Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices
This paper presents new convex optimization procedures for full order robust [inline image] and [inline image] filter design for continuous and discrete-time uncertain linear systems. The time-invariant uncertain parameters are supposed to belong to a polytope with known vertices. Thanks to the use...
Gespeichert in:
Veröffentlicht in: | Signal processing 2011-05, Vol.91 (5), p.1115-1122 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 1122 |
---|---|
container_issue | 5 |
container_start_page | 1115 |
container_title | Signal processing |
container_volume | 91 |
creator | Lacerda, Marcio J Oliveira, Ricardo CLF Peres, Pedro LD |
description | This paper presents new convex optimization procedures for full order robust [inline image] and [inline image] filter design for continuous and discrete-time uncertain linear systems. The time-invariant uncertain parameters are supposed to belong to a polytope with known vertices. Thanks to the use of a larger number of slack variables, linear matrix inequalities for the design of robust filters can be derived from the proposed conditions, outperforming the existing methods. The superiority and efficiency of the proposed method for filter design are illustrated by means of numerical comparisons in benchmark examples from the literature. |
doi_str_mv | 10.1016/j.sigpro.2010.10.013 |
format | Article |
fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_miscellaneous_861564734</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>861564734</sourcerecordid><originalsourceid>FETCH-proquest_miscellaneous_8615647343</originalsourceid><addsrcrecordid>eNqNjj1rAkEURadQiDH5Bylel8p1xl0n9iHBgDaSLgR5rm_lyXzovNmA_96NWFlZXTj3cLlKvRhdGG3seF8I7w4pFhN9QYU2ZU8Numo6MnZWPahHkb3WHbZ6oPIqblrJ8MPBcSBgjzv6BQzbW9Swy5RgS91-gCYmaENNKSMH-PcwgZwkkxf4Y4TF8ksuM4foTiF6Rgcec-Ka5En1G3RCz9ccqtfPj-_3-aj7fWxJ8tqz1OQcBoqtrGfWTG31Vlbl_eYZYcZWow</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>861564734</pqid></control><display><type>article</type><title>Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices</title><source>Elsevier ScienceDirect Journals</source><creator>Lacerda, Marcio J ; Oliveira, Ricardo CLF ; Peres, Pedro LD</creator><creatorcontrib>Lacerda, Marcio J ; Oliveira, Ricardo CLF ; Peres, Pedro LD</creatorcontrib><description>This paper presents new convex optimization procedures for full order robust [inline image] and [inline image] filter design for continuous and discrete-time uncertain linear systems. The time-invariant uncertain parameters are supposed to belong to a polytope with known vertices. Thanks to the use of a larger number of slack variables, linear matrix inequalities for the design of robust filters can be derived from the proposed conditions, outperforming the existing methods. The superiority and efficiency of the proposed method for filter design are illustrated by means of numerical comparisons in benchmark examples from the literature.</description><identifier>ISSN: 0165-1684</identifier><identifier>DOI: 10.1016/j.sigpro.2010.10.013</identifier><language>eng</language><subject>Benchmarking ; Design engineering ; Linear systems ; Mathematical analysis ; Mathematical models ; Optimization ; Polynomial matrices</subject><ispartof>Signal processing, 2011-05, Vol.91 (5), p.1115-1122</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Lacerda, Marcio J</creatorcontrib><creatorcontrib>Oliveira, Ricardo CLF</creatorcontrib><creatorcontrib>Peres, Pedro LD</creatorcontrib><title>Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices</title><title>Signal processing</title><description>This paper presents new convex optimization procedures for full order robust [inline image] and [inline image] filter design for continuous and discrete-time uncertain linear systems. The time-invariant uncertain parameters are supposed to belong to a polytope with known vertices. Thanks to the use of a larger number of slack variables, linear matrix inequalities for the design of robust filters can be derived from the proposed conditions, outperforming the existing methods. The superiority and efficiency of the proposed method for filter design are illustrated by means of numerical comparisons in benchmark examples from the literature.</description><subject>Benchmarking</subject><subject>Design engineering</subject><subject>Linear systems</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Optimization</subject><subject>Polynomial matrices</subject><issn>0165-1684</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNjj1rAkEURadQiDH5Bylel8p1xl0n9iHBgDaSLgR5rm_lyXzovNmA_96NWFlZXTj3cLlKvRhdGG3seF8I7w4pFhN9QYU2ZU8Numo6MnZWPahHkb3WHbZ6oPIqblrJ8MPBcSBgjzv6BQzbW9Swy5RgS91-gCYmaENNKSMH-PcwgZwkkxf4Y4TF8ksuM4foTiF6Rgcec-Ka5En1G3RCz9ccqtfPj-_3-aj7fWxJ8tqz1OQcBoqtrGfWTG31Vlbl_eYZYcZWow</recordid><startdate>20110501</startdate><enddate>20110501</enddate><creator>Lacerda, Marcio J</creator><creator>Oliveira, Ricardo CLF</creator><creator>Peres, Pedro LD</creator><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20110501</creationdate><title>Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices</title><author>Lacerda, Marcio J ; Oliveira, Ricardo CLF ; Peres, Pedro LD</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_miscellaneous_8615647343</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Benchmarking</topic><topic>Design engineering</topic><topic>Linear systems</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Optimization</topic><topic>Polynomial matrices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lacerda, Marcio J</creatorcontrib><creatorcontrib>Oliveira, Ricardo CLF</creatorcontrib><creatorcontrib>Peres, Pedro LD</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology 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>Signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lacerda, Marcio J</au><au>Oliveira, Ricardo CLF</au><au>Peres, Pedro LD</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices</atitle><jtitle>Signal processing</jtitle><date>2011-05-01</date><risdate>2011</risdate><volume>91</volume><issue>5</issue><spage>1115</spage><epage>1122</epage><pages>1115-1122</pages><issn>0165-1684</issn><abstract>This paper presents new convex optimization procedures for full order robust [inline image] and [inline image] filter design for continuous and discrete-time uncertain linear systems. The time-invariant uncertain parameters are supposed to belong to a polytope with known vertices. Thanks to the use of a larger number of slack variables, linear matrix inequalities for the design of robust filters can be derived from the proposed conditions, outperforming the existing methods. The superiority and efficiency of the proposed method for filter design are illustrated by means of numerical comparisons in benchmark examples from the literature.</abstract><doi>10.1016/j.sigpro.2010.10.013</doi></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0165-1684 |
ispartof | Signal processing, 2011-05, Vol.91 (5), p.1115-1122 |
issn | 0165-1684 |
language | eng |
recordid | cdi_proquest_miscellaneous_861564734 |
source | Elsevier ScienceDirect Journals |
subjects | Benchmarking Design engineering Linear systems Mathematical analysis Mathematical models Optimization Polynomial matrices |
title | Robust [inline image] and [inline image] filter design for uncertain linear systems via LMIs and polynomial matrices |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T12%3A14%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Robust%20%5Binline%20image%5D%20and%20%5Binline%20image%5D%20filter%20design%20for%20uncertain%20linear%20systems%20via%20LMIs%20and%20polynomial%20matrices&rft.jtitle=Signal%20processing&rft.au=Lacerda,%20Marcio%20J&rft.date=2011-05-01&rft.volume=91&rft.issue=5&rft.spage=1115&rft.epage=1122&rft.pages=1115-1122&rft.issn=0165-1684&rft_id=info:doi/10.1016/j.sigpro.2010.10.013&rft_dat=%3Cproquest%3E861564734%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=861564734&rft_id=info:pmid/&rfr_iscdi=true |