{"id":"https://openalex.org/W3046208960","doi":"https://doi.org/10.1109/access.2020.3012447","title":"Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs","display_name":"Radial Versus Cartesian Control Strategies to Stabilize the Nonlinear Whirling Motion of the Six-Pole Rotor-AMBs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3046208960","doi":"https://doi.org/10.1109/access.2020.3012447","mag":"3046208960"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3012447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3012447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09151120.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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://ieeexplore.ieee.org/ielx7/6287639/8948470/09151120.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079982787","display_name":"Nasser A. Saeed","orcid":"https://orcid.org/0000-0002-3275-2392"},"institutions":[{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Nasser A. Saeed","raw_affiliation_strings":["Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-3275-2392","affiliations":[{"raw_affiliation_string":"Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt","institution_ids":["https://openalex.org/I63601056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108971175","display_name":"Emad Mahrous Awwad","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Emad Mahrous Awwad","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia","Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-8115-4882","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt","institution_ids":["https://openalex.org/I63601056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008340413","display_name":"Mohammed A. El-Meligy","orcid":"https://orcid.org/0000-0001-7967-4259"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohammed A. El-Meligy","raw_affiliation_strings":["Advanced Manufacturing Institute, King Saud University, Riyadh, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-7967-4259","affiliations":[{"raw_affiliation_string":"Advanced Manufacturing Institute, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088907972","display_name":"Emad Abouel Nasr","orcid":"https://orcid.org/0000-0001-6967-7747"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]},{"id":"https://openalex.org/I84058292","display_name":"Helwan University","ror":"https://ror.org/00h55v928","country_code":"EG","type":"education","lineage":["https://openalex.org/I84058292"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Emad S. Abouel Nasr","raw_affiliation_strings":["Department of Industrial Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia","Department of Mechanical Engineering, Faculty of Engineering, Helwan University, Cairo, Egypt"],"raw_orcid":"https://orcid.org/0000-0001-6967-7747","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Faculty of Engineering, Helwan University, Cairo, Egypt","institution_ids":["https://openalex.org/I84058292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.6808,"has_fulltext":true,"cited_by_count":34,"citation_normalized_percentile":{"value":0.90076197,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"138859","last_page":"138883"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9990000128746033,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9990000128746033,"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":0.9948999881744385,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.7531012296676636},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7208490371704102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5994024872779846},{"id":"https://openalex.org/keywords/rotor","display_name":"Rotor (electric)","score":0.5763051509857178},{"id":"https://openalex.org/keywords/motion-control","display_name":"Motion control","score":0.4488990306854248},{"id":"https://openalex.org/keywords/magnetic-bearing","display_name":"Magnetic bearing","score":0.42021384835243225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37010467052459717},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36937129497528076},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3386794328689575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31119459867477417},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1040334403514862},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08811342716217041},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.07252511382102966}],"concepts":[{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.7531012296676636},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7208490371704102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5994024872779846},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.5763051509857178},{"id":"https://openalex.org/C145565327","wikidata":"https://www.wikidata.org/wiki/Q852514","display_name":"Motion control","level":3,"score":0.4488990306854248},{"id":"https://openalex.org/C153056533","wikidata":"https://www.wikidata.org/wiki/Q1587136","display_name":"Magnetic bearing","level":3,"score":0.42021384835243225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37010467052459717},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36937129497528076},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3386794328689575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31119459867477417},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1040334403514862},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08811342716217041},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.07252511382102966},{"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/access.2020.3012447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3012447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09151120.