{"id":"https://openalex.org/W3205185132","doi":"https://doi.org/10.1080/00207179.2021.1992498","title":"Robust fractional-order [proportional integral derivative] controller design with specification constraints: more flat phase idea","display_name":"Robust fractional-order [proportional integral derivative] controller design with specification constraints: more flat phase idea","publication_year":2021,"publication_date":"2021-10-16","ids":{"openalex":"https://openalex.org/W3205185132","doi":"https://doi.org/10.1080/00207179.2021.1992498","mag":"3205185132"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2021.1992498","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2021.1992498","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5082338016","display_name":"Zhenlong Wu","orcid":"https://orcid.org/0000-0001-5730-5997"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenlong Wu","raw_affiliation_strings":["School of Electrical Engineering, Zhengzhou University, Zhengzhou, People\u2019s Republic of China","School of Electrical Engineering, Zhengzhou University, Zhengzhou, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-5730-5997","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Zhengzhou University, Zhengzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"School of Electrical Engineering, Zhengzhou University, Zhengzhou, People's Republic of China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010074487","display_name":"Jairo Viola","orcid":"https://orcid.org/0000-0003-2739-5383"},"institutions":[{"id":"https://openalex.org/I156087764","display_name":"University of California, Merced","ror":"https://ror.org/00d9ah105","country_code":"US","type":"education","lineage":["https://openalex.org/I156087764"]},{"id":"https://openalex.org/I4210145666","display_name":"Embedded Systems (United States)","ror":"https://ror.org/04742eh45","country_code":"US","type":"company","lineage":["https://openalex.org/I4210145666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jairo Viola","raw_affiliation_strings":["Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-2739-5383","affiliations":[{"raw_affiliation_string":"Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, CA, USA","institution_ids":["https://openalex.org/I156087764","https://openalex.org/I4210145666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057127971","display_name":"Ying Luo","orcid":"https://orcid.org/0000-0002-7006-2122"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Luo","raw_affiliation_strings":["School of Mechanical Science & Engineering, Huazhong University of Science and Technology, Wuhan, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-7006-2122","affiliations":[{"raw_affiliation_string":"School of Mechanical Science & Engineering, Huazhong University of Science and Technology, Wuhan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715957","display_name":"YangQuan Chen","orcid":"https://orcid.org/0000-0002-7422-5988"},"institutions":[{"id":"https://openalex.org/I156087764","display_name":"University of California, Merced","ror":"https://ror.org/00d9ah105","country_code":"US","type":"education","lineage":["https://openalex.org/I156087764"]},{"id":"https://openalex.org/I4210145666","display_name":"Embedded Systems (United States)","ror":"https://ror.org/04742eh45","country_code":"US","type":"company","lineage":["https://openalex.org/I4210145666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"YangQuan Chen","raw_affiliation_strings":["Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-7422-5988","affiliations":[{"raw_affiliation_string":"Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, CA, USA","institution_ids":["https://openalex.org/I156087764","https://openalex.org/I4210145666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100623259","display_name":"Donghai Li","orcid":"https://orcid.org/0000-0002-0833-8108"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donghai Li","raw_affiliation_strings":["State Key Lab of Power System, Department of Energy and Power Engineering, Tsinghua University, Beijing, People\u2019s Republic of China","State Key Lab of Power System, Department of Energy and Power Engineering, Tsinghua University, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Lab of Power System, Department of Energy and Power Engineering, Tsinghua University, Beijing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Lab of Power System, Department of Energy and Power Engineering, Tsinghua University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100715957"],"corresponding_institution_ids":["https://openalex.org/I156087764","https://openalex.org/I4210145666"],"apc_list":null,"apc_paid":null,"fwci":1.3037,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.78813113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"97","issue":"1","first_page":"111","last_page":"129"},"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9969000220298767,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9843000173568726,"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":0.9283324480056763},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8208833336830139},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6290968060493469},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5299777984619141},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.453744500875473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4122385084629059},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