On Inexact LPV Control Design of Continuous-Time Polytopic Systems

Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linea...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2008-08, Vol.53 (7), p.1674-1678
Main Authors: Daafouz, J., Bernussou, J., Geromel, J.C.
Format: Article
Language:English
Subjects:
Aerodynamics
Applied sciences
Computer science
control theory
systems
Control design
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Dynamic programming
Exact sciences and technology
Linear matrix inequalities
Linear matrix inequality (LMI)
linear parameter-varying (LPV) control design
Linear programming
Lyapunov method
Output feedback
Robust control
uncertain linear systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593
cites cdi_FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593
container_end_page 1678
container_issue 7
container_start_page 1674
container_title IEEE transactions on automatic control
container_volume 53
creator Daafouz, J.
Bernussou, J.
Geromel, J.C.
description Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linear matrix inequality (LMI) solvers in the case of polytopic parameter dependence. A bounded uncertainty set is defined from the difference between the measured and the true parameters from which LMI stabilization and performance conditions are obtained after bounding. As a desired property, the proposed conditions reduce to the classical LPV ones whenever the true parameters are available for control synthesis.
doi_str_mv 10.1109/TAC.2008.928119
format article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00323917v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>4623257</ieee_id><sourcerecordid>34438838</sourcerecordid><originalsourceid>FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593</originalsourceid><addsrcrecordid>eNp9kUGP0zAQhS0EEqVw5sAlQoIVh3THnjixj6UL7EqVdiUKV8txJuBVGnfjFNF_j0NWPXDgZHnmm6eZ9xh7zWHFOejL3XqzEgBqpYXiXD9hCy6lyoUU-JQtALjKU6d8zl7EeJ--ZVHwBft422c3Pf22bsy2d9-zTejHIXTZFUX_o89C-7fi-2M4xnzn95Tdhe40hoN32ddTHGkfX7Jnre0ivXp8l-zb50-7zXW-vf1ys1lvc1dwOebOUYO2qBvRNLJGgqYmLQQpja50rlaiUkIBaYRKSVFD2rEuBQpRF62TGpfsw6z703bmMPi9HU4mWG-u11sz1QBQoObVL57Yi5k9DOHhSHE0ex8ddZ3tKV1iNGCJoFEm8v1_SSwKVApVAt_-A96H49Cni40qUZaqSk4v2eUMuSHEOFB7XpSDmWIyKSYzxWTmmNLEu0dZG53t2sH2zsfzmIAyuQeT8puZ80R0bheTQbLCPxUGl7U</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>863568752</pqid></control><display><type>article</type><title>On Inexact LPV Control Design of Continuous-Time Polytopic Systems</title><source>IEEE Electronic Library (IEL) Journals</source><creator>Daafouz, J. ; Bernussou, J. ; Geromel, J.C.</creator><creatorcontrib>Daafouz, J. ; Bernussou, J. ; Geromel, J.C.</creatorcontrib><description>Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linear matrix inequality (LMI) solvers in the case of polytopic parameter dependence. A bounded uncertainty set is defined from the difference between the measured and the true parameters from which LMI stabilization and performance conditions are obtained after bounding. As a desired property, the proposed conditions reduce to the classical LPV ones whenever the true parameters are available for control synthesis.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.2008.928119</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Aerodynamics ; Applied sciences ; Computer science; control theory; systems ; Control design ; Control system analysis ; Control system synthesis ; Control systems ; Control theory. Systems ; Dynamic programming ; Exact sciences and technology ; Linear matrix inequalities ; Linear matrix inequality (LMI) ; linear parameter-varying (LPV) control design ; Linear programming ; Lyapunov method ; Output feedback ; Robust control ; uncertain linear systems</subject><ispartof>IEEE transactions on automatic control, 2008-08, Vol.53 (7), p.1674-1678</ispartof><rights>2008 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2008</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593</citedby><cites>FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593</cites><orcidid>0000-0001-8313-8790</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4623257$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,780,784,885,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=20641502$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00323917$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Daafouz, J.</creatorcontrib><creatorcontrib>Bernussou, J.</creatorcontrib><creatorcontrib>Geromel, J.C.</creatorcontrib><title>On Inexact LPV Control Design of Continuous-Time Polytopic Systems</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linear matrix inequality (LMI) solvers in the case of polytopic parameter dependence. A bounded uncertainty set is defined from the difference between the measured and the true parameters from which LMI stabilization and performance conditions are obtained after bounding. As a desired property, the proposed conditions reduce to the classical LPV ones whenever the true parameters are available for control synthesis.