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a067138efd9946cf88e11836b8f3e027","is_oa":true,"landing_page_url":"https://doaj.org/article/a067138efd9946cf88e11836b8f3e027","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"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 8, Pp 138859-138883 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3012447","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3012447","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09151120.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4864931612","display_name":null,"funder_award_id":"RSP-2020/164","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046208960.pdf","grobid_xml":"https://content.openalex.org/works/W3046208960.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1533747042","https://openalex.org/W1964842811","https://openalex.org/W1967294691","https://openalex.org/W1994373619","https://openalex.org/W1999388315","https://openalex.org/W2002086559","https://openalex.org/W2010385450","https://openalex.org/W2011605616","https://openalex.org/W2018975834","https://openalex.org/W2058642877","https://openalex.org/W2080609970","https://openalex.org/W2083703934","https://openalex.org/W2091322077","https://openalex.org/W2093854608","https://openalex.org/W2128423400","https://openalex.org/W2333544159","https://openalex.org/W2495044936","https://openalex.org/W2528482864","https://openalex.org/W2590747499","https://openalex.org/W2591463562","https://openalex.org/W2607383646","https://openalex.org/W2732542221","https://openalex.org/W2737366722","https://openalex.org/W2744389758","https://openalex.org/W2765496041","https://openalex.org/W2792201216","https://openalex.org/W2945624971","https://openalex.org/W2950553809","https://openalex.org/W2965938644","https://openalex.org/W2969393163","https://openalex.org/W2970303232","https://openalex.org/W2975342059","https://openalex.org/W2988352425","https://openalex.org/W2999591514","https://openalex.org/W3027820889","https://openalex.org/W3036613661","https://openalex.org/W4231409469","https://openalex.org/W6653378509"],"related_works":["https://openalex.org/W2750840752","https://openalex.org/W2014200764","https://openalex.org/W1978450098","https://openalex.org/W3010835074","https://openalex.org/W2351162215","https://openalex.org/W2170442049","https://openalex.org/W2359520207","https://openalex.org/W2387134168","https://openalex.org/W2021718687","https://openalex.org/W2753906886"],"abstract_inverted_index":{"Rotor":[0],"active":[1,27],"magnetic":[2,28,65,99],"bearings":[3,29],"system":[4,30,45,174,235],"is":[5,59,70,93,104,224,231],"the":[6,20,24,32,43,49,63,74,81,97,111,118,127,152,156,172,184,212,218,227,234,238,248,260],"most":[7],"efficient":[8],"supporting":[9],"technique":[10,56],"of":[11,23,80,117],"high-speed":[12],"rotating":[13,82,119],"machinery.":[14],"This":[15],"work":[16],"aims":[17],"to":[18,41,72,106,109],"explore":[19],"dynamical":[21,133],"behaviors":[22],"6-pole":[25],"rotor":[26],"for":[31],"first":[33,54,185],"time.":[34],"Two":[35],"different":[36],"control":[37,55,89,129,161,186,214,229,240,250,262],"strategies":[38],"are":[39,135,149,193,209],"introduced":[40],"mitigate":[42],"considered":[44,173],"lateral":[46],"vibrations":[47],"and":[48,77,114,137,146,155,167,200,203],"corresponding":[50],"whirling":[51,180,190],"motions.":[52],"The":[53,87,163],"(Radial":[57],"control)":[58,92],"suggested":[60],"such":[61,95],"that":[62,85,96,171,226],"attractive":[64],"force":[66,100],"in":[67,101,121,211],"each":[68,102],"pole":[69,103],"proportional":[71,108],"both":[73,110,198],"radial":[75,78,228,261],"displacement":[76,113],"velocity":[79,116],"disk":[83,120,153,157,219,245,266],"toward":[84],"pole.":[86],"second":[88,213],"strategy":[90],"(Cartesian":[91],"proposed":[94,128],"controlled":[98],"designed":[105],"be":[107],"cartesian":[112,115,239,249],"two":[122,131],"perpendicular":[123],"directions.":[124],"Based":[125],"on":[126,217],"strategies,":[130],"nonlinear":[132],"models":[134],"derived":[136],"then":[138],"analyzed":[139],"by":[140],"applying":[141],"perturbation":[142],"methods.":[143],"Different":[144],"response-curves":[145],"bifurcation":[147,160],"diagrams":[148],"plotted":[150],"utilizing":[151],"spinning-speed":[154],"eccentricity":[158],"as":[159],"parameters.":[162],"main":[164],"obtained":[165],"analytical":[166],"numerical":[168],"results":[169],"illustrated":[170],"can":[175],"perform":[176],"a":[177,206,254],"circular":[178],"forward":[179,194,199],"motion":[181],"only":[182],"under":[183],"technique,":[187],"while":[188],"four":[189],"modes":[191],"(that":[192],"whirling,":[195,197,202],"backward":[196,201],"oscillation":[204],"along":[205],"straight":[207],"line)":[208],"noticed":[210],"method":[215,230,251],"depending":[216],"spinning":[220],"speed.":[221],"Moreover,":[222],"it":[223],"found":[225],"robust":[232],"against":[233],"instability":[236],"than":[237,259],"one,":[241],"especially":[242],"at":[243,264],"large":[244],"eccentricity.":[246,267],"However,":[247],"could":[252],"exhibit":[253],"vibration":[255],"suppression":[256],"efficiency":[257],"higher":[258],"one":[263],"small":[265]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}