{"id":"https://openalex.org/W1983720432","doi":"https://doi.org/10.1109/cdc.2011.6160630","title":"A partially augmented Lagrangian method for low order H-infinity controller synthesis using rational constraints","display_name":"A partially augmented Lagrangian method for low order H-infinity controller synthesis using rational constraints","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1983720432","doi":"https://doi.org/10.1109/cdc.2011.6160630","mag":"1983720432"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-67021","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069183839","display_name":"Daniel Ankelhed","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Daniel Ankelhed","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108633916","display_name":"Anders Helmersson","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Helmersson","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017570497","display_name":"Anders Hansson","orcid":"https://orcid.org/0000-0002-7934-6009"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Hansson","raw_affiliation_strings":["Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Division of Automatic Control, Department of Electrical Engineering, Link\u00f6ping University, Sweden#TAB#","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069183839"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":0.6567,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74743937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"8219","last_page":"8224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7625669240951538},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6854913234710693},{"id":"https://openalex.org/keywords/h-infinity-methods-in-control-theory","display_name":"H-infinity methods in control theory","score":0.6429926753044128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6100964546203613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5942845344543457},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5733959078788757},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5367921590805054},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5098780393600464},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46610769629478455},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4524097740650177},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.42398712038993835},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3624386191368103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28367459774017334},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16653451323509216}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7625669240951538},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6854913234710693},{"id":"https://openalex.org/C6727046","wikidata":"https://www.wikidata.org/wiki/Q1293742","display_name":"H-infinity methods in control theory","level":3,"score":0.6429926753044128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6100964546203613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5942845344543457},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5733959078788757},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5367921590805054},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5098780393600464},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46610769629478455},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4524097740650177},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.42398712038993835},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3624386191368103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28367459774017334},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16653451323509216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6160630","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:DiVA.org:liu-67021","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-67021","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:liu-67021","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-67021","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Report"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1509690466","https://openalex.org/W1669104078","https://openalex.org/W1964730816","https://openalex.org/W1966096622","https://openalex.org/W1968315580","https://openalex.org/W1997177885","https://openalex.org/W1999913571","https://openalex.org/W2012604200","https://openalex.org/W2037496793","https://openalex.org/W2039867272","https://openalex.org/W2042106612","https://openalex.org/W2058209380","https://openalex.org/W2072175279","https://openalex.org/W2079629485","https://openalex.org/W2101926728","https://openalex.org/W2104907862","https://openalex.org/W2122079221","https://openalex.org/W2128268899","https://openalex.org/W2128857230","https://openalex.org/W2132385139","https://openalex.org/W2152731556","https://openalex.org/W2173261491","https://openalex.org/W2182510773","https://openalex.org/W2252666654","https://openalex.org/W2536620281","https://openalex.org/W2957431808","https://openalex.org/W2993845287","https://openalex.org/W3029645440","https://openalex.org/W3216747129","https://openalex.org/W4235178178","https://openalex.org/W4301909677","https://openalex.org/W6630834306","https://openalex.org/W6675482198","https://openalex.org/W6678942212","https://openalex.org/W6679243618"],"related_works":["https://openalex.org/W3010226176","https://openalex.org/W2375797109","https://openalex.org/W2985721928","https://openalex.org/W47178663","https://openalex.org/W2387234294","https://openalex.org/W2082836196","https://openalex.org/W1492308995","https://openalex.org/W1964967499","https://openalex.org/W2064476774","https://openalex.org/W2025830612"],"abstract_inverted_index":{"When":[0],"designing":[1],"robust":[2],"controllers,":[3],"H-infinity":[4,117],"synthesis":[5],"is":[6,39,42,57,74,82,104,133,149,166],"a":[7,30,96,140],"common":[8],"tool":[9],"to":[10,60,106,125],"use.":[11],"The":[12,76,131,163,177],"controllers":[13],"that":[14,41,180],"result":[15],"from":[16,174],"these":[17],"algorithms":[18],"are":[19,159],"typically":[20],"of":[21,36,47,71,92,110,119],"very":[22,65],"high":[23],"order,":[24],"which":[25],"complicates":[26],"implementation.":[27],"However,":[28],"if":[29],"constraint":[31,87,103,148],"on":[32,84,88,115],"the":[33,37,45,48,51,69,72,86,89,93,107,116,120,146,152,157,175,181],"maximum":[34,90],"order":[35,46,70,91],"controller":[38,94],"set,":[40],"lower":[43],"than":[44],"(augmented)":[49],"system,":[50],"problem":[52,109,132,144],"becomes":[53],"nonconvex":[54],"and":[55],"it":[56,138],"relatively":[58],"hard":[59],"solve.":[61],"These":[62],"problems":[63],"become":[64],"complex,":[66],"even":[67],"when":[68],"system":[73,123],"low.":[75],"approach":[77],"used":[78],"in":[79,187],"this":[80],"work":[81],"based":[83],"formulating":[85],"as":[95,139,161],"polynomial":[97],"(or":[98],"rational)":[99],"equation.":[100],"This":[101],"equality":[102,147],"added":[105],"optimization":[108],"minimizing":[111],"an":[112],"upper":[113],"bound":[114],"norm":[118],"closed":[121],"loop":[122],"subject":[124],"linear":[126],"matrix":[127],"inequality":[128],"(LMI)":[129],"constraints.":[130,162],"then":[134],"solved":[135],"by":[136],"reformulating":[137],"partially":[141],"augmented":[142],"Lagrangian":[143],"where":[145,156],"put":[150],"into":[151],"objective":[153],"function,":[154],"but":[155],"LMIs":[158],"kept":[160],"proposed":[164,182],"method":[165,183],"evaluated":[167],"together":[168],"with":[169],"two":[170],"well":[171],"known":[172],"methods":[173],"literature.":[176],"results":[178],"indicate":[179],"has":[184],"comparable":[185],"performance":[186],"most":[188],"cases.":[189]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
