{"id":"https://openalex.org/W3015960014","doi":"https://doi.org/10.1109/tcyb.2020.2982119","title":"Optimal Design of High-Order Control for Fuzzy Dynamical Systems Based on the Cooperative Game Theory","display_name":"Optimal Design of High-Order Control for Fuzzy Dynamical Systems Based on the Cooperative Game Theory","publication_year":2020,"publication_date":"2020-04-10","ids":{"openalex":"https://openalex.org/W3015960014","doi":"https://doi.org/10.1109/tcyb.2020.2982119","mag":"3015960014","pmid":"https://pubmed.ncbi.nlm.nih.gov/32287034"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2982119","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2982119","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":null,"display_name":"Chenming Li","orcid":"https://orcid.org/0000-0002-8446-2549"},"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"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Chenming Li","raw_affiliation_strings":["George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","School of Mechanical Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-8446-2549","affiliations":[{"raw_affiliation_string":"George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Mechanical Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ye-Hwa 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"]},{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Ye-Hwa Chen","raw_affiliation_strings":["George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","National Engineering Laboratory for Highway Maintenance Equipment, Chang\u2019an University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0002-9591-1397","affiliations":[{"raw_affiliation_string":"George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"National Engineering Laboratory for Highway Maintenance Equipment, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hao Sun","orcid":"https://orcid.org/0000-0003-1036-0256"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Sun","raw_affiliation_strings":["Anhui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China","School of Mechanical Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-1036-0256","affiliations":[{"raw_affiliation_string":"Anhui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"School of Mechanical Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":null,"display_name":"Han Zhao","orcid":"https://orcid.org/0000-0003-3098-1500"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han Zhao","raw_affiliation_strings":["Anhui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China","School of Mechanical Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-3098-1500","affiliations":[{"raw_affiliation_string":"Anhui Key Laboratory of Digital Design and Manufacturing, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]},{"raw_affiliation_string":"School of Mechanical Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1662,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.77719004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"52","issue":"1","first_page":"423","last_page":"432"},"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":0.3682999908924103,"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":0.3682999908924103,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.14149999618530273,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.10050000250339508,"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/control-theory","display_name":"Control theory (sociology)","score":0.6202999949455261},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5925999879837036},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5630999803543091},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.545799970626831},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5224000215530396},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4717000126838684},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4429999887943268},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.427700012922287}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6202999949455261},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5925999879837036},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5630999803543091},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.545799970626831},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5320000052452087},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5224000215530396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5020999908447266},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4717000126838684},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4429999887943268},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.427700012922287},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.42570000886917114},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.41119998693466187},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.39739999175071716},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3614000082015991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3612000048160553},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.349700003862381},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.3343999981880188},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.3125},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.2574000060558319}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.2982119","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2982119","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:32287034","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32287034","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/G3735687143","display_name":null,"funder_award_id":"JZ2019HGTA0042","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G445060322","display_name":null,"funder_award_id":"201806690019","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6344892543","display_name":null,"funder_award_id":"PA2019GDPK0066","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7035257321","display_name":null,"funder_award_id":"1908085QE194","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W143231168","https://openalex.org/W1200362552","https://openalex.org/W1966556797","https://openalex.org/W1983560838","https://openalex.org/W2004290356","https://openalex.org/W2009345820","https://openalex.org/W2010586405","https://openalex.org/W2013268517","https://openalex.org/W2021447156","https://openalex.org/W2023748160","https://openalex.org/W2035003264","https://openalex.org/W2035264122","https://openalex.org/W2046738003","https://openalex.org/W2051113548","https://openalex.org/W2054479018","https://openalex.org/W2079871064","https://openalex.org/W2083102607","https://openalex.org/W2125037149","https://openalex.org/W2125286642","https://openalex.org/W2129752983","https://openalex.org/W2132257838","https://openalex.org/W2141604475","https://openalex.org/W2153463745","https://openalex.org/W2160051270","https://openalex.org/W2164712834","https://openalex.org/W2167038379","https://openalex.org/W2345282453","https://openalex.org/W2550921909","https://openalex.org/W2609118042","https://openalex.org/W2791357020","https://openalex.org/W2890049006","https://openalex.org/W2893163052","https://openalex.org/W2901254935","https://openalex.org/W2944706468","https://openalex.org/W2953055972","https://openalex.org/W2969961230","https://openalex.org/W4205780965","https://openalex.org/W4211007335","https://openalex.org/W4211192810","https://openalex.org/W4252134603","https://openalex.org/W4255695605","https://openalex.org/W6606083903","https://openalex.org/W6628209719","https://openalex.org/W6751896460"],"related_works":[],"abstract_inverted_index":{"In":[0,60],"this":[1,20],"article,":[2],"we":[3,45],"propose":[4],"a":[5,75],"high-order":[6,67],"robust":[7],"control":[8,30,49,68,99],"for":[9,117],"fuzzy":[10,26,39],"dynamical":[11],"systems.":[12],"The":[13,29],"time":[14],"varying":[15],"but":[16],"bounded":[17],"uncertainty":[18],"in":[19,65,74],"system":[21,96],"is":[22,31,34,50,106],"described":[23],"by":[24,108],"the":[25,42,48,62,66,86,102,110],"set":[27],"theory.":[28],"deterministic":[32],"and":[33,56,98],"not":[35],"based":[36,84],"on":[37,85],"IF-THEN":[38],"rules.":[40],"By":[41],"Lyapunov":[43],"approach,":[44],"prove":[46],"that":[47],"able":[51],"to":[52,95],"guarantee":[53],"uniform":[54,57],"boundedness":[55],"ultimate":[58],"boundedness.":[59],"addition,":[61],"tunable":[63],"parameters":[64],"are":[69,81,93,115],"regarded":[70],"as":[71],"two":[72,87,90],"players":[73],"cooperative":[76],"game.":[77],"Two":[78],"cost":[79,91],"functions":[80,92],"also":[82],"proposed":[83],"players.":[88],"These":[89],"related":[94],"performance":[97],"cost.":[100],"Then,":[101],"optimal":[103],"design":[104],"problem":[105],"solved":[107],"finding":[109],"Pareto-optimality":[111],"parameters.":[112],"Numerical":[113],"simulations":[114],"performed":[116],"verification.":[118]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-04-17T00:00:00"}
