{"id":"https://openalex.org/W4404483914","doi":"https://doi.org/10.3390/sym16111543","title":"Application of a Fractional Order PI Controller for a Speed Servo Drive Control","display_name":"Application of a Fractional Order PI Controller for a Speed Servo Drive Control","publication_year":2024,"publication_date":"2024-11-18","ids":{"openalex":"https://openalex.org/W4404483914","doi":"https://doi.org/10.3390/sym16111543"},"language":"en","primary_location":{"id":"doi:10.3390/sym16111543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111543","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1543/pdf?version=1731942653","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/11/1543/pdf?version=1731942653","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014688385","display_name":"Pavol Bist\u00e1k","orcid":"https://orcid.org/0000-0002-1167-1681"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Pavol Bistak","raw_affiliation_strings":["Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"],"raw_orcid":"https://orcid.org/0000-0002-1167-1681","affiliations":[{"raw_affiliation_string":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063832168","display_name":"Igor B\u00e9lai","orcid":"https://orcid.org/0000-0001-6259-4965"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Igor B\u00e9lai","raw_affiliation_strings":["Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"],"raw_orcid":"https://orcid.org/0000-0001-6259-4965","affiliations":[{"raw_affiliation_string":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063832168","display_name":"Igor B\u00e9lai","orcid":"https://orcid.org/0000-0001-6259-4965"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Igor B\u00e9lai","raw_affiliation_strings":["Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022055655","display_name":"Damir Vran\u010di\u0107","orcid":"https://orcid.org/0000-0001-8110-8985"},"institutions":[{"id":"https://openalex.org/I3006985408","display_name":"Jo\u017eef Stefan Institute","ror":"https://ror.org/05060sz93","country_code":"SI","type":"facility","lineage":["https://openalex.org/I3006985408"]},{"id":"https://openalex.org/I4210088608","display_name":"Higher Education Centre Novo Mesto","ror":"https://ror.org/00ak23720","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210088608"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Damir Vrancic","raw_affiliation_strings":["Department of Systems and Control, Jozef Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia","Faculty of Industrial Engineering Novo mesto, \u0160egova ulica 112, 8000 Novo mesto, Slovenia"],"raw_orcid":"https://orcid.org/0000-0001-8110-8985","affiliations":[{"raw_affiliation_string":"Department of Systems and Control, Jozef Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia","institution_ids":["https://openalex.org/I3006985408"]},{"raw_affiliation_string":"Faculty of Industrial Engineering Novo mesto, \u0160egova ulica 112, 8000 Novo mesto, Slovenia","institution_ids":["https://openalex.org/I4210088608"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087704819","display_name":"Mikul\u00e1\u0161 Huba","orcid":"https://orcid.org/0000-0003-4957-1894"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Mikulas Huba","raw_affiliation_strings":["Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"],"raw_orcid":"https://orcid.org/0000-0003-4957-1894","affiliations":[{"raw_affiliation_string":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5014688385"],"corresponding_institution_ids":["https://openalex.org/I110757952"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9466,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76679472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"16","issue":"11","first_page":"1543","last_page":"1543"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":1.0,"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":1.0,"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":0.998199999332428,"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":0.9979000091552734,"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/control-theory","display_name":"Control theory (sociology)","score":0.8769709467887878},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6536206603050232},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6421408653259277},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.6093087196350098},{"id":"https://openalex.org/keywords/electronic-speed-control","display_name":"Electronic speed control","score":0.4609025716781616},{"id":"https://openalex.org/keywords/torque","display_name":"Torque","score":0.45830607414245605},{"id":"https://openalex.org/keywords/servo","display_name":"Servo","score":0.45749765634536743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39656490087509155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3683156371116638},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.20015722513198853},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15426847338676453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14791348576545715},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11354559659957886},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.08267626166343689}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8769709467887878},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6536206603050232},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6421408653259277},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6093087196350098},{"id":"https://openalex.org/C45641319","wikidata":"https://www.wikidata.org/wiki/Q550768","display_name":"Electronic