{"id":"https://openalex.org/W3013270022","doi":"https://doi.org/10.1109/access.2020.2983059","title":"Design of an Optimal Fractional Order PID for Constant Tension Control System","display_name":"Design of an Optimal Fractional Order PID for Constant Tension Control System","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3013270022","doi":"https://doi.org/10.1109/access.2020.2983059","mag":"3013270022"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2983059","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2983059","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09046029.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/ielx7/6287639/8948470/09046029.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051110858","display_name":"Fanwei Meng","orcid":"https://orcid.org/0000-0001-6852-7173"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanwei Meng","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China"],"raw_orcid":"https://orcid.org/0000-0001-6852-7173","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100722660","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-8767-3851"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Liu","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China"],"raw_orcid":"https://orcid.org/0000-0002-8767-3851","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101546170","display_name":"Kai Liu","orcid":"https://orcid.org/0000-0002-5594-6798"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Liu","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China"],"raw_orcid":"https://orcid.org/0000-0002-5594-6798","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":3.6443,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.93165827,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"58933","last_page":"58939"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9950000047683716,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9943000078201294,"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/pid-controller","display_name":"PID controller","score":0.8485180139541626},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8316704034805298},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7856201529502869},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.568798303604126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5465067625045776},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4966908097267151},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.48513683676719666},{"id":"https://openalex.org/keywords/torque","display_name":"Torque","score":0.48240697383880615},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3658827245235443},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18632930517196655},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16175708174705505},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.1551826000213623},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07508552074432373}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.8485180139541626},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8316704034805298},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7856201529502869},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.568798303604126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5465067625045776},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4966908097267151},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.48513683676719666},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.48240697383880615},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3658827245235443},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18632930517196655},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16175708174705505},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.1551826000213623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07508552074432373},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2983059","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2983059","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09046029.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:bb2937cf933c4a15b86528488f7220d8","is_oa":true,"landing_page_url":"https://doaj.org/article/bb2937cf933c4a15b86528488f7220d8","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 58933-58939 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2983059","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2983059","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09046029.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":[{"score":0.5600000023841858,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[{"id":"https://openalex.org/G2142743715","display_name":null,"funder_award_id":"F2019501012","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7969043567","display_name":null,"funder_award_id":"F2019501012","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G8666366884","display_name":null,"funder_award_id":"N182304010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3013270022.pdf","grobid_xml":"https://content.openalex.org/works/W3013270022.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1600950487","https://openalex.org/W1849812036","https://openalex.org/W1927304791","https://openalex.org/W2001194386","https://openalex.org/W2067135933","https://openalex.org/W2075577126","https://openalex.org/W2087232315","https://openalex.org/W2119895759","https://openalex.org/W2126535736","https://openalex.org/W2149754660","https://openalex.org/W2166486522","https://openalex.org/W2168882942","https://openalex.org/W2477921776","https://openalex.org/W2787959293","https://openalex.org/W2809219839","https://openalex.org/W6650678086","https://openalex.org/W6677982474","https://openalex.org/W6684495787"],"related_works":["https://openalex.org/W2002388147","https://openalex.org/W3098928304","https://openalex.org/W2394883510","https://openalex.org/W2023324176","https://openalex.org/W2150958483","https://openalex.org/W2922503265","https://openalex.org/W3097920840","https://openalex.org/W2165013373","https://openalex.org/W3212795132","https://openalex.org/W1787078821"],"abstract_inverted_index":{"Winding":[0],"system":[1,5,21],"is":[2,13,42,80,92,142],"a":[3,64,76,89],"production":[4],"commonly":[6],"used":[7],"in":[8,33],"industry.":[9],"Its":[10],"control":[11,18,65,73,86,159],"goal":[12],"to":[14,27,58,70],"achieve":[15,71],"constant":[16,84],"tension":[17,85],"of":[19,105,118,135,139],"the":[20,72,83,96,106,112,133,137,140,145,154],"by":[22,122],"controlling":[23],"motor":[24],"torque,":[25],"and":[26,101,161],"cope":[28],"with":[29,48,56,127,144],"various":[30],"external":[31],"disturbances":[32],"industrial":[34],"environment.":[35],"The":[36,150],"Fractional":[37],"Order":[38],"PID":[39],"(FOPID)":[40],"controller":[41,91,107,141,156],"well":[43,53],"known":[44],"for":[45,82],"its":[46],"simplicity":[47],"better":[49,158],"tuning":[50],"flexibility":[51],"as":[52,54],"robustness":[55],"respect":[57],"disturbances.":[59],"Thus,":[60],"this":[61],"paper":[62],"proposes":[63],"strategy":[66],"based":[67,94,110],"on":[68,95,111],"FOPID":[69,90,119,155],"objectives.":[74],"First,":[75],"linear":[77],"approximation":[78],"model":[79],"established":[81],"system.":[87],"Then,":[88],"designed":[93],"model.":[97],"Four":[98],"non-linear":[99,129],"constraints":[100],"an":[102],"objective":[103],"function":[104],"are":[108,120],"proposed":[109],"frequency":[113],"domain.":[114],"Five":[115],"tunable":[116],"parameters":[117],"determined":[121],"combining":[123],"genetic":[124],"algorithm":[125],"(GA)":[126],"FMINCON":[128],"optimization.":[130],"Finally,":[131],"through":[132],"simulation":[134],"MATLAB,":[136],"performance":[138],"compared":[143],"classic":[146],"integer":[147],"order":[148],"PID.":[149],"results":[151],"show":[152],"that":[153],"has":[157],"characteristics":[160],"robustness.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
