{"id":"https://openalex.org/W2657933067","doi":"https://doi.org/10.1109/lcsys.2017.2717932","title":"Nonlinear Optimal Control Design Considering a Class of System Constraints With Validation on a Magnetic Levitation System","display_name":"Nonlinear Optimal Control Design Considering a Class of System Constraints With Validation on a Magnetic Levitation System","publication_year":2017,"publication_date":"2017-06-21","ids":{"openalex":"https://openalex.org/W2657933067","doi":"https://doi.org/10.1109/lcsys.2017.2717932","mag":"2657933067"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2017.2717932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2017.2717932","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5087479883","display_name":"Anh Tran","orcid":"https://orcid.org/0000-0001-9018-7419"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Anh Tuan Tran","raw_affiliation_strings":["Department of Aerospace Engineering, Nagoya University, Chikusa-ku, Japan"],"raw_orcid":"https://orcid.org/0000-0001-9018-7419","affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, Nagoya University, Chikusa-ku, Japan","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112313704","display_name":"Shogo Suzuki","orcid":null},"institutions":[{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shogo Suzuki","raw_affiliation_strings":["Department of Mechatronics, Nanzan University, Showa-ku, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechatronics, Nanzan University, Showa-ku, Japan","institution_ids":["https://openalex.org/I119031078"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019495805","display_name":"Noboru Sakamoto","orcid":"https://orcid.org/0000-0002-4684-0297"},"institutions":[{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Noboru Sakamoto","raw_affiliation_strings":["Faculty of Science and Engineering, Nanzan University, Showa-ku, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Nanzan University, Showa-ku, Japan","institution_ids":["https://openalex.org/I119031078"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087479883"],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":null,"apc_paid":null,"fwci":2.8541,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.90944294,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"1","issue":"2","first_page":"418","last_page":"423"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9894999861717224,"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/T12763","display_name":"ATP Synthase and ATPases Research","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7584340572357178},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7017689943313599},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6817257404327393},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5927430391311646},{"id":"https://openalex.org/keywords/magnetic-levitation","display_name":"Magnetic levitation","score":0.5750709772109985},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5013654232025146},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4964216351509094},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4894498884677887},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.4758595824241638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4458483159542084},{"id":"https://openalex.org/keywords/levitation","display_name":"Levitation","score":0.41483980417251587},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41117507219314575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38559943437576294},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3278929591178894},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2911418676376343},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22844699025154114},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18171751499176025},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.1657836139202118},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.154165118932724},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12397044897079468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08492690324783325},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.06532227993011475}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7584340572357178},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7017689943313599},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6817257404327393},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5927430391311646},{"id":"https://openalex.org/C206736587","wikidata":"https://www.wikidata.org/wiki/Q1061251","display_name":"Magnetic levitation","level":3,"score":0.5750709772109985},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5013654232025146},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4964216351509094},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4894498884677887},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.4758595824241638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4458483159542084},{"id":"https://openalex.org/C27838914","wikidata":"https://www.wikidata.org/wiki/Q740997","display_name":"Levitation","level":3,"score":0.41483980417251587},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41117507219314575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38559943437576294},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3278929591178894},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2911418676376343},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22844699025154114},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18171751499176025},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.1657836139202118},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.154165118932724},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12397044897079468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08492690324783325},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.06532227993011475},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2017.2717932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2017.2717932","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1631623342","https://openalex.org/W1980115416","https://openalex.org/W2076312345","https://openalex.org/W2080476943","https://openalex.org/W2084135896","https://openalex.org/W2109640889","https://openalex.org/W2112507254","https://openalex.org/W2113350382","https://openalex.org/W2131407609","https://openalex.org/W2134238491","https://openalex.org/W2152775880","https://openalex.org/W2213594914","https://openalex.org/W2569186580","https://openalex.org/W4210718478","https://openalex.org/W4214690803","https://openalex.org/W4293078920","https://openalex.org/W6645308989","https://openalex.org/W6671660509"],"related_works":["https://openalex.org/W2138863771","https://openalex.org/W2041773681","https://openalex.org/W2060464503","https://openalex.org/W2129058507","https://openalex.org/W2921649108","https://openalex.org/W585609564","https://openalex.org/W2166310978","https://openalex.org/W4306824842","https://openalex.org/W2132406900","https://openalex.org/W2531483689"],"abstract_inverted_index":{"In":[0],"this":[1,35,60],"letter,":[2],"based":[3],"on":[4,65,80],"the":[5,54,66,69,75,90,98],"theory":[6,17],"developed,":[7],"a":[8,27,39,63,81],"nonlinear":[9,92],"optimal":[10],"controller":[11,93],"is":[12,37,77,94],"designed":[13,70,91],"via":[14],"stable":[15],"manifold":[16],"making":[18],"use":[19],"of":[20,29,34,51,53,68,74],"Lagrange":[21],"multipliers":[22],"to":[23,44,96],"take":[24],"into":[25],"account":[26],"class":[28],"system":[30,42,56],"constraints.":[31],"A":[32],"feature":[33],"method":[36,76],"that":[38,89],"discontinuous":[40],"Hamiltonian":[41,55],"has":[43],"be":[45],"solved.":[46],"The":[47,72,86],"existence":[48],"and":[49],"uniqueness":[50],"solutions":[52],"are":[57],"proven":[58],"in":[59],"letter":[61],"with":[62,101],"discussion":[64],"stability":[67],"controller.":[71],"effectiveness":[73],"experimentally":[78],"validated":[79],"Quanser":[82],"magnetic":[83],"levitation":[84],"system.":[85],"result":[87],"shows":[88],"able":[95],"handle":[97],"acceleration":[99],"constraints":[100],"better":[102]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
