{"id":"https://openalex.org/W2157248165","doi":"https://doi.org/10.1109/iccsce.2011.6190493","title":"Introduction to the nonlinear PI&lt;sup&gt;&amp;#x03BB;&lt;/sup&gt;D&lt;sup&gt;&amp;#x03BC;&lt;/sup&gt; control","display_name":"Introduction to the nonlinear PI&lt;sup&gt;&amp;#x03BB;&lt;/sup&gt;D&lt;sup&gt;&amp;#x03BC;&lt;/sup&gt; control","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2157248165","doi":"https://doi.org/10.1109/iccsce.2011.6190493","mag":"2157248165"},"language":"en","primary_location":{"id":"doi:10.1109/iccsce.2011.6190493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsce.2011.6190493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control System, Computing and Engineering","raw_type":"proceedings-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/A5038535309","display_name":"Farshad Merrikh\u2010Bayat","orcid":"https://orcid.org/0000-0003-1941-8055"},"institutions":[{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Farshad Merrikh-Bayat","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Zanjan, Zanjan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Zanjan, Zanjan, Iran","institution_ids":["https://openalex.org/I99861883"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004861468","display_name":"Nafiseh Mirebrahimi","orcid":null},"institutions":[{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Nafiseh Mirebrahimi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Zanjan, Iran, P.O.Box 313"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Zanjan, Iran, P.O.Box 313","institution_ids":["https://openalex.org/I99861883"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038535309"],"corresponding_institution_ids":["https://openalex.org/I99861883"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.16283652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"20","issue":null,"first_page":"43","last_page":"48"},"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9933000206947327,"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":0.9933000206947327,"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":0.9650192260742188},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8385471105575562},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6950393319129944},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.5497305393218994},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4342677593231201},{"id":"https://openalex.org/keywords/process-control","display_name":"Process control","score":0.43341299891471863},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41348177194595337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37205013632774353},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.3439808487892151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28246361017227173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2760283648967743},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.25548258423805237},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25004103779792786},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22376596927642822},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.17925244569778442},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05109789967536926}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.9650192260742188},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8385471105575562},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6950393319129944},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.5497305393218994},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4342677593231201},{"id":"https://openalex.org/C155386361","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process control","level":3,"score":0.43341299891471863},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41348177194595337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37205013632774353},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3439808487892151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28246361017227173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2760283648967743},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.25548258423805237},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25004103779792786},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22376596927642822},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.17925244569778442},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05109789967536926},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccsce.2011.6190493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsce.2011.6190493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control System, Computing and Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W633766628","https://openalex.org/W1521930889","https://openalex.org/W1669329236","https://openalex.org/W1969313263","https://openalex.org/W1971016874","https://openalex.org/W1981628221","https://openalex.org/W1999913367","https://openalex.org/W2011726581","https://openalex.org/W2015833613","https://openalex.org/W2040384773","https://openalex.org/W2047031989","https://openalex.org/W2085564737","https://openalex.org/W2106880431","https://openalex.org/W2109657764","https://openalex.org/W2109681010","https://openalex.org/W2111615339","https://openalex.org/W2112482256","https://openalex.org/W2116789770","https://openalex.org/W2122915307","https://openalex.org/W2124280092","https://openalex.org/W2125443829","https://openalex.org/W2126535736","https://openalex.org/W2132013226","https://openalex.org/W2135824355","https://openalex.org/W2138759776","https://openalex.org/W2138960759","https://openalex.org/W2147578878","https://openalex.org/W2150008208","https://openalex.org/W2157113526","https://openalex.org/W2157190583","https://openalex.org/W2161411167","https://openalex.org/W2166653309","https://openalex.org/W2171862257","https://openalex.org/W2394141506","https://openalex.org/W2787959293","https://openalex.org/W4248833943","https://openalex.org/W6631183635","https://openalex.org/W6637274065","https://openalex.org/W6677374893","https://openalex.org/W6678558406"],"related_works":["https://openalex.org/W2030762054","https://openalex.org/W3157618815","https://openalex.org/W2401345448","https://openalex.org/W255820224","https://openalex.org/W2002388147","https://openalex.org/W2598886702","https://openalex.org/W1494581972","https://openalex.org/W1482561480","https://openalex.org/W3212266838","https://openalex.org/W1027657725"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,17,20,27,34,60,64,67,74,80,97,105,110],"nonlinear":[4,18,94,98,113],"fractional-order":[5,21,116],"PID":[6,22,61,114,117],"(N-FO-PID)":[7],"controller,":[8],"which":[9,37],"can":[10],"be":[11],"considered":[12],"as":[13],"a":[14,46,85,91],"combination":[15],"of":[16,66,79],"and":[19,73,96,104,115],"controllers,":[23],"is":[24,31,71,102],"introduced":[25],"for":[26],"first":[28],"time.":[29],"It":[30],"shown":[32],"that":[33],"proposed":[35,68],"structure,":[36],"has":[38],"eight":[39],"parameters":[40,65],"to":[41,49,59,83],"tune,":[42],"provides":[43],"us":[44],"with":[45,93,109],"powerful":[47],"framework":[48],"control":[50,56,84],"complicated":[51],"processes":[52],"by":[53],"using":[54],"smaller":[55],"effort":[57],"compared":[58,108],"controllers.":[62,118],"Tuning":[63],"N-FO-PID":[69,81],"controller":[70,82],"discussed":[72],"challenges":[75],"are":[76,107],"presented.":[77],"Application":[78],"first-order":[86],"plus":[87],"time":[88],"delay":[89],"process,":[90],"process":[92],"valve":[95],"magnetic":[99],"levitation":[100],"system":[101],"studied":[103],"results":[106],"conventional":[111],"PID,":[112]},"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
