{"id":"https://openalex.org/W3113061779","doi":"https://doi.org/10.1109/tcyb.2020.3035414","title":"Cooperative Game Approach to Robust Control Design for Fuzzy Dynamical Systems","display_name":"Cooperative Game Approach to Robust Control Design for Fuzzy Dynamical Systems","publication_year":2020,"publication_date":"2020-12-08","ids":{"openalex":"https://openalex.org/W3113061779","doi":"https://doi.org/10.1109/tcyb.2020.3035414","mag":"3113061779","pmid":"https://pubmed.ncbi.nlm.nih.gov/33284771"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.3035414","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3035414","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5049649029","display_name":"Rongrong Yu","orcid":"https://orcid.org/0000-0002-7614-5092"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rongrong Yu","raw_affiliation_strings":["College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014315590","display_name":"Ye\u2010Hwa Chen","orcid":"https://orcid.org/0000-0002-9591-1397"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ye-Hwa Chen","raw_affiliation_strings":["National Engineering Laboratory for Highway Maintenance Equipment, Chang&#x2019;an University, Xi&#x2019;an, China","George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"affiliations":[{"raw_affiliation_string":"National Engineering Laboratory for Highway Maintenance Equipment, Chang&#x2019;an University, Xi&#x2019;an, China","institution_ids":[]},{"raw_affiliation_string":"George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011132626","display_name":"Baokun Han","orcid":"https://orcid.org/0000-0001-7367-6253"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baokun Han","raw_affiliation_strings":["College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049649029"],"corresponding_institution_ids":["https://openalex.org/I80143920"],"apc_list":null,"apc_paid":null,"fwci":1.1769,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.79164496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"52","issue":"7","first_page":"7151","last_page":"7163"},"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":0.9952999949455261,"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":0.9952999949455261,"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/T12158","display_name":"Guidance and Control Systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10545","display_name":"Optimization and Variational Analysis","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6581156253814697},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6488506197929382},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6191357970237732},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.537168025970459},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5203142166137695},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5105065107345581},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5047317743301392},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.5047146081924438},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.493389755487442},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.483849436044693},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.47067198157310486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46539270877838135},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.46058908104896545},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44805243611335754},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4452567398548126},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4438289999961853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4296168088912964},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4167245626449585},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3989233672618866},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3692038059234619},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18036720156669617},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0740213394165039}],"concepts":[{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6581156253814697},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6488506197929382},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6191357970237732},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.537168025970459},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5203142166137695},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5105065107345581},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5047317743301392},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.5047146081924438},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.493389755487442},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.483849436044693},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.47067198157310486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46539270877838135},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.46058908104896545},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44805243611335754},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4452567398548126},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4438289999961853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4296168088912964},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4167245626449585},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3989233672618866},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3692038059234619},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18036720156669617},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0740213394165039},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.3035414","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3035414","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:33284771","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33284771","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5582874837","display_name":null,"funder_award_id":"52005302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W634281116","https://openalex.org/W1484515782","https://openalex.org/W1523877235","https://openalex.org/W1532230338","https://openalex.org/W1562844845","https://openalex.org/W1969095297","https://openalex.org/W1987486506","https://openalex.org/W1990777642","https://openalex.org/W1991493129","https://openalex.org/W1998439873","https://openalex.org/W2068790100","https://openalex.org/W2074675586","https://openalex.org/W2083534157","https://openalex.org/W2136597601","https://openalex.org/W2143135670","https://openalex.org/W2163056488","https://openalex.org/W2167704915","https://openalex.org/W2242189886","https://openalex.org/W2345282453","https://openalex.org/W2527655802","https://openalex.org/W2559273690","https://openalex.org/W2766329821","https://openalex.org/W2790201244","https://openalex.org/W2801237421","https://openalex.org/W2883514419","https://openalex.org/W2901254935","https://openalex.org/W2902953588","https://openalex.org/W2903678526","https://openalex.org/W2911454810","https://openalex.org/W2911458131","https://openalex.org/W2954274247","https://openalex.org/W2955017115","https://openalex.org/W2986511388","https://openalex.org/W2987048079","https://openalex.org/W3007437250","https://openalex.org/W4205471131","https://openalex.org/W4211007335","https://openalex.org/W4211192810","https://openalex.org/W4233512036","https://openalex.org/W6727863192"],"related_works":["https://openalex.org/W962423920","https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2387968248","https://openalex.org/W2963760573","https://openalex.org/W2350715914","https://openalex.org/W185788778","https://openalex.org/W2895916002","https://openalex.org/W2101175215","https://openalex.org/W2617600912"],"abstract_inverted_index":{"There":[0],"is":[1,11,23,41,57,61,76,109,126,158],"uncertainty":[2,10],"in":[3,101],"the":[4,27,32,64,71,79,98,102,146,155,161,164],"system,":[5],"and":[6,30,90,136],"we":[7],"consider":[8],"that":[9,78],"(possibly":[12],"fast)":[13],"time":[14],"varying,":[15],"but":[16],"with":[17],"definite":[18],"bound.":[19],"Fuzzy":[20],"set":[21],"theory":[22],"used":[24],"to":[25,86,96],"describe":[26],"inexact":[28],"boundary":[29],"then":[31],"problem":[33],"of":[34,37,124,154,163],"robust":[35,50],"control":[36,51,60,81,116,156],"uncertain":[38],"dynamical":[39],"systems":[40,56],"studied.":[42],"Based":[43],"on":[44],"two":[45,118],"adjustable":[46,130],"design":[47,157],"parameters,":[48],"a":[49,105],"method":[52],"for":[53,139],"general":[54],"mechanical":[55],"proposed.":[58],"The":[59,152],"deterministic,":[62],"not":[63],"conventional":[65],"IF-THEN":[66],"rule":[67],"based.":[68],"By":[69],"using":[70],"Lyapunov":[72],"minimax":[73],"approach,":[74],"it":[75],"proved":[77],"proposed":[80],"can":[82,149],"guarantee":[83],"system":[84],"performance":[85,119],"be":[87,150],"uniformly":[88,91],"bounded":[89],"ultimately":[92],"bounded.":[93],"In":[94],"order":[95],"find":[97],"optimal":[99],"solution":[100,148],"prescribed":[103],"range,":[104],"two-player":[106],"cooperative":[107],"game":[108],"used.":[110],"To":[111],"reduce":[112],"costs":[113],"while":[114],"ensuring":[115],"performance,":[117],"indices":[120],"are":[121,141],"developed,":[122],"each":[123],"which":[125],"controlled":[127],"by":[128,160],"an":[129],"parameter":[131],"(i.e.,":[132],"player).":[133],"Both":[134],"necessary":[135],"sufficient":[137],"conditions":[138],"Pareto-optimality":[140],"established.":[142],"Using":[143],"these":[144],"conditions,":[145],"Pareto-optimal":[147],"obtained.":[151],"effectiveness":[153],"demonstrated":[159],"simulation":[162],"two-body":[165],"pendulum.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
