{"id":"https://openalex.org/W2968110387","doi":"https://doi.org/10.1109/tii.2019.2935236","title":"Nonlinear Noncausal Optimal Control of Wave Energy Converters Via Approximate Dynamic Programming","display_name":"Nonlinear Noncausal Optimal Control of Wave Energy Converters Via Approximate Dynamic Programming","publication_year":2019,"publication_date":"2019-08-14","ids":{"openalex":"https://openalex.org/W2968110387","doi":"https://doi.org/10.1109/tii.2019.2935236","mag":"2968110387"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2019.2935236","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2935236","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","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/A5041446314","display_name":"Siyuan Zhan","orcid":"https://orcid.org/0000-0002-0002-3427"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Siyuan Zhan","raw_affiliation_strings":["Department of Engineering and Material Science, Queen Mary University of London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0002-0002-3427","affiliations":[{"raw_affiliation_string":"Department of Engineering and Material Science, Queen Mary University of London, London, U.K","institution_ids":["https://openalex.org/I166337079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008377523","display_name":"Jing Na","orcid":"https://orcid.org/0000-0002-3067-1580"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Na","raw_affiliation_strings":["Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming, China"],"raw_orcid":"https://orcid.org/0000-0002-3067-1580","affiliations":[{"raw_affiliation_string":"Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming, China","institution_ids":["https://openalex.org/I10660446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108049333","display_name":"Guang Li","orcid":"https://orcid.org/0000-0001-9323-5076"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Guang Li","raw_affiliation_strings":["Department of Engineering and Material Science, Queen Mary University of London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0001-9323-5076","affiliations":[{"raw_affiliation_string":"Department of Engineering and Material Science, Queen Mary University of London, London, U.K","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5425,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.84783125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"11","first_page":"6070","last_page":"6079"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9973000288009644,"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":0.9973000288009644,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9905999898910522,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9868999719619751,"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/optimal-control","display_name":"Optimal control","score":0.7852787971496582},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7376630306243896},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6376396417617798},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5440617203712463},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5111890435218811},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5037140250205994},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.47663697600364685},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.4723808765411377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4631001651287079},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3741453289985657},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3315660059452057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32436603307724},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15930905938148499},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.11570620536804199},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07761582732200623}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7852787971496582},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7376630306243896},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6376396417617798},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5440617203712463},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5111890435218811},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5037140250205994},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.47663697600364685},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.4723808765411377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4631001651287079},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3741453289985657},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3315660059452057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32436603307724},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15930905938148499},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.11570620536804199},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07761582732200623},{"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/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/tii.2019.2935236","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2935236","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/90702ab1-831b-4220-9e7a-db8221294ed6","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/90702ab1-831b-4220-9e7a-db8221294ed6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zhan, S, Na, J & Li, G 2015, 'Nonlinear noncausal optimal control of wave energy converters via approximate dynamic programming', IEEE Transactions on Industrial Informatics. https://doi.org/10.1109/TII.2019.2935236","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9200000166893005,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G3358819595","display_name":null,"funder_award_id":"EP/P023002/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6458044528","display_name":null,"funder_award_id":"61573174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7198406823","display_name":null,"funder_award_id":"61873115","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/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W15764369","https://openalex.org/W79868420","https://openalex.org/W1983523797","https://openalex.org/W1989684253","https://openalex.org/W2004349053","https://openalex.org/W2005229381","https://openalex.org/W2024303516","https://openalex.org/W2047498742","https://openalex.org/W2050804982","https://openalex.org/W2080536457","https://openalex.org/W2098432798","https://openalex.org/W2108286682","https://openalex.org/W2110361814","https://openalex.org/W2139494805","https://openalex.org/W2142300862","https://openalex.org/W2146008045","https://openalex.org/W2154051887","https://openalex.org/W2252973868","https://openalex.org/W2312251704","https://openalex.org/W2345847332","https://openalex.org/W2404390629","https://openalex.org/W2467518411","https://openalex.org/W2767784613","https://openalex.org/W2796138772","https://openalex.org/W2884606743","https://openalex.org/W2890142862","https://openalex.org/W2898807683","https://openalex.org/W2901363724","https://openalex.org/W3010562861","https://openalex.org/W3208545146","https://openalex.org/W6600629665","https://openalex.org/W6680777499","https://openalex.org/W6803432848"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W2379312070","https://openalex.org/W2136173754","https://openalex.org/W2110050003","https://openalex.org/W2953025626","https://openalex.org/W2499081552","https://openalex.org/W2366053282","https://openalex.org/W2128788708","https://openalex.org/W2097061373"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,30,59,127,139,150,159,165],"novel":[4],"nonlinear":[5,17,61],"receding":[6,140],"horizon":[7,141],"optimal":[8,33,63,109],"control":[9,26,34,51,64,95],"algorithm":[10],"for":[11,66,115],"wave":[12,47,82,172],"energy":[13,38,87],"converter":[14],"(WECs)":[15],"with":[16],"dynamics.":[18],"It":[19],"is":[20,28,132],"well":[21],"accepted":[22],"that":[23],"the":[24,37,45,50,70,81,86,92,100,105,111,181,184],"WEC":[25],"problem":[27],"essentially":[29],"noncausal":[31,62,108,166],"constrained":[32],"problem,":[35,126],"where":[36],"output":[39],"can":[40],"be":[41],"improved":[42],"by":[43,54],"incorporating":[44],"short-term":[46],"prediction":[48,83,173],"into":[49],"synthesis.":[52],"Inspired":[53],"this":[55,125],"fact,":[56],"we":[57],"suggest":[58],"new":[60],"(NNOC)":[65],"WECs":[67],"based":[68],"on":[69],"principle":[71],"of":[72,145,158,183],"approximate":[73,135],"dynamic":[74],"programming,":[75],"which":[76],"can,":[77],"first,":[78],"explicitly":[79],"use":[80],"to":[84,104,134,169,179],"improve":[85],"conversion":[88],"efficiency;":[89],"second,":[90],"handle":[91],"state":[93,161],"and":[94,164],"input":[96],"constraints;":[97],"third,":[98],"reduce":[99],"computational":[101],"burden.":[102],"Different":[103],"existing":[106],"linear":[107],"control,":[110],"derived":[112],"Hamilton-Jacobi-Bellman":[113],"equation":[114],"NNOC":[116,156,186],"does":[117],"not":[118],"have":[119],"an":[120],"analytic":[121],"solution.":[122],"To":[123],"tackle":[124],"critic":[128],"neural":[129],"network":[130],"(NN)":[131],"adopted":[133],"its":[136],"solution":[137],"in":[138],"manor.":[142],"The":[143,154],"weights":[144],"NN":[146],"are":[147,177],"determined":[148],"via":[149],"policy":[151],"iteration":[152],"algorithm.":[153],"resulting":[155],"consists":[157],"causal":[160],"feedback":[162],"part":[163,168],"feedforward":[167],"explicit":[170],"incorporate":[171],"information.":[174],"Numerical":[175],"simulations":[176],"provided":[178],"verify":[180],"efficacy":[182],"proposed":[185],"method.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}