{"id":"https://openalex.org/W2001304845","doi":"https://doi.org/10.1109/tcst.2014.2382642","title":"Tuning Fractional-Order &lt;italic/&gt;&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;${PI}^{\\lambda } {D} ^{\\mu }$ &lt;/tex-math&gt;&lt;/inline-formula&gt; Controllers for a Solid-Core Magnetic Bearing System","display_name":"Tuning Fractional-Order &lt;italic/&gt;&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;${PI}^{\\lambda } {D} ^{\\mu }$ &lt;/tex-math&gt;&lt;/inline-formula&gt; Controllers for a Solid-Core Magnetic Bearing System","publication_year":2015,"publication_date":"2015-01-08","ids":{"openalex":"https://openalex.org/W2001304845","doi":"https://doi.org/10.1109/tcst.2014.2382642","mag":"2001304845"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2014.2382642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2014.2382642","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","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/A5069102912","display_name":"Jianpeng Zhong","orcid":"https://orcid.org/0000-0003-2750-9782"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianpeng Zhong","raw_affiliation_strings":["school of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of electrical engineering, Xi'an Jiaotong University,Xi'an,China"],"affiliations":[{"raw_affiliation_string":"school of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of electrical engineering, Xi'an Jiaotong University,Xi'an,China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071103289","display_name":"Lichuan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lichuan Li","raw_affiliation_strings":["school of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of electrical engineering, Xi'an Jiaotong University,Xi'an,China"],"affiliations":[{"raw_affiliation_string":"school of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of electrical engineering, Xi'an Jiaotong University,Xi'an,China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069102912"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":11.7811,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.9866875,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"23","issue":"4","first_page":"1648","last_page":"1656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9994000196456909,"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":0.9994000196456909,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9991999864578247,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49598249793052673},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.47222045063972473},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.471027672290802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37098217010498047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22312170267105103},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07277297973632812}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49598249793052673},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.47222045063972473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.471027672290802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37098217010498047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22312170267105103},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07277297973632812},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2014.2382642","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2014.2382642","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"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 Control Systems Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W155996040","https://openalex.org/W276737050","https://openalex.org/W348689928","https://openalex.org/W1969313263","https://openalex.org/W1978407679","https://openalex.org/W2033177809","https://openalex.org/W2038566438","https://openalex.org/W2047696559","https://openalex.org/W2080894244","https://openalex.org/W2085934232","https://openalex.org/W2116069189","https://openalex.org/W2125793838","https://openalex.org/W2126535736","https://openalex.org/W2147791558","https://openalex.org/W2149754660","https://openalex.org/W2152213664","https://openalex.org/W2157347895","https://openalex.org/W2165061237","https://openalex.org/W2168882942","https://openalex.org/W2334880655","https://openalex.org/W2477921776","https://openalex.org/W2495044936","https://openalex.org/W6644925022","https://openalex.org/W6684495787","https://openalex.org/W6702686627"],"related_works":["https://openalex.org/W2002388147","https://openalex.org/W2054384926","https://openalex.org/W2118359714","https://openalex.org/W2562957045","https://openalex.org/W2142041376","https://openalex.org/W2349492362","https://openalex.org/W4247778000","https://openalex.org/W2626380860","https://openalex.org/W2379336299","https://openalex.org/W4225007738"],"abstract_inverted_index":{"This":[0],"brief":[1],"presents":[2],"the":[3,37,52,61,117,123,137,141,168,186],"design":[4],"of":[5,35,82,129],"a":[6,80,87],"fractional-order":[7],"(FO)":[8],"PI":[9,39,91,143,170],"<sup":[10,14,40,44,92,96,144,148,171,175],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,15,41,45,93,97,145,149,172,176],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03bb</sup>":[12,42,94,146,173],"D":[13,43,95,147,174],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03bc</sup>":[16,46,98,150,177],"controller":[17,47,65,99,114,178,189],"and":[18,55,78,122,140,156,167],"its":[19],"application":[20],"to":[21],"stabilizing":[22],"an":[23,109],"FO":[24,38,90,142,169,192],"solid-core":[25],"magnetic":[26],"bearing":[27],"(MB)":[28],"system.":[29,194],"A":[30],"practical":[31],"numerical":[32],"search":[33],"method":[34,164],"designing":[36],"is":[48,100,120,131,165],"proposed.":[49],"By":[50],"presearching":[51],"orders":[53],"\u03bb":[54],"\u03bc":[56],"in":[57],"their":[58],"calculated":[59],"ranges,":[60],"remaining":[62],"three":[63,74],"undetermined":[64],"parameters":[66],"can":[67,179],"be":[68],"first":[69],"analytically":[70],"solved":[71],"based":[72,115],"on":[73,116],"given":[75],"basic":[76],"specifications,":[77],"thus,":[79],"series":[81],"controllers":[83,151],"are":[84,152],"obtained.":[85],"Then,":[86],"relative":[88],"optimal":[89],"achieved":[101],"by":[102,154],"evaluating":[103],"exact":[104],"performance":[105,134,184],"indexes.":[106],"In":[107],"addition,":[108],"integer":[110],"order":[111],"(IO)":[112],"PID":[113,139,188],"same":[118],"specifications":[119,130],"derived":[121],"corresponding":[124],"feasible":[125],"control":[126],"zone":[127],"consisting":[128],"calculated.":[132],"The":[133,158],"comparisons":[135],"between":[136],"IO":[138,187],"implemented":[153],"simulation":[155],"experiments.":[157],"results":[159],"show":[160],"that":[161],"this":[162,191],"tuning":[163],"effective,":[166],"achieve":[180],"more":[181],"favorable":[182],"dynamic":[183],"than":[185],"for":[190],"MB":[193]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":15}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