</description><subject>Aerodynamics</subject><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control design</subject><subject>Control system analysis</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Dynamic programming</subject><subject>Exact sciences and technology</subject><subject>Linear matrix inequalities</subject><subject>Linear matrix inequality (LMI)</subject><subject>linear parameter-varying (LPV) control design</subject><subject>Linear programming</subject><subject>Lyapunov method</subject><subject>Output feedback</subject><subject>Robust control</subject><subject>uncertain linear systems</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9kUGP0zAQhS0EEqVw5sAlQoIVh3THnjixj6UL7EqVdiUKV8txJuBVGnfjFNF_j0NWPXDgZHnmm6eZ9xh7zWHFOejL3XqzEgBqpYXiXD9hCy6lyoUU-JQtALjKU6d8zl7EeJ--ZVHwBft422c3Pf22bsy2d9-zTejHIXTZFUX_o89C-7fi-2M4xnzn95Tdhe40hoN32ddTHGkfX7Jnre0ivXp8l-zb50-7zXW-vf1ys1lvc1dwOebOUYO2qBvRNLJGgqYmLQQpja50rlaiUkIBaYRKSVFD2rEuBQpRF62TGpfsw6z703bmMPi9HU4mWG-u11sz1QBQoObVL57Yi5k9DOHhSHE0ex8ddZ3tKV1iNGCJoFEm8v1_SSwKVApVAt_-A96H49Cni40qUZaqSk4v2eUMuSHEOFB7XpSDmWIyKSYzxWTmmNLEu0dZG53t2sH2zsfzmIAyuQeT8puZ80R0bheTQbLCPxUGl7U</recordid><startdate>20080801</startdate><enddate>20080801</enddate><creator>Daafouz, J.</creator><creator>Bernussou, J.</creator><creator>Geromel, J.C.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</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><scope>F28</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0001-8313-8790</orcidid></search><sort><creationdate>20080801</creationdate><title>On Inexact LPV Control Design of Continuous-Time Polytopic Systems</title><author>Daafouz, J. ; Bernussou, J. ; Geromel, J.C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Aerodynamics</topic><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control design</topic><topic>Control system analysis</topic><topic>Control system synthesis</topic><topic>Control systems</topic><topic>Control theory. Systems</topic><topic>Dynamic programming</topic><topic>Exact sciences and technology</topic><topic>Linear matrix inequalities</topic><topic>Linear matrix inequality (LMI)</topic><topic>linear parameter-varying (LPV) control design</topic><topic>Linear programming</topic><topic>Lyapunov method</topic><topic>Output feedback</topic><topic>Robust control</topic><topic>uncertain linear systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Daafouz, J.</creatorcontrib><creatorcontrib>Bernussou, J.</creatorcontrib><creatorcontrib>Geromel, J.C.</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>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Mechanical &amp; 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><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Daafouz, J.</au><au>Bernussou, J.</au><au>Geromel, J.C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Inexact LPV Control Design of Continuous-Time Polytopic Systems</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>2008-08-01</date><risdate>2008</risdate><volume>53</volume><issue>7</issue><spage>1674</spage><epage>1678</epage><pages>1674-1678</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>Robust dynamic output design most often relies on nonconvex problems. This is precisely the case with linear parameter-varying (LPV) control when the measured varying parameters do not exactly fit the real ones. This paper provides a solution in the convex programming framework with the use of linear matrix inequality (LMI) solvers in the case of polytopic parameter dependence. A bounded uncertainty set is defined from the difference between the measured and the true parameters from which LMI stabilization and performance conditions are obtained after bounding. As a desired property, the proposed conditions reduce to the classical LPV ones whenever the true parameters are available for control synthesis.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAC.2008.928119</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-8313-8790</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0018-9286
ispartof IEEE transactions on automatic control, 2008-08, Vol.53 (7), p.1674-1678
issn 0018-9286
1558-2523
language eng
recordid cdi_hal_primary_oai_HAL_hal_00323917v1
source IEEE Electronic Library (IEL) Journals
subjects Aerodynamics
Applied sciences
Computer science
control theory
systems
Control design
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Dynamic programming
Exact sciences and technology
Linear matrix inequalities
Linear matrix inequality (LMI)
linear parameter-varying (LPV) control design
Linear programming
Lyapunov method
Output feedback
Robust control
uncertain linear systems
title On Inexact LPV Control Design of Continuous-Time Polytopic Systems
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T20%3A42%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20Inexact%20LPV%20Control%20Design%20of%20Continuous-Time%20Polytopic%20Systems&rft.jtitle=IEEE%20transactions%20on%20automatic%20control&rft.au=Daafouz,%20J.&rft.date=2008-08-01&rft.volume=53&rft.issue=7&rft.spage=1674&rft.epage=1678&rft.pages=1674-1678&rft.issn=0018-9286&rft.eissn=1558-2523&rft.coden=IETAA9&rft_id=info:doi/10.1109/TAC.2008.928119&rft_dat=%3Cproquest_hal_p%3E34438838%3C/proquest_hal_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c415t-cced3a4bd2dd5b3e0dbe922e893c6ccb8278280e9307852b0001b62322b4fc593%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=863568752&rft_id=info:pmid/&rft_ieee_id=4623257&rfr_iscdi=true