{"id":"https://openalex.org/W3090399675","doi":"https://doi.org/10.1109/ccta41146.2020.9206320","title":"Data-Driven Solutions to Mixed $H_{2}/H_{\\infty}$ Control: A Hamilton-Inequality-Driven Reinforcement Learning Approach","display_name":"Data-Driven Solutions to Mixed $H_{2}/H_{\\infty}$ Control: A Hamilton-Inequality-Driven Reinforcement Learning Approach","publication_year":2020,"publication_date":"2020-08-01","ids":{"openalex":"https://openalex.org/W3090399675","doi":"https://doi.org/10.1109/ccta41146.2020.9206320","mag":"3090399675"},"language":"en","primary_location":{"id":"doi:10.1109/ccta41146.2020.9206320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta41146.2020.9206320","pdf_url":null,"source":{"id":"https://openalex.org/S4306498667","display_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","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/A5053342436","display_name":"Yongliang Yang","orcid":"https://orcid.org/0000-0002-3144-8604"},"institutions":[{"id":"https://openalex.org/I6469544","display_name":"City University of Macau","ror":"https://ror.org/04gpd4q15","country_code":"MO","type":"education","lineage":["https://openalex.org/I6469544"]},{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Yongliang Yang","raw_affiliation_strings":["State Key Laboratory of IoTSC, University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of IoTSC, University of Macau, Macau, China","institution_ids":["https://openalex.org/I6469544","https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058087124","display_name":"Majid Mazouchi","orcid":"https://orcid.org/0000-0003-2069-8760"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Majid Mazouchi","raw_affiliation_strings":["Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103103535","display_name":"Hamidreza Modares","orcid":"https://orcid.org/0000-0001-5695-4709"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamidreza Modares","raw_affiliation_strings":["Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053342436"],"corresponding_institution_ids":["https://openalex.org/I204512498","https://openalex.org/I6469544"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16113744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"340","last_page":"345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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":0.9998999834060669,"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9617999792098999,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6171215176582336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5170077085494995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4291253983974457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4228348731994629},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3320709466934204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33125513792037964},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3217918872833252},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28997552394866943},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21788814663887024}],"concepts":[{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6171215176582336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5170077085494995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4291253983974457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4228348731994629},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3320709466934204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33125513792037964},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3217918872833252},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28997552394866943},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21788814663887024}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ccta41146.2020.9206320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccta41146.2020.9206320","pdf_url":null,"source":{"id":"https://openalex.org/S4306498667","display_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W87614695","https://openalex.org/W202410370","https://openalex.org/W1495711302","https://openalex.org/W1578630563","https://openalex.org/W1968908471","https://openalex.org/W1972243698","https://openalex.org/W1983523797","https://openalex.org/W1997867294","https://openalex.org/W2013895638","https://openalex.org/W2042106612","https://openalex.org/W2068949505","https://openalex.org/W2089924634","https://openalex.org/W2106850246","https://openalex.org/W2109640889","https://openalex.org/W2119066179","https://openalex.org/W2148439597","https://openalex.org/W2484646121","https://openalex.org/W2546768110","https://openalex.org/W2585299106","https://openalex.org/W2798534591","https://openalex.org/W2999863957"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928"],"abstract_inverted_index":{"Today's":[0],"industrial":[1,41],"systems":[2,42],"have":[3],"complex":[4],"and":[5,9,50,117,163],"possibly":[6],"unknown":[7,15],"dynamics,":[8,192],"are":[10],"under":[11],"the":[12,28,136,146,151,155,161,184,190,202,210,213,229,232],"effect":[13],"of":[14,179,186,189,212,231],"disturbances.":[16],"This":[17,123],"paper":[18],"presents":[19],"a":[20,74,93,99,193,218,222],"model-free":[21],"reinforcement":[22,195],"learning":[23,196],"(RL)":[24],"algorithm":[25,141],"for":[26,40],"solving":[27,82],"mixed":[29,59],"H":[30,60,113,118,165],"<sub":[31,35,61,65,114,119,166,170],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32,36,62,66,115,120,167,171],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[33,63,116,168],"/H":[34,64,169],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[37,67,121,172],"control":[38],"design":[39],"to":[43,46,108,112,128,131,135,144,200,227],"respond":[44],"favorably":[45],"both":[47],"disturbance":[48],"attenuation":[49],"performance":[51,68,173,180],"requirement":[52,185],"specifications,":[53],"despite":[54],"uncertainties":[55],"in":[56,81,177,206],"dynamics.":[57],"The":[58,158],"optimization":[69,95,106,148,174,204],"is":[70,102,142,175,198,225],"first":[71],"formulated":[72,147],"as":[73],"non-zero":[75],"sum":[76],"game":[77],"problem,":[78],"which":[79],"results":[80],"coupled":[83,90],"Hamilton-Jacobi":[84],"(HJ)":[85],"equations.":[86],"To":[87,182],"solve":[88,145,201],"these":[89],"HJ":[91],"equations,":[92],"relaxed":[94,164],"framework":[96,101],"based":[97],"on":[98],"Hamiltonian-driven":[100],"presented":[103],"that":[104],"performs":[105],"subject":[107],"two":[109],"Hamiltonian-inequalities":[110],"corresponding":[111],"performances.":[122],"allows":[124],"Sum-of-Square":[125],"(SOS)":[126],"programs":[127],"be":[129],"used":[130],"find":[132],"efficient":[133],"solutions":[134],"problem.":[137],"An":[138],"SOS-based":[139],"iterative":[140],"developed":[143],"problem":[149,205],"with":[150],"constraints":[152],"represented":[153],"by":[154],"Hamiltonian":[156],"inequalities.":[157],"relation":[159],"between":[160],"original":[162],"discussed":[176],"terms":[178],"comparison.":[181],"obviate":[183],"complete":[187],"knowledge":[188],"system":[191,214],"data-driven":[194],"approach":[197],"proposed":[199,233],"SOS":[203],"real-time":[207],"using":[208],"only":[209],"information":[211],"trajectories":[215],"measured":[216],"during":[217],"time":[219],"interval.":[220],"Finally,":[221],"simulation":[223],"example":[224],"provided":[226],"show":[228],"effectiveness":[230],"algorithm.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
