{"id":"https://openalex.org/W2148519880","doi":"https://doi.org/10.1109/cdc.2009.5399673","title":"Two degree of freedom robust optimal control design using a linear matrix inequality optimization","display_name":"Two degree of freedom robust optimal control design using a linear matrix inequality optimization","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2148519880","doi":"https://doi.org/10.1109/cdc.2009.5399673","mag":"2148519880"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5399673","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399673","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045341449","display_name":"Chibum Lee","orcid":"https://orcid.org/0000-0001-9749-9810"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chibum Lee","raw_affiliation_strings":["Department of Mechanical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051680600","display_name":"Srinivasa M. Salapaka","orcid":"https://orcid.org/0000-0002-3259-6027"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Srinivasa M. Salapaka","raw_affiliation_strings":["Department of Mechanical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Sciences and Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089726422","display_name":"Petros G. Voulgaris","orcid":"https://orcid.org/0000-0002-2965-3246"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Petros G. Voulgaris","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045341449"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":3.0617,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92226635,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":null,"first_page":"714","last_page":"719"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9980000257492065,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9954000115394592,"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/norm","display_name":"Norm (philosophy)","score":0.5846025943756104},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5726249814033508},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5641186237335205},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.526685357093811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5145906209945679},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5141756534576416},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4764863848686218},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.46963903307914734},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4508218765258789},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.415979266166687},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4122500717639923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.346774160861969},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33894991874694824},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2594124674797058},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15677708387374878},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07558244466781616},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06669941544532776}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5846025943756104},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5726249814033508},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5641186237335205},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.526685357093811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5145906209945679},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5141756534576416},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4764863848686218},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.46963903307914734},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4508218765258789},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.415979266166687},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4122500717639923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.346774160861969},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33894991874694824},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2594124674797058},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15677708387374878},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07558244466781616},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06669941544532776},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5399673","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5399673","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W73711222","https://openalex.org/W1526837334","https://openalex.org/W1583093193","https://openalex.org/W1589284831","https://openalex.org/W1600066860","https://openalex.org/W1838227914","https://openalex.org/W1868559974","https://openalex.org/W1887431197","https://openalex.org/W2048204703","https://openalex.org/W2056553150","https://openalex.org/W2058498585","https://openalex.org/W2065313971","https://openalex.org/W2089570407","https://openalex.org/W2115424783","https://openalex.org/W2121117794","https://openalex.org/W2131588967","https://openalex.org/W2137002893","https://openalex.org/W2154183166","https://openalex.org/W2162531705","https://openalex.org/W3210839039","https://openalex.org/W6664616958"],"related_works":["https://openalex.org/W2092752917","https://openalex.org/W2170907146","https://openalex.org/W2534056107","https://openalex.org/W1980427806","https://openalex.org/W252159519","https://openalex.org/W2139751416","https://openalex.org/W2121452670","https://openalex.org/W2401221107","https://openalex.org/W2357382084","https://openalex.org/W2017723746"],"abstract_inverted_index":{"This":[0,61],"paper":[1,27],"proposes":[2],"a":[3,14,50,65,93,97],"new":[4],"method":[5,44,62],"for":[6,10,49,67,92],"the":[7,88],"control":[8,20,34,90],"design":[9,91],"reference":[11],"tracking":[12,77,94],"in":[13,36],"two":[15],"degree-of-freedom":[16],"(2DOF)":[17],"robust":[18],"optimal":[19,33],"framework.":[21],"The":[22,42,79],"main":[23],"contribution":[24],"of":[25,30,38,53],"this":[26],"is":[28],"formulation":[29],"2DOF":[31,59],"multi-objective":[32],"problem":[35,95],"terms":[37],"linear":[39],"matrix":[40],"inequalities.":[41],"proposed":[43,89],"enables":[45],"formulating":[46],"and":[47],"solving":[48],"larger":[51],"set":[52],"performance":[54],"specifications":[55],"than":[56],"existing":[57],"conventional":[58],"designs.":[60],"also":[63],"provides":[64],"platform":[66],"implementing":[68],"mixed-norm":[69],"optimizamixed-norm":[70],"optimization":[71],"problemstion":[72],"problems":[73],"that":[74,86],"model":[75],"many":[76],"applications.":[78],"theoretical":[80],"results":[81],"are":[82],"corroborated":[83],"by":[84],"experiments":[85],"apply":[87],"on":[96],"positioning":[98],"system.":[99]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}