{"id":"https://openalex.org/W2802641938","doi":"https://doi.org/10.1109/access.2018.2830768","title":"Dynamic Optimal Control of a One-Dimensional Magnetohydrodynamic System With Bilinear Actuation","display_name":"Dynamic Optimal Control of a One-Dimensional Magnetohydrodynamic System With Bilinear Actuation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2802641938","doi":"https://doi.org/10.1109/access.2018.2830768","mag":"2802641938"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2830768","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2830768","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2830768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068707928","display_name":"Zhigang Ren","orcid":"https://orcid.org/0000-0002-0913-0130"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhigang Ren","raw_affiliation_strings":["Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058658495","display_name":"Zhijia Zhao","orcid":"https://orcid.org/0000-0001-5893-0233"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijia Zhao","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053349477","display_name":"Zongze Wu","orcid":"https://orcid.org/0000-0002-2115-8670"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongze Wu","raw_affiliation_strings":["Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015344563","display_name":"Tehuan Chen","orcid":"https://orcid.org/0000-0002-5370-4410"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tehuan Chen","raw_affiliation_strings":["Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068707928"],"corresponding_institution_ids":["https://openalex.org/I139024713"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9049,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.73537192,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"24464","last_page":"24474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.6255759596824646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5527660250663757},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5063916444778442},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.47350814938545227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46103692054748535},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.44701775908470154},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4356311559677124},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4296518564224243},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4162311255931854},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41509726643562317},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4148009419441223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39984163641929626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19247722625732422},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13825157284736633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1335471272468567}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6255759596824646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5527660250663757},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5063916444778442},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47350814938545227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46103692054748535},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.44701775908470154},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4356311559677124},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4296518564224243},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4162311255931854},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41509726643562317},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4148009419441223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39984163641929626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19247722625732422},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13825157284736633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1335471272468567},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2830768","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2830768","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:06a710b5c08849bfbdf02bd8bb57964d","is_oa":true,"landing_page_url":"https://doaj.org/article/06a710b5c08849bfbdf02bd8bb57964d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 24464-24474 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2830768","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2830768","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6499999761581421,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1842763158","display_name":null,"funder_award_id":"61703217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5798920042","display_name":null,"funder_award_id":"61673126","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7646664079","display_name":null,"funder_award_id":"61703114","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":45,"referenced_works":["https://openalex.org/W563110697","https://openalex.org/W936481127","https://openalex.org/W1045272657","https://openalex.org/W1131360920","https://openalex.org/W1490039878","https://openalex.org/W1520048798","https://openalex.org/W1556851660","https://openalex.org/W1901119619","https://openalex.org/W1975622020","https://openalex.org/W1976098283","https://openalex.org/W1982628685","https://openalex.org/W1990426504","https://openalex.org/W2017745440","https://openalex.org/W2018426510","https://openalex.org/W2036157297","https://openalex.org/W2046546394","https://openalex.org/W2077132501","https://openalex.org/W2078178370","https://openalex.org/W2086439021","https://openalex.org/W2088233472","https://openalex.org/W2090839181","https://openalex.org/W2109902749","https://openalex.org/W2138693236","https://openalex.org/W2140932686","https://openalex.org/W2152609732","https://openalex.org/W2165346582","https://openalex.org/W2166818140","https://openalex.org/W2167142165","https://openalex.org/W2169096497","https://openalex.org/W2253274025","https://openalex.org/W2324947828","https://openalex.org/W2337334738","https://openalex.org/W2408472393","https://openalex.org/W2461067303","https://openalex.org/W2479981081","https://openalex.org/W2595603767","https://openalex.org/W2601473904","https://openalex.org/W2624568290","https://openalex.org/W2748808688","https://openalex.org/W2782797040","https://openalex.org/W2784234514","https://openalex.org/W2792457092","https://openalex.org/W4254537878","https://openalex.org/W6747942721","https://openalex.org/W6748076275"],"related_works":["https://openalex.org/W2124287120","https://openalex.org/W1951249712","https://openalex.org/W2314373002","https://openalex.org/W2351235964","https://openalex.org/W2334267221","https://openalex.org/W4238937692","https://openalex.org/W2037688108","https://openalex.org/W2003377329","https://openalex.org/W2512310029","https://openalex.org/W2047206873"],"abstract_inverted_index":{"The":[0,164,199],"manipulation":[1],"of":[2,44,54,76,131,170,194,209,217],"the":[3,14,52,55,72,77,104,128,132,136,168,171,178,192],"magnetic":[4,30,56],"field":[5,57],"has":[6],"been":[7],"a":[8,27,35,42,59,81,113,119,206,210,215],"proven":[9],"effective":[10],"method":[11,140],"to":[12,70,102,143,177],"change":[13],"flow":[15,20,38,78,219],"velocity":[16,79],"in":[17,34,202,214],"magnetohydrodynamics":[18],"(MHD)":[19],"systems.":[21,220],"In":[22],"this":[23,203],"paper,":[24],"we":[25],"consider":[26],"novel":[28],"bilinear":[29],"control":[31,53,64,138,212],"problem":[32,65,108,116,150],"arising":[33],"1-D":[36],"MHD":[37,218],"system":[39],"modeled":[40],"by":[41,110,118],"set":[43],"coupled":[45],"partial":[46],"differential":[47],"equations":[48],"(PDEs).":[49],"We":[50],"formulate":[51],"as":[58,160],"finite-time":[60],"PDE-constrained":[61],"dynamic":[62,133],"optimal":[63,147],"and":[66,95,123],"our":[67,195],"aim":[68],"is":[69,99,141,205],"realize":[71],"desired":[73],"stationary":[74],"state":[75,185],"at":[80],"specific":[82],"terminal":[83],"time.":[84],"A":[85],"model":[86],"order":[87],"reduction":[88],"technique,":[89],"based":[90],"on":[91],"proper":[92],"orthogonal":[93],"decomposition":[94],"Galerkin":[96],"projection":[97],"procedure,":[98],"first":[100],"adopted":[101],"approximate":[103,146],"original":[105],"complex":[106],"optimization":[107,157],"governed":[109,117],"PDEs":[111],"into":[112],"semi-discrete":[114],"approximation":[115],"low-dimensional":[120],"reduced-order":[121],"model,":[122],"therefore":[124],"can":[125,152],"efficiently":[126],"reduce":[127],"computational":[129,197],"burden":[130],"system.":[134],"Then,":[135],"piecewiselinear":[137],"parameterization":[139],"used":[142],"obtain":[144],"an":[145],"parameter":[148],"selection":[149],"that":[151],"be":[153],"solved":[154],"using":[155],"nonlinear":[156],"techniques":[158],"such":[159],"sequential":[161],"quadratic":[162],"programming.":[163],"exact":[165],"formulas":[166],"for":[167],"gradients":[169],"defined":[172],"cost":[173],"functional":[174],"with":[175],"respect":[176],"decision":[179],"parameters":[180],"are":[181],"analytically":[182],"derived":[183],"via":[184],"sensitivity":[186],"method.":[187,198],"Numerical":[188],"simulation":[189],"results":[190],"verify":[191],"effectiveness":[193],"proposed":[196,201],"methodology":[200],"paper":[204],"potential":[207],"implementation":[208],"real-time":[211],"strategy":[213],"number":[216]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
