{"id":"https://openalex.org/W2912851736","doi":"https://doi.org/10.1177/0959651818823450","title":"Geometrical design of fractional <i> PD <sup>\u03bc</sup> </i> controllers for linear time-invariant fractional-order systems with time delay","display_name":"Geometrical design of fractional <i> PD <sup>\u03bc</sup> </i> controllers for linear time-invariant fractional-order systems with time delay","publication_year":2019,"publication_date":"2019-01-22","ids":{"openalex":"https://openalex.org/W2912851736","doi":"https://doi.org/10.1177/0959651818823450","mag":"2912851736"},"language":"en","primary_location":{"id":"doi:10.1177/0959651818823450","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651818823450","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5027815058","display_name":"Adri\u00e1n-Josu\u00e9 Guel-Cortez","orcid":"https://orcid.org/0000-0002-9325-9956"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Adri\u00e1n Josu\u00e9 Guel-Cortez","raw_affiliation_strings":["Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032499606","display_name":"C\u00e9sar\u2010Fernando M\u00e9ndez\u2010Barrios","orcid":"https://orcid.org/0000-0002-1018-3192"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"C\u00e9sar-Fernando M\u00e9ndez-Barrios","raw_affiliation_strings":["Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-1018-3192","affiliations":[{"raw_affiliation_string":"Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057581775","display_name":"Emilio J. Gonz\u00e1lez-Galv\u00e1n","orcid":"https://orcid.org/0000-0002-5682-0070"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Emilio Jorge Gonz\u00e1lez-Galv\u00e1n","raw_affiliation_strings":["Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016015230","display_name":"Gilberto Mej\u00eda-Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-1959-2574"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gilberto Mej\u00eda-Rodr\u00edguez","raw_affiliation_strings":["Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090838617","display_name":"Liliana F\u00e9lix","orcid":"https://orcid.org/0000-0001-5642-5348"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Liliana F\u00e9lix","raw_affiliation_strings":["Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingeniera, Universidad Aut\u00f3noma de San Luis Potos\u00ed (UASLP), San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032499606"],"corresponding_institution_ids":["https://openalex.org/I196664497"],"apc_list":null,"apc_paid":null,"fwci":1.3138,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79982272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"233","issue":"7","first_page":"815","last_page":"829"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9984999895095825,"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":0.9833999872207642,"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/lti-system-theory","display_name":"LTI system theory","score":0.6813138127326965},{"id":"https://openalex.org/keywords/teleoperation","display_name":"Teleoperation","score":0.6589571237564087},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6394133567810059},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.6034650206565857},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.548826277256012},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5382521152496338},{"id":"https://openalex.org/keywords/test-bench","display_name":"Test bench","score":0.4757404327392578},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4241233766078949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42400527000427246},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41599828004837036},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.40119901299476624},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.39133167266845703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38526421785354614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.25901490449905396},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24852260947227478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11211207509040833}],"concepts":[{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.6813138127326965},{"id":"https://openalex.org/C161759796","wikidata":"https://www.wikidata.org/wiki/Q3982902","display_name":"Teleoperation","level":3,"score":0.6589571237564087},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6394133567810059},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.6034650206565857},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.548826277256012},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5382521152496338},{"id":"https://openalex.org/C2776266606","wikidata":"https://www.wikidata.org/wiki/Q476482","display_name":"Test bench","level":2,"score":0.4757404327392578},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4241233766078949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42400527000427246},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41599828004837036},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.40119901299476624},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.39133167266845703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38526421785354614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25901490449905396},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24852260947227478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11211207509040833},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651818823450","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651818823450","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1152063309","https://openalex.org/W1981860712","https://openalex.org/W2040469380","https://openalex.org/W2072816542","https://openalex.org/W2073017223","https://openalex.org/W2075114996","https://openalex.org/W2097290623","https://openalex.org/W2121097709","https://openalex.org/W2161706707","https://openalex.org/W2168670619","https://openalex.org/W2474788283","https://openalex.org/W2477921776","https://openalex.org/W2488201784","https://openalex.org/W2489930379","https://openalex.org/W2540877599","https://openalex.org/W2587550986","https://openalex.org/W2745324256","https://openalex.org/W2793577929","https://openalex.org/W2963735022","https://openalex.org/W4212878953","https://openalex.org/W4230674069","https://openalex.org/W4238545949","https://openalex.org/W4244306218","https://openalex.org/W4252126565"],"related_works":["https://openalex.org/W52595378","https://openalex.org/W2157347895","https://openalex.org/W2562803679","https://openalex.org/W2156757264","https://openalex.org/W2052648782","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W71690152","https://openalex.org/W1708373992","https://openalex.org/W2429002706"],"abstract_inverted_index":{"This":[0],"article":[1,94],"presents":[2],"a":[3,8,26,35,81,100],"simple":[4],"procedure":[5],"that":[6],"allows":[7],"practical":[9,40],"design":[10,43],"of":[11,52,72,76,92],"fractional":[12],"\u2013[Formula:":[13],"see":[14],"text]":[15],"controllers":[16,86],"for":[17],"single-input":[18],"single-output":[19],"linear":[20],"time-invariant":[21],"fractional-order":[22],"systems":[23],"subject":[24],"to":[25,42],"constant":[27],"time":[28],"delay.":[29],"The":[30,50],"methodology":[31],"is":[32,56],"based":[33],"on":[34],"geometric":[36],"approach,":[37],"which":[38],"provides":[39],"guidelines":[41],"stabilizing":[44],"and":[45],"non-fragile":[46],"PD":[47,78,83],"\u03bc":[48,79],"controllers.":[49],"simplicity":[51],"the":[53,65,70,74,77,90,93],"proposed":[54],"approach":[55],"illustrated":[57],"by":[58],"considering":[59],"several":[60],"numerical":[61],"examples":[62],"encountered":[63],"in":[64,95],"control":[66],"literature.":[67],"Moreover,":[68],"with":[69],"aim":[71],"showing":[73],"performance":[75],"over":[80],"classical":[82],"controller,":[84],"both":[85],"were":[87],"implemented":[88],"at":[89],"end":[91],"an":[96],"experimental":[97],"test-bench":[98],"consisting":[99],"teleoperated":[101],"robotic":[102],"system.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
