Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory

This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbanc...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 1986-08, Vol.31 (8), p.744-750
Main Authors: Desoer, C., Gundes, A.N.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Constraint theory
Control system synthesis
Control theory. Systems
Costs
Design methodology
Exact sciences and technology
Feedback loop
Linearity
MIMO
Output feedback
Stability
State feedback
Sufficient conditions
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-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3
cites cdi_FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3
container_end_page 750
container_issue 8
container_start_page 744
container_title IEEE transactions on automatic control
container_volume 31
creator Desoer, C.
Gundes, A.N.
description This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbance-to-output (D/O) maps achievable by a stabilizing compensator for a given plant. It is shown that this method has two degrees of freedom: any achievable diagonal I/O map and any achievable D/O map can be realized simultaneously by a choice of an appropriate compensator. The difference between all achievable diagonal and nondiagonal I/O maps and the "cost" of decoupling is discussed for some particular algebraic settings.
doi_str_mv 10.1109/TAC.1986.1104391
format article
fullrecord <record><control><sourceid>proquest_pasca</sourceid><recordid>TN_cdi_pascalfrancis_primary_8083348</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>1104391</ieee_id><sourcerecordid>24020143</sourcerecordid><originalsourceid>FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3</originalsourceid><addsrcrecordid>eNqNkbtPwzAQxi0EEqWwI7FkQGwpfiWx2arylCqxlNly3Esx5IWdDPnvcZQIRlju4fvdp7M-hC4JXhGC5e1uvVkRKdKx40ySI7QgSSJimlB2jBYYExFLKtJTdOb9R2hTzskCqXswTd-Wtj5EIYB2UdWXnbV123dT2fTdWLelrjsf5UO0H2pdWRPNgwJgn2vzeRet60iXB8idDtPuHRo3nKOTQpceLua8RG-PD7vNc7x9fXrZrLexYYJ1MXDD94SaAoQEinFWUGCyKHBGJYOM6twIHJ5SLpnRkueapExkuUgTzDEzbIluJt3WNV89-E5V1hsow9HQ9F5RIcKHJf8HSDlOqPgb5JhiwlkA8QQa13jvoFCts5V2gyJYjd6o4I0avVGzN2HletbW3uiycLo21v_sCSwY4-MJVxNmAeBXdRb5Bt_8l6w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>24020143</pqid></control><display><type>article</type><title>Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory</title><source>IEEE Xplore (Online service)</source><creator>Desoer, C. ; Gundes, A.N.</creator><creatorcontrib>Desoer, C. ; Gundes, A.N.</creatorcontrib><description>This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbance-to-output (D/O) maps achievable by a stabilizing compensator for a given plant. It is shown that this method has two degrees of freedom: any achievable diagonal I/O map and any achievable D/O map can be realized simultaneously by a choice of an appropriate compensator. The difference between all achievable diagonal and nondiagonal I/O maps and the "cost" of decoupling is discussed for some particular algebraic settings.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.1986.1104391</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Computer science; control theory; systems ; Constraint theory ; Control system synthesis ; Control theory. Systems ; Costs ; Design methodology ; Exact sciences and technology ; Feedback loop ; Linearity ; MIMO ; Output feedback ; Stability ; State feedback ; Sufficient conditions</subject><ispartof>IEEE transactions on automatic control, 1986-08, Vol.31 (8), p.744-750</ispartof><rights>1987 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3</citedby><cites>FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1104391$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=8083348$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Desoer, C.</creatorcontrib><creatorcontrib>Gundes, A.N.</creatorcontrib><title>Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbance-to-output (D/O) maps achievable by a stabilizing compensator for a given plant. It is shown that this method has two degrees of freedom: any achievable diagonal I/O map and any achievable D/O map can be realized simultaneously by a choice of an appropriate compensator. The difference between all achievable diagonal and nondiagonal I/O maps and the "cost" of decoupling is discussed for some particular algebraic settings.