speed control","level":2,"score":0.4609025716781616},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.45830607414245605},{"id":"https://openalex.org/C107354338","wikidata":"https://www.wikidata.org/wiki/Q1937153","display_name":"Servo","level":2,"score":0.45749765634536743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39656490087509155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3683156371116638},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.20015722513198853},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15426847338676453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14791348576545715},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11354559659957886},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.08267626166343689},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym16111543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111543","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1543/pdf?version=1731942653","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d202b1a443d340d49af7bc8f727d48de","is_oa":true,"landing_page_url":"https://doaj.org/article/d202b1a443d340d49af7bc8f727d48de","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 11, p 1543 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16111543","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16111543","pdf_url":"https://www.mdpi.com/2073-8994/16/11/1543/pdf?version=1731942653","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4909796017","display_name":null,"funder_award_id":"L2-3166","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"},{"id":"https://openalex.org/G5050174703","display_name":null,"funder_award_id":"P2-0001","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404483914.pdf"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1969313263","https://openalex.org/W1975497283","https://openalex.org/W1985785180","https://openalex.org/W1993680495","https://openalex.org/W2014217010","https://openalex.org/W2047378088","https://openalex.org/W2161411167","https://openalex.org/W2329745226","https://openalex.org/W2474788283","https://openalex.org/W2476785513","https://openalex.org/W2577845086","https://openalex.org/W2591139515","https://openalex.org/W2809622517","https://openalex.org/W2903290490","https://openalex.org/W2909945725","https://openalex.org/W2931147900","https://openalex.org/W2975592929","https://openalex.org/W2983337038","https://openalex.org/W3026720552","https://openalex.org/W3086540190","https://openalex.org/W3106521411","https://openalex.org/W4210993604","https://openalex.org/W4226225495","https://openalex.org/W4293027867","https://openalex.org/W4293079537","https://openalex.org/W4386075376","https://openalex.org/W4387514173","https://openalex.org/W4395045884"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2081322886","https://openalex.org/W2380425739","https://openalex.org/W2002388147","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W3098928304","https://openalex.org/W2027541371","https://openalex.org/W2170700681"],"abstract_inverted_index":{"This":[0,76,178],"paper":[1],"deals":[2],"with":[3,126,141],"the":[4,7,15,25,39,46,53,62,69,79,92,104,137,144,158,161,165],"tuning":[5,61,100,131],"of":[6,9,18,85,143,160],"parameters":[8,35,58,81],"a":[10,30,83,95,122,154,170,181,190,195],"fractional-order":[11],"PI":[12,115,146,176],"controller":[13,34,63,99,116],"for":[14,60,103],"speed":[16],"control":[17,106,171,192],"an":[19,174],"electric":[20],"servo":[21,124,197],"drive":[22,125],"in":[23,73,87,157,180,194],"which":[24],"torque":[26,31,187],"is":[27,50,101],"set":[28,84],"by":[29,52],"generator.":[32],"The":[33,56,98,109,129],"are":[36,66],"tuned":[37],"using":[38,64,68,173],"multiple":[40],"dominant":[41],"pole":[42],"method":[43],"(MDPM),":[44],"while":[45],"fractional":[47,113],"order":[48,114],"integrator":[49],"approximated":[51],"Oustaloup":[54],"method.":[55],"input":[57],"required":[59],"MDPM":[65],"calculated":[67],"optimization":[70],"algorithm":[71,77],"presented":[72],"this":[74],"paper.":[75],"selects":[78],"optimal":[80],"from":[82],"points":[86],"three-dimensional":[88],"space,":[89],"based":[90],"on":[91],"symmetry":[93],"around":[94],"central":[96],"point.":[97],"performed":[102],"normalized":[105,112],"loop":[107,172],"model.":[108],"obtained":[110,138],"optimized":[111],"can":[117],"then":[118],"be":[119],"applied":[120],"to":[121,169,185],"real":[123,196],"specific":[127],"parameters.":[128],"proposed":[130],"was":[132],"also":[133],"verified":[134],"experimentally,":[135],"comparing":[136],"closed-loop":[139],"responses":[140],"those":[142],"integer-order":[145,175],"controller.":[147,177],"Both":[148],"simulation":[149],"and":[150,189],"experimental":[151],"results":[152,179],"showed":[153],"significant":[155],"reduction":[156],"integral":[159],"absolute":[162],"error":[163,193],"at":[164],"disturbance":[166],"step":[167],"compared":[168],"faster":[182],"output":[183],"response":[184],"load":[186],"steps":[188],"smaller":[191],"drive.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
