{"id":"https://openalex.org/W4310329823","doi":"https://doi.org/10.1109/tcyb.2022.3220537","title":"Fuzzy<i>H<sub>\u221e</sub></i>Control of Discrete-Time Nonlinear Markov Jump Systems via a Novel Hybrid Reinforcement<i>Q</i>-Learning Method","display_name":"Fuzzy<i>H<sub>\u221e</sub></i>Control of Discrete-Time Nonlinear Markov Jump Systems via a Novel Hybrid Reinforcement<i>Q</i>-Learning Method","publication_year":2022,"publication_date":"2022-11-24","ids":{"openalex":"https://openalex.org/W4310329823","doi":"https://doi.org/10.1109/tcyb.2022.3220537","pmid":"https://pubmed.ncbi.nlm.nih.gov/36417712"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2022.3220537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3220537","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/A5100378538","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-5519-9016"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["Anhui Province Key Laboratory of Special Heavy Load Robot and the School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":"https://orcid.org/0000-0002-5519-9016","affiliations":[{"raw_affiliation_string":"Anhui Province Key Laboratory of Special Heavy Load Robot and the School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011843182","display_name":"Jiacheng Wu","orcid":"https://orcid.org/0000-0001-7607-8777"},"institutions":[{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiacheng Wu","raw_affiliation_strings":["Anhui Province Key Laboratory of Special Heavy Load Robot and the School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China"],"raw_orcid":"https://orcid.org/0000-0001-7607-8777","affiliations":[{"raw_affiliation_string":"Anhui Province Key Laboratory of Special Heavy Load Robot and the School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067323219","display_name":"Hao Shen","orcid":"https://orcid.org/0000-0001-7024-6573"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]},{"id":"https://openalex.org/I92178344","display_name":"Anhui University of Technology","ror":"https://ror.org/02qdtrq21","country_code":"CN","type":"education","lineage":["https://openalex.org/I92178344"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Shen","raw_affiliation_strings":["School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-7024-6573","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, China","institution_ids":["https://openalex.org/I92178344"]},{"raw_affiliation_string":"Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN","KR"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China","Yonsei Frontier Lab, Yonsei University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-3133-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Yonsei Frontier Lab, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043134796","display_name":"Leszek Rutkowski","orcid":"https://orcid.org/0000-0001-6960-9525"},"institutions":[{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Leszek Rutkowski","raw_affiliation_strings":["AGH University of Science and Technology, Krak&#x00F2;w, Poland","Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland"],"raw_orcid":"https://orcid.org/0000-0001-6960-9525","affiliations":[{"raw_affiliation_string":"AGH University of Science and Technology, Krak&#x00F2;w, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":28.0188,"has_fulltext":false,"cited_by_count":244,"citation_normalized_percentile":{"value":0.99789416,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"53","issue":"11","first_page":"7380","last_page":"7391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"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"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12277","display_name":"Frequency Control in Power Systems","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/reinforcement-learning","display_name":"Reinforcement learning","score":0.7298429608345032},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6282864809036255},{"id":"https://openalex.org/keywords/q-learning","display_name":"Q-learning","score":0.5647523999214172},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5401621460914612},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5314280986785889},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4899558126926422},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4783584475517273},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46589672565460205},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.46539318561553955},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4387182593345642},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4304687976837158},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.41135355830192566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32617270946502686},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.30119138956069946},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20897170901298523},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20574951171875}],"concepts":[{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7298429608345032},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6282864809036255},{"id":"https://openalex.org/C188116033","wikidata":"https://www.wikidata.org/wiki/Q2664563","display_name":"Q-learning","level":3,"score":0.5647523999214172},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5401621460914612},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5314280986785889},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4899558126926422},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4783584475517273