{"id":"https://openalex.org/W4392408451","doi":"https://doi.org/10.1109/icsc58660.2023.10449861","title":"Design of Robust Output Feedback Controllers for Discrete-Time Systems with Polynomial Uncertainties","display_name":"Design of Robust Output Feedback Controllers for Discrete-Time Systems with Polynomial Uncertainties","publication_year":2023,"publication_date":"2023-12-18","ids":{"openalex":"https://openalex.org/W4392408451","doi":"https://doi.org/10.1109/icsc58660.2023.10449861"},"language":"en","primary_location":{"id":"doi:10.1109/icsc58660.2023.10449861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsc58660.2023.10449861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 11th International Conference on Systems and Control (ICSC)","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/A5076349360","display_name":"Robert Dehnert","orcid":"https://orcid.org/0000-0002-0959-9035"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Dehnert","raw_affiliation_strings":["Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119"],"raw_orcid":"https://orcid.org/0000-0002-0959-9035","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030022760","display_name":"Sabine Lerch","orcid":"https://orcid.org/0000-0002-8305-6901"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sabine Lerch","raw_affiliation_strings":["Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119"],"raw_orcid":"https://orcid.org/0000-0002-8305-6901","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069377451","display_name":"Michelle Rosik","orcid":"https://orcid.org/0009-0005-7296-1569"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michelle Rosik","raw_affiliation_strings":["Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119"],"raw_orcid":"https://orcid.org/0009-0005-7296-1569","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088498976","display_name":"Andreas Rauh","orcid":"https://orcid.org/0000-0002-1548-6547"},"institutions":[{"id":"https://openalex.org/I129877168","display_name":"Carl von Ossietzky Universit\u00e4t Oldenburg","ror":"https://ror.org/033n9gh91","country_code":"DE","type":"education","lineage":["https://openalex.org/I129877168"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Rauh","raw_affiliation_strings":["Carl von Ossietzky Universit&#x00E4;t Oldenburg,Group: Distributed Control in Interconnected Systems,Oldenburg,Germany,D-26111"],"raw_orcid":"https://orcid.org/0000-0002-1548-6547","affiliations":[{"raw_affiliation_string":"Carl von Ossietzky Universit&#x00E4;t Oldenburg,Group: Distributed Control in Interconnected Systems,Oldenburg,Germany,D-26111","institution_ids":["https://openalex.org/I129877168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088168487","display_name":"Bernd Tibken","orcid":"https://orcid.org/0000-0002-4639-1487"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Tibken","raw_affiliation_strings":["Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119"],"raw_orcid":"https://orcid.org/0000-0002-4639-1487","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, School of Electrical, Information and Media Engineering, University of Wuppertal,Wuppertal,Germany,D-42119","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3271,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60249716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"774","last_page":"781"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9404000043869019,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9404000043869019,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9388999938964844,"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/control-theory","display_name":"Control theory (sociology)","score":0.7277005910873413},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.7081443667411804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6007044911384583},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5516051054000854},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4968161880970001},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.48394182324409485},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.47190600633621216},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4216892719268799},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3762611448764801},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.33628955483436584},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29994118213653564},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27224820852279663},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13329553604125977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0969802737236023},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06718668341636658}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7277005910873413},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.7081443667411804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6007044911384583},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5516051054000854},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4968161880970001},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.48394182324409485},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.47190600633621216},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4216892719268799},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3762611448764801},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.33628955483436584},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29994118213653564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27224820852279663},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13329553604125977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0969802737236023},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06718668341636658},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsc58660.2023.10449861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsc58660.2023.10449861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 11th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1561560157","https://openalex.org/W2026963557","https://openalex.org/W2035833389","https://openalex.org/W2038230325","https://openalex.org/W2051683906","https://openalex.org/W2065548314","https://openalex.org/W2119297310","https://openalex.org/W2119811431","https://openalex.org/W2121955556","https://openalex.org/W2133404041","https://openalex.org/W2140296216","https://openalex.org/W2167094764","https://openalex.org/W2536620281","https://openalex.org/W2968813711","https://openalex.org/W3013635670","https://openalex.org/W3216059512","https://openalex.org/W4210919947","https://openalex.org/W4251229830","https://openalex.org/W4313490444","https://openalex.org/W4313490550","https://openalex.org/W6633492072"],"related_works":["https://openalex.org/W2378126235","https://openalex.org/W2151481036","https://openalex.org/W2334516743","https://openalex.org/W23127201","https://openalex.org/W2486306719","https://openalex.org/W1505280828","https://openalex.org/W2106487132","https://openalex.org/W2369282358","https://openalex.org/W2482257683","https://openalex.org/W2001368270"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,24,49,59,64,81,92,98,116],"robust":[4,25,50,121],"dynamic":[5],"output":[6],"feedback":[7],"(DOF)":[8],"problem":[9,27,69],"for":[10,38,70,138],"linear":[11,31,66],"parameter-varying":[12],"(LPV)":[13],"discrete-time":[14],"systems":[15],"with":[16,124],"polynomial":[17,93,140],"dependence":[18,94],"of":[19,76,83,95,119],"uncertainties.":[20],"For":[21],"this":[22,112],"purpose,":[23],"control":[26,67],"is":[28,55,78,88],"formulated":[29],"via":[30],"matrix":[32],"inequalities":[33],"(LMI)":[34],"using":[35],"Lyapunov's":[36],"theory":[37],"a":[39,120,125,139],"stability":[40,61],"proof.":[41],"Two":[42],"relaxation":[43,77,103],"methods":[44,104],"are":[45],"required":[46,89],"to":[47,57,63,90],"solve":[48],"LMI":[51,99,108],"problem.":[52],"The":[53,73],"first":[54],"necessary":[56],"expand":[58],"Lyapunov":[60],"condition":[62],"structured":[65],"(SLC)":[68],"DOF":[71],"controllers.":[72],"second":[74],"type":[75],"based":[79],"on":[80],"theorem":[82],"Ehlich":[84],"and":[85,87],"Zeller":[86],"include":[91],"uncertainties":[96],"in":[97],"design.":[100],"These":[101],"two":[102],"yield":[105],"an":[106],"iterative":[107],"optimization":[109],"approach.":[110],"In":[111],"paper,":[113],"we":[114],"consider":[115],"specific":[117],"example":[118],"I-PD":[122],"controller":[123],"predefined":[126],"decay":[127],"rate":[128],"that":[129],"satisfies":[130],"<tex":[131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[132,135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$H$</tex>":[133],"<inf":[134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[136],"conditions":[137],"parameter-dependent":[141],"uncertain":[142],"system.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}