</description><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Constraint theory</subject><subject>Control system synthesis</subject><subject>Control theory. Systems</subject><subject>Costs</subject><subject>Design methodology</subject><subject>Exact sciences and technology</subject><subject>Feedback loop</subject><subject>Linearity</subject><subject>MIMO</subject><subject>Output feedback</subject><subject>Stability</subject><subject>State feedback</subject><subject>Sufficient conditions</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1986</creationdate><recordtype>article</recordtype><recordid>eNqNkbtPwzAQxi0EEqWwI7FkQGwpfiWx2arylCqxlNly3Esx5IWdDPnvcZQIRlju4fvdp7M-hC4JXhGC5e1uvVkRKdKx40ySI7QgSSJimlB2jBYYExFLKtJTdOb9R2hTzskCqXswTd-Wtj5EIYB2UdWXnbV123dT2fTdWLelrjsf5UO0H2pdWRPNgwJgn2vzeRet60iXB8idDtPuHRo3nKOTQpceLua8RG-PD7vNc7x9fXrZrLexYYJ1MXDD94SaAoQEinFWUGCyKHBGJYOM6twIHJ5SLpnRkueapExkuUgTzDEzbIluJt3WNV89-E5V1hsow9HQ9F5RIcKHJf8HSDlOqPgb5JhiwlkA8QQa13jvoFCts5V2gyJYjd6o4I0avVGzN2HletbW3uiycLo21v_sCSwY4-MJVxNmAeBXdRb5Bt_8l6w</recordid><startdate>19860801</startdate><enddate>19860801</enddate><creator>Desoer, C.</creator><creator>Gundes, A.N.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>FR3</scope><scope>JQ2</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19860801</creationdate><title>Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory</title><author>Desoer, C. ; Gundes, A.N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1986</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Constraint theory</topic><topic>Control system synthesis</topic><topic>Control theory. Systems</topic><topic>Costs</topic><topic>Design methodology</topic><topic>Exact sciences and technology</topic><topic>Feedback loop</topic><topic>Linearity</topic><topic>MIMO</topic><topic>Output feedback</topic><topic>Stability</topic><topic>State feedback</topic><topic>Sufficient conditions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Desoer, C.</creatorcontrib><creatorcontrib>Gundes, A.N.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Desoer, C.</au><au>Gundes, A.N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>1986-08-01</date><risdate>1986</risdate><volume>31</volume><issue>8</issue><spage>744</spage><epage>750</epage><pages>744-750</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbance-to-output (D/O) maps achievable by a stabilizing compensator for a given plant. It is shown that this method has two degrees of freedom: any achievable diagonal I/O map and any achievable D/O map can be realized simultaneously by a choice of an appropriate compensator. The difference between all achievable diagonal and nondiagonal I/O maps and the "cost" of decoupling is discussed for some particular algebraic settings.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TAC.1986.1104391</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0018-9286
ispartof IEEE transactions on automatic control, 1986-08, Vol.31 (8), p.744-750
issn 0018-9286
1558-2523
language eng
recordid cdi_pascalfrancis_primary_8083348
source IEEE Xplore (Online service)
subjects Applied sciences
Computer science
control theory
systems
Constraint theory
Control system synthesis
Control theory. Systems
Costs
Design methodology
Exact sciences and technology
Feedback loop
Linearity
MIMO
Output feedback
Stability
State feedback
Sufficient conditions
title Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T20%3A05%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pasca&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Decoupling%20linear%20multiinput%20multioutput%20plants%20by%20dynamic%20output%20feedback:%20An%20algebraic%20theory&rft.jtitle=IEEE%20transactions%20on%20automatic%20control&rft.au=Desoer,%20C.&rft.date=1986-08-01&rft.volume=31&rft.issue=8&rft.spage=744&rft.epage=750&rft.pages=744-750&rft.issn=0018-9286&rft.eissn=1558-2523&rft.coden=IETAA9&rft_id=info:doi/10.1109/TAC.1986.1104391&rft_dat=%3Cproquest_pasca%3E24020143%3C/proquest_pasca%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c383t-e4c4d12cfe89e2007f2e39ff07293e72abc802e36493ca94ba16387b8650403c3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=24020143&rft_id=info:pmid/&rft_ieee_id=1104391&rfr_iscdi=true