{"id":"https://openalex.org/W4407899972","doi":"https://doi.org/10.1109/tac.2025.3545515","title":"Robust Observer-Based Control Design for Stochastic Discrete-Time Quasi-Linear Systems via LMIs","display_name":"Robust Observer-Based Control Design for Stochastic Discrete-Time Quasi-Linear Systems via LMIs","publication_year":2025,"publication_date":"2025-02-24","ids":{"openalex":"https://openalex.org/W4407899972","doi":"https://doi.org/10.1109/tac.2025.3545515"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3545515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3545515","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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"],"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","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"],"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","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"],"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","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":["Distributed Control in Interconnected Systems, Carl von Ossietzky Universit&#x00E4;t Oldenburg, Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1548-6547","affiliations":[{"raw_affiliation_string":"Distributed Control in Interconnected Systems, Carl von Ossietzky Universit&#x00E4;t Oldenburg, Wuppertal, Germany","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"],"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","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":1.5558,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.80704057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"70","issue":"9","first_page":"5660","last_page":"5674"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9681000113487244,"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":0.9681000113487244,"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":0.9035000205039978,"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":0.7358624935150146},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6655052304267883},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5554154515266418},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5014042854309082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47745683789253235},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4278869032859802},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4150731861591339},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.38221102952957153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.358345627784729},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15989869832992554},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09987819194793701},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06175711750984192}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7358624935150146},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6655052304267883},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5554154515266418},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5014042854309082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47745683789253235},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4278869032859802},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4150731861591339},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.38221102952957153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.358345627784729},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15989869832992554},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09987819194793701},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06175711750984192},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/tac.2025.3545515","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3545515","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1561560157","https://openalex.org/W1972527759","https://openalex.org/W1980637330","https://openalex.org/W1987623287","https://openalex.org/W2014451420","https://openalex.org/W2026963557","https://openalex.org/W2030334004","https://openalex.org/W2038230325","https://openalex.org/W2047102898","https://openalex.org/W2051683906","https://openalex.org/W2065548314","https://openalex.org/W2093927835","https://openalex.org/W2115424783","https://openalex.org/W2121955556","https://openalex.org/W2140296216","https://openalex.org/W2167094764","https://openalex.org/W2477154950","https://openalex.org/W2491162252","https://openalex.org/W2536620281","https://openalex.org/W2968813711","https://openalex.org/W3013635670","https://openalex.org/W3162339999","https://openalex.org/W3179334834","https://openalex.org/W3216059512","https://openalex.org/W4210919947","https://openalex.org/W4213345774","https://openalex.org/W4313490444","https://openalex.org/W4313490550","https://openalex.org/W4392408451"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W3192036299","https://openalex.org/W3154990682","https://openalex.org/W2560201613","https://openalex.org/W2171975302","https://openalex.org/W2022352247","https://openalex.org/W2488129135","https://openalex.org/W4251859918","https://openalex.org/W2151481036","https://openalex.org/W2112869190"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,42,50,74,97,174,202,211],"dedicated":[3],"to":[4,26,101,178],"a":[5,45,53,166],"less":[6,102],"conservative":[7,103],"observer-based":[8],"controller":[9,64,172],"design":[10],"method":[11,96],"using":[12,162],"linear":[13],"matrix":[14],"inequality":[15],"(LMI)":[16],"for":[17,62],"discrete-time":[18,88],"quasi-linear":[19,141],"systems":[20],"with":[21,81,125],"polynomial":[22,134,148,152,159,189],"parameter":[23,107],"dependencies":[24,108],"subject":[25],"stochastic":[27],"noise.":[28],"While":[29],"robust":[30],"closed":[31,40],"loop":[32,41],"stability":[33],"of":[34,38,115,123,128,140,170,184,188,208],"the":[35,39,48,63,87,113,121,126,133,151,168,171,185,200,205,209],"deterministic":[36],"part":[37],"guaranteed":[43,203],"by":[44,52,76,111,138],"Lyapunov-based":[46],"approach,":[47],"performance":[49],"improved":[51,175],"separate":[54],"<inline-formula":[55],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[57],"notation=\"LaTeX\">$\\mathcal":[58],"{D}_{\\mathrm{R}}$</tex-math></inline-formula>":[59],"eigenvalue":[60],"region":[61],"and":[65,71,117,130,204],"observer.":[66],"In":[67],"addition,":[68],"input,":[69],"process,":[70],"sensor":[72],"noise":[73],"suppressed":[75],"solving":[77],"an":[78,82,93],"optimization":[79,104,169],"problem":[80],"objective":[83],"function":[84],"derived":[85],"from":[86],"It\u00f4":[89],"differential":[90],"operator.":[91],"Therefore,":[92,132],"iterative":[94],"LMI":[95],"utilized,":[98],"which":[99,144],"leads":[100],"results.":[105],"Polynomial":[106],"are":[109,136,145,154,192],"treated":[110,155],"including":[112],"calculation":[114],"upper":[116],"lower":[118],"bounds":[119],"in":[120,156,176,194,196],"set":[122],"LMIs":[124],"theorem":[127],"Ehlich":[129],"Zeller.":[131],"nonlinearities":[135,153],"formulated":[137],"means":[139],"system":[142],"representations,":[143],"interpreted":[146],"as":[147],"matrices.":[149],"Thus,":[150],"their":[157],"original":[158],"form,":[160],"without":[161],"polytopic":[163,180],"approximations.":[164],"As":[165],"result,":[167],"parameters":[173],"contrast":[177],"conventional":[179],"approaches.":[181],"The":[182],"results":[183],"novel":[186],"approach":[187,210],"uncertainty":[190],"representations":[191],"discussed":[193],"detail":[195],"two":[197],"examples,":[198],"wherein":[199],"reproducibility":[201],"practical":[206],"applicability":[207],"demonstrated.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
