{"id":"https://openalex.org/W1831610581","doi":"https://doi.org/10.1109/tii.2014.2322812","title":"On the Mixed &lt;inline-formula&gt;&lt;tex-math notation=\"TeX\"&gt;${{\\rm H}_2}/{{\\rm H}_\\infty }$&lt;/tex-math&gt;&lt;/inline-formula&gt; Loop-Shaping Tradeoffs in Fractional-Order Control of the AVR System","display_name":"On the Mixed &lt;inline-formula&gt;&lt;tex-math notation=\"TeX\"&gt;${{\\rm H}_2}/{{\\rm H}_\\infty }$&lt;/tex-math&gt;&lt;/inline-formula&gt; Loop-Shaping Tradeoffs in Fractional-Order Control of the AVR System","publication_year":2014,"publication_date":"2014-05-09","ids":{"openalex":"https://openalex.org/W1831610581","doi":"https://doi.org/10.1109/tii.2014.2322812","mag":"1831610581"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2014.2322812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2014.2322812","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Industrial Informatics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10871/31093","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074019305","display_name":"Saptarshi Das","orcid":"https://orcid.org/0000-0002-8394-5303"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Saptarshi Das","raw_affiliation_strings":["University of Southampton, Southampton, Hampshire, GB","UNIVERSITY OF SOUTHAMPTON (Southampton, Hampshire, GB)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southampton, Southampton, Hampshire, GB","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"UNIVERSITY OF SOUTHAMPTON (Southampton, Hampshire, GB)","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086827536","display_name":"Indranil Pan","orcid":"https://orcid.org/0000-0002-9624-5146"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Indranil Pan","raw_affiliation_strings":["Imperial College London, London, London, GB","[Imperial College London, London, London, GB]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London, London, London, GB","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"[Imperial College London, London, London, GB]","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0443,"has_fulltext":true,"cited_by_count":66,"citation_normalized_percentile":{"value":0.96996419,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"1982","last_page":"1991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9706000089645386,"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":0.9706000089645386,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.003700000001117587,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.0020000000949949026,"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":0.6962000131607056},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.6079866290092468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5994386672973633},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5076762437820435},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.4476388096809387},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38936808705329895},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21304169297218323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20712336897850037},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.2005581259727478},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18324440717697144},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.18323981761932373},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.13465026021003723}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6962000131607056},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6079866290092468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5994386672973633},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5076762437820435},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.4476388096809387},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38936808705329895},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21304169297218323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20712336897850037},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2005581259727478},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18324440717697144},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.18323981761932373},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.13465026021003723},{"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},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tii.2014.2322812","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2014.2322812","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Industrial Informatics","raw_type":"journal-article"},{"id":"pmh:oai:ore.exeter.ac.uk:10871/31093","is_oa":true,"landing_page_url":"http://hdl.handle.net/10871/31093","pdf_url":"http://hdl.handle.net/10871/31093","source":{"id":"https://openalex.org/S4306401998","display_name":"Open Research Exeter (University of Exeter)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I23923803","host_organization_name":"University of Exeter","host_organization_lineage":["https://openalex.org/I23923803"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1311.4224","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1311.4224","pdf_url":"https://arxiv.org/pdf/1311.4224","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:ore.exeter.ac.uk:10871/31093","is_oa":true,"landing_page_url":"http://hdl.handle.net/10871/31093","pdf_url":"http://hdl.handle.net/10871/31093","source":{"id":"https://openalex.org/S4306401998","display_name":"Open Research Exeter (University of Exeter)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I23923803","host_organization_name":"University of Exeter","host_organization_lineage":["https://openalex.org/I23923803"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1831610581.pdf","grobid_xml":"https://content.openalex.org/works/W1831610581.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W577449674","https://openalex.org/W1152063309","https://openalex.org/W1492868033","https://openalex.org/W1521699137","https://openalex.org/W1670140781","https://openalex.org/W1785296378","https://openalex.org/W1969313263","https://openalex.org/W1996583941","https://openalex.org/W2004975896","https://openalex.org/W2033816113","https://openalex.org/W2039267829","https://openalex.org/W2040384773","https://openalex.org/W2047696559","https://openalex.org/W2063032618","https://openalex.org/W2063409030","https://openalex.org/W2078886792","https://openalex.org/W2079890775","https://openalex.org/W2080489025","https://openalex.org/W2083816532","https://openalex.org/W2088723594","https://openalex.org/W2103599012","https://openalex.org/W2104965059","https://openalex.org/W2126105956","https://openalex.org/W2126535736","https://openalex.org/W2128095382","https://openalex.org/W2128656432","https://openalex.org/W2157347895","https://openalex.org/W2161377868","https://openalex.org/W2339825478","https://openalex.org/W2477921776","https://openalex.org/W2499622978","https://openalex.org/W2542674323","https://openalex.org/W2764796714","https://openalex.org/W3125893060","https://openalex.org/W4310936524"],"related_works":["https://openalex.org/W2002388147","https://openalex.org/W3098928304","https://openalex.org/W2394883510","https://openalex.org/W2150958483","https://openalex.org/W2922503265","https://openalex.org/W2023324176","https://openalex.org/W2121097709","https://openalex.org/W3097920840","https://openalex.org/W2167345368","https://openalex.org/W4321066958"],"abstract_inverted_index":{"This":[0],"paper":[1],"looks":[2],"at":[3],"frequency":[4],"domain":[5],"design":[6,49,64,136],"of":[7,25,55,83,107,133,140,143],"a":[8],"fractional-order":[9],"(FO)":[10],"proportional-integral":[11],"differential":[12],"(PID)":[13],"controller":[14,76,111,135],"for":[15,120],"an":[16,39,80,109],"automatic":[17],"voltage":[18],"regulator":[19],"(AVR)":[20],"system.":[21],"Various":[22],"performance":[23,52],"criteria":[24],"the":[26,68,95,100,113,126,138,141],"AVR":[27,144],"system":[28,32],"are":[29,35,79,118,123],"formulated":[30],"as":[31,67],"norms":[33],"and":[34,73,105,131],"then":[36],"coupled":[37],"with":[38],"evolutionary":[40],"multiobjective":[41],"optimization":[42],"(MOO)":[43],"algorithm":[44],"to":[45,93],"yield":[46],"Pareto":[47,101],"optimal":[48],"tradeoffs.":[50],"The":[51,103,129],"measures":[53],"consist":[54],"mixed":[56],"<inline-formula":[57],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[59],"notation=\"TeX\">${\\bf":[60],"H}_{\\bf":[61],"2}/{{\\bf":[62],"H}_\\infty}$</tex-math></inline-formula>":[63],"objectives,":[65],"such":[66],"set-point":[69],"tracking,":[70],"load":[71],"disturbance,":[72],"noise":[74],"rejection":[75],"effort,":[77],"which":[78,117],"exhaustive":[81],"set":[82],"conflicting":[84],"control":[85,145],"objectives.":[86],"A":[87],"fuzzy":[88],"logic-based":[89],"mechanism":[90],"is":[91,147],"used":[92],"identify":[94],"best":[96],"compromise":[97],"solution":[98],"on":[99],"fronts.":[102],"advantages":[104],"disadvantages":[106],"using":[108],"FOPID":[110],"over":[112],"conventional":[114],"PID":[115],"controller,":[116],"popular":[119],"industrial":[121],"use,":[122],"enunciated":[124],"from":[125,137],"presented":[127],"simulations.":[128],"relevance":[130],"impact":[132],"FO":[134],"perspective":[139],"dynamics":[142],"loop":[146],"also":[148],"discussed.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":8}],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2016-06-24T00:00:00"}
