/IET 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>Yuliar, S.</au><au>James, M.R.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Stabilization of linear systems with sector bounded nonlinearities at the input and output</atitle><btitle>Proceedings of 35th IEEE Conference on Decision and Control</btitle><stitle>CDC</stitle><date>1996</date><risdate>1996</risdate><volume>4</volume><spage>4759</spage><epage>4764 vol.4</epage><pages>4759-4764 vol.4</pages><issn>0191-2216</issn><isbn>9780780335905</isbn><isbn>0780335902</isbn><abstract>In this paper we propose a general quadratic dissipativity output feedback control method to solve a robust stabilization problem for linear systems with sector bounded type nonlinearities at the input and output. The problem includes the one of achieving specified gain and phase stability margins as a special case. We pose the problem as one of finding a controller for a new, related linear system such that the closed loop system is dissipative with respect to a specifically chosen quadratic supply rate. We employ the information method to derive the desired controller. Stability results are obtained using the Lyapunov methods. We provide an example to demonstrate the utility of the proposed control method.</abstract><pub>IEEE</pub><doi>10.1109/CDC.1996.577648</doi></addata></record> |
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identifier | ISSN: 0191-2216 |
ispartof | Proceedings of 35th IEEE Conference on Decision and Control, 1996, Vol.4, p.4759-4764 vol.4 |
issn | 0191-2216 |
language | eng |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Closed loop systems Control nonlinearities Control systems Linear feedback control systems Linear systems Lyapunov method Nonlinear control systems Output feedback Robust control Stability |
title | Stabilization of linear systems with sector bounded nonlinearities at the input and output |
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