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46589672565460205},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.46539318561553955},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4387182593345642},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4304687976837158},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.41135355830192566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32617270946502686},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.30119138956069946},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20897170901298523},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20574951171875},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2022.3220537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3220537","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:36417712","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36417712","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/G1322164634","display_name":null,"funder_award_id":"62173001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3460663202","display_name":null,"funder_award_id":"62273006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5213747637","display_name":null,"funder_award_id":"2021ACOCP05","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8988429466","display_name":null,"funder_award_id":"61873002","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1680219837","https://openalex.org/W1983523797","https://openalex.org/W1992865529","https://openalex.org/W2005437559","https://openalex.org/W2011866373","https://openalex.org/W2020688906","https://openalex.org/W2024303516","https://openalex.org/W2056470748","https://openalex.org/W2070016344","https://openalex.org/W2075662660","https://openalex.org/W2079726633","https://openalex.org/W2093837911","https://openalex.org/W2134860205","https://openalex.org/W2137460583","https://openalex.org/W2138611498","https://openalex.org/W2148439597","https://openalex.org/W2160051270","https://openalex.org/W2161356965","https://openalex.org/W2165726932","https://openalex.org/W2286604276","https://openalex.org/W2333120204","https://openalex.org/W2750375548","https://openalex.org/W2807477133","https://openalex.org/W2809310269","https://openalex.org/W2897702175","https://openalex.org/W2924005565","https://openalex.org/W2936556294","https://openalex.org/W2963083397","https://openalex.org/W3009014967","https://openalex.org/W3035621227","https://openalex.org/W3038163430","https://openalex.org/W3043521537","https://openalex.org/W3092252985","https://openalex.org/W3123054758","https://openalex.org/W3127008750","https://openalex.org/W3133357144","https://openalex.org/W3143195988","https://openalex.org/W3152004456","https://openalex.org/W3175636152","https://openalex.org/W3191504080","https://openalex.org/W3201681013","https://openalex.org/W3203011581","https://openalex.org/W4206003484","https://openalex.org/W4285175029","https://openalex.org/W4388319978","https://openalex.org/W6801016348"],"related_works":["https://openalex.org/W2808418668","https://openalex.org/W2357975469","https://openalex.org/W2101748387","https://openalex.org/W3096874164","https://openalex.org/W4281812492","https://openalex.org/W2315999538","https://openalex.org/W3105579180","https://openalex.org/W2970347269","https://openalex.org/W3167472281","https://openalex.org/W4400868993"],"abstract_inverted_index":{"In":[0],"this":[1,80],"article,":[2],"a":[3,98,162,172],"novel":[4],"hybrid":[5,85,111,123],"reinforcement":[6],"<inline-formula":[7,23,51,104],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,24,52,105],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[9,25,53,106],"<tex-math":[10,26,54,107],"notation=\"LaTeX\">$Q$":[11,108],"</tex-math></inline-formula>":[12,29,57,109],"-learning":[13,110],"control":[14,30,58,150],"method":[15],"is":[16,59,88,114,152],"proposed":[17,121],"to":[18,61,178],"solve":[19,79],"the":[20,40,45,120,134,140,144,147,158,180,183],"adaptive":[21,49],"fuzzy":[22,42,50,63],"notation=\"LaTeX\">$H_{\\infty":[27,55],"}$":[28,56],"problem":[31,47],"of":[32,48,119,146,182],"discrete-time":[33],"nonlinear":[34],"Markov":[35],"jump":[36],"systems":[37],"based":[38],"on":[39],"Takagi\u2013Sugeno":[41],"model.":[43],"First,":[44],"core":[46],"converted":[60],"solving":[62],"game":[64],"coupled":[65],"algebraic":[66],"Riccati":[67],"equation,":[68],"which":[69],"can":[70,166],"hardly":[71],"be":[72,95,167],"solved":[73],"by":[74],"mathematical":[75],"methods":[76],"directly.":[77],"To":[78],"problem,":[81],"an":[82,101],"offline":[83],"parallel":[84,103],"learning":[86,112,124,135,185],"algorithm":[87,113],"first":[89],"designed,":[90],"where":[91],"system":[92,129,176],"dynamics":[93,130],"should":[94],"known":[96],"as":[97],"prior.":[99],"Furthermore,":[100],"online":[102,122],"developed.":[115],"The":[116],"main":[117],"characteristics":[118],"algorithms":[125],"are":[126,131],"threefold:":[127],"1)":[128],"avoided":[132],"during":[133],"process;":[136],"2)":[137],"compared":[138,156],"with":[139,157],"policy":[141,151],"iteration":[142,160],"method,":[143,161],"restriction":[145],"initial":[148],"stable":[149],"removed;":[153],"and":[154],"3)":[155],"value":[159],"faster":[163],"convergence":[164],"rate":[165],"obtained.":[168],"Finally,":[169],"we":[170],"provide":[171],"tunnel":[173],"diode":[174],"circuit":[175],"model":[177],"validate":[179],"effectiveness":[181],"present":[184],"algorithm.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":49},{"year":2025,"cited_by_count":147},{"year":2024,"cited_by_count":42},{"year":2023,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-12-08T00:00:00"}