3680070638656616},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.29169246554374695},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20487064123153687},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20139217376708984},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.13627943396568298},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.10208135843276978}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.9283324480056763},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8208833336830139},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6290968060493469},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5299777984619141},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.453744500875473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4122385084629059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3680070638656616},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.29169246554374695},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20487064123153687},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20139217376708984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.13627943396568298},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.10208135843276978},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2021.1992498","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2021.1992498","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G1708546069","display_name":null,"funder_award_id":"212102311052","funder_id":"https://openalex.org/F4320326718","funder_display_name":"Science and Technology Department, Henan Province"}],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320326718","display_name":"Science and Technology Department, Henan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W203939894","https://openalex.org/W1001675591","https://openalex.org/W1587308833","https://openalex.org/W1605733579","https://openalex.org/W1806594405","https://openalex.org/W1975729054","https://openalex.org/W2002991999","https://openalex.org/W2008467787","https://openalex.org/W2030115233","https://openalex.org/W2033816113","https://openalex.org/W2050191410","https://openalex.org/W2050417267","https://openalex.org/W2052250649","https://openalex.org/W2056451972","https://openalex.org/W2063032618","https://openalex.org/W2063409030","https://openalex.org/W2070322168","https://openalex.org/W2084600389","https://openalex.org/W2086623830","https://openalex.org/W2093635856","https://openalex.org/W2121326575","https://openalex.org/W2126535736","https://openalex.org/W2149754660","https://openalex.org/W2165061237","https://openalex.org/W2167845466","https://openalex.org/W2168670619","https://openalex.org/W2291466473","https://openalex.org/W2509486024","https://openalex.org/W2525192018","https://openalex.org/W2562971264","https://openalex.org/W2586317137","https://openalex.org/W2596237935","https://openalex.org/W2747847616","https://openalex.org/W2754735612","https://openalex.org/W2756081486","https://openalex.org/W2793755894","https://openalex.org/W2808896746","https://openalex.org/W2886804961","https://openalex.org/W2889325931","https://openalex.org/W2896354786","https://openalex.org/W2899151895","https://openalex.org/W2908273030","https://openalex.org/W2915333505","https://openalex.org/W2922253678","https://openalex.org/W2931147900","https://openalex.org/W2953099693","https://openalex.org/W2954916131","https://openalex.org/W2955512661","https://openalex.org/W2964180654","https://openalex.org/W2968064849","https://openalex.org/W2979491090","https://openalex.org/W2993251522","https://openalex.org/W2997425871","https://openalex.org/W3004719192","https://openalex.org/W3012193333","https://openalex.org/W3033674212","https://openalex.org/W3035598490","https://openalex.org/W3036726664","https://openalex.org/W3126459070","https://openalex.org/W3137596026"],"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/W2167345368"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,33,62],"new":[4],"design":[5],"methodology":[6],"for":[7,16,32],"robust":[8],"fractional-order":[9,34],"controllers":[10],"with":[11,36,53,95,113],"more":[12],"than":[13],"three":[14],"parameters":[15],"first-order":[17],"plus":[18],"dead":[19],"time":[20],"systems":[21],"using":[22],"the":[23,27,46,50,54,69,81,88,91,96,110,120,123],"synthesis":[24,51,70],"scheme":[25,52,71],"of":[26,45,68,80,90,122],"\u2018more":[28,55,97],"flat":[29,56,98],"phase\u2019":[30,57,99],"idea":[31,58,100],"controller":[35,48,83,93,115],"[proportional":[37],"integral":[38],"derivative]":[39],"(FO[PID])":[40],"structure.":[41],"The":[42,65,75],"stability":[43],"region":[44],"FO[PID]":[47,82,92,114],"and":[49,77,106],"are":[59,72,84],"illustrated":[60],"through":[61],"simulation":[63],"example.":[64],"corresponding":[66],"pseudo-codes":[67],"also":[73,85],"summarised.":[74],"implementation":[76],"approximation":[78],"error":[79],"discussed.":[86],"Likewise,":[87],"superiority":[89],"designed":[94],"is":[101,116],"verified":[102],"by":[103],"additional":[104],"simulations":[105],"experimental":[107],"results":[108,131],"where":[109],"closed-loop":[111],"system":[112],"not":[117],"sensitive":[118],"to":[119],"variations":[121],"loop":[124],"gain,":[125],"ensuring":[126],"satisfactory":[127],"control":[128],"performance.":[129],"Obtained":[130],"show":[132],"high":[133],"potential":[134],"in":[135],"practical":[136],"industrial":[137],"applications.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}