{"id":"https://openalex.org/W3028384719","doi":"https://doi.org/10.1109/access.2020.2996265","title":"Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode\u2019s Ideal Transfer Function","display_name":"Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode\u2019s Ideal Transfer Function","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3028384719","doi":"https://doi.org/10.1109/access.2020.2996265","mag":"3028384719"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2996265","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09097845.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_indexed_in_scopus":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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09097845.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062413994","display_name":"Zhuo\u2010Yun Nie","orcid":"https://orcid.org/0000-0002-5980-3268"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"funder","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nie Zhuo-Yun","raw_affiliation_strings":["School of Information Science and Engineering, National Huaqiao University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, National Huaqiao University, Xiamen, China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101623958","display_name":"Yimin Zheng","orcid":"https://orcid.org/0000-0001-7597-3673"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"funder","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Yi-Min","raw_affiliation_strings":["School of Information Science and Engineering, National Huaqiao University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, National Huaqiao University, Xiamen, China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100682407","display_name":"Qing\u2010Guo Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I24027795","display_name":"University of Johannesburg","ror":"https://ror.org/04z6c2n17","country_code":"ZA","type":"funder","lineage":["https://openalex.org/I24027795"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Wang Qing-Guo","raw_affiliation_strings":["Institute of intelligent system, University of Johannesburg, Johannesburg, South Africa"],"affiliations":[{"raw_affiliation_string":"Institute of intelligent system, University of Johannesburg, Johannesburg, South Africa","institution_ids":["https://openalex.org/I24027795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083746100","display_name":"Ruijuan Liu","orcid":"https://orcid.org/0000-0003-4901-3841"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"funder","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Rui-Juan","raw_affiliation_strings":["School of Applied Mathematics, Xiamen University of Technology, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Xiamen University of Technology, Xiamen, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101563427","display_name":"Leijun Xiang","orcid":"https://orcid.org/0000-0003-1818-9369"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"funder","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang Lei-Jun","raw_affiliation_strings":["School of Information Science and Engineering, National Huaqiao University, Xiamen, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, National Huaqiao University, Xiamen, China","institution_ids":["https://openalex.org/I119045251"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"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":4.323,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":41,"citation_normalized_percentile":{"value":0.999951,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"103500","last_page":"103510"},"is_retracted":false,"is_paratext":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":0.9969,"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":0.9942,"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/bode-plot","display_name":"Bode plot","score":0.55332476}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.82926106},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6910431},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.67930377},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5878273},{"id":"https://openalex.org/C92487091","wikidata":"https://www.wikidata.org/wiki/Q245627","display_name":"Bode plot","level":3,"score":0.55332476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4360502},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.42262727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3621341},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.21528968},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12462109},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.06295401},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2996265","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09097845.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_indexed_in_scopus":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},{"is_oa":false,"landing_page_url":"https://doaj.org/article/f8955a2eed6545a4bb07697bdb5e0f4c","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":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2996265","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09097845.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_indexed_in_scopus":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},"sustainable_development_goals":[{"score":0.4,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"grants":[{"funder":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province","award_id":"2019J01053"},{"funder":"https://openalex.org/F4320322182","funder_display_name":"Huaqiao University","award_id":"ZQNPY408"},{"funder":"https://openalex.org/F4320322182","funder_display_name":"Huaqiao University","award_id":"Z14Y0002"}],"datasets":[],"versions":[],"referenced_works_count":44,"referenced_works":["https://openalex.org/W1126084485","https://openalex.org/W1969313263","https://openalex.org/W1993046342","https://openalex.org/W1996821618","https://openalex.org/W2009994020","https://openalex.org/W2030115233","https://openalex.org/W2031004490","https://openalex.org/W2033177809","https://openalex.org/W2033816113","https://openalex.org/W2037975863","https://openalex.org/W2040011753","https://openalex.org/W2042982420","https://openalex.org/W2046860204","https://openalex.org/W2048441322","https://openalex.org/W2050372097","https://openalex.org/W2054431258","https://openalex.org/W2061898553","https://openalex.org/W2063409030","https://openalex.org/W2082791404","https://openalex.org/W2086623830","https://openalex.org/W2101918532","https://openalex.org/W2122906162","https://openalex.org/W2126535736","https://openalex.org/W2161411167","https://openalex.org/W2165061237","https://openalex.org/W2166653309","https://openalex.org/W2167780257","https://openalex.org/W2168670619","https://openalex.org/W2277055094","https://openalex.org/W2338269672","https://openalex.org/W2391033215","https://openalex.org/W2486138763","https://openalex.org/W2520615465","https://openalex.org/W2526795042","https://openalex.org/W2560834960","https://openalex.org/W2589233479","https://openalex.org/W2591139515","https://openalex.org/W2893060523","https://openalex.org/W2913359353","https://openalex.org/W2963641381","https://openalex.org/W2964180654","https://openalex.org/W2997890878","https://openalex.org/W2998730019","https://openalex.org/W63155769"],"related_works":["https://openalex.org/W2581633176","https://openalex.org/W2524848113","https://openalex.org/W2374189887","https://openalex.org/W2244252848","https://openalex.org/W2117923351","https://openalex.org/W2057655484","https://openalex.org/W2047102041","https://openalex.org/W1971431742","https://openalex.org/W1823360246","https://openalex.org/W18072180"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,7,73],"design":[4,53,94],"method":[5],"for":[6,13,34],"robust":[8],"fractional-order":[9],"PID":[10],"(FOPID)":[11],"controller":[12,93],"time-delay":[14,27],"systems.":[15],"A":[16],"new":[17],"Bode's":[18,36],"ideal":[19],"transfer":[20],"function":[21],"is":[22,32,83,95],"introduced":[23],"to":[24,45,63,97,113],"tolerance":[25],"the":[26,35,47,66,77,81,90,115,118],"in":[28,38,65],"loop.":[29],"Robust":[30],"stability":[31],"analyzed":[33],"model":[37,75],"terms":[39],"of":[40,117],"gain":[41],"and":[42,76,99],"phase":[43],"margins":[44],"help":[46],"parameter":[48],"tuning.":[49],"To":[50],"simplify":[51],"FOPID":[52,92],"from":[54],"solving":[55],"nonlinear":[56],"equations,":[57],"five":[58],"unknown":[59],"parameters":[60],"are":[61,111],"reduced":[62],"one":[64],"Bode":[67],"shaping":[68],"by":[69,86,103],"data":[70],"fitting":[71],"between":[72],"parametric":[74],"real":[78],"plant.":[79],"Then,":[80],"problem":[82],"simply":[84],"solved":[85],"one-dimensional":[87],"searching.":[88],"Furthermore,":[89],"proposed":[91,119],"extended":[96],"multi-input":[98],"multi-output":[100],"(MIMO)":[101],"systems":[102],"using":[104],"disturbance":[105],"observer":[106],"(DOB).":[107],"Finally,":[108],"simulation":[109],"results":[110],"presented":[112],"show":[114],"effectiveness":[116],"method.":[120]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3028384719","counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1}],"updated_date":"2025-05-03T11:39:28.693646","created_date":"2020-05-29"}