{"id":"https://openalex.org/W2056091422","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891830","title":"The simplest interval type-2 fuzzy PID controller: Structural analysis","display_name":"The simplest interval type-2 fuzzy PID controller: Structural analysis","publication_year":2014,"publication_date":"2014-07-01","ids":{"openalex":"https://openalex.org/W2056091422","doi":"https://doi.org/10.1109/fuzz-ieee.2014.6891830","mag":"2056091422"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2014.6891830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5006987704","display_name":"Ahmet Sakalli","orcid":null},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ahmet Sakalli","raw_affiliation_strings":["Istanbul Teknik Universitesi, Istanbul, TR","Control and Automation Engineering Department, Istanbul Technical University"],"affiliations":[{"raw_affiliation_string":"Istanbul Teknik Universitesi, Istanbul, TR","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"Control and Automation Engineering Department, Istanbul Technical University","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010725194","display_name":"Tufan Kumbasar","orcid":"https://orcid.org/0000-0001-9366-0240"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Tufan Kumbasar","raw_affiliation_strings":["Control and Automation Engineering Department, Istanbul Technical University"],"affiliations":[{"raw_affiliation_string":"Control and Automation Engineering Department, Istanbul Technical University","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036836877","display_name":"M. Furkan Dodurka","orcid":null},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"M. Furkan Dodurka","raw_affiliation_strings":["Control and Automation Engineering Department, Istanbul Technical University"],"affiliations":[{"raw_affiliation_string":"Control and Automation Engineering Department, Istanbul Technical University","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061375815","display_name":"Engin Ye\u015fil","orcid":"https://orcid.org/0000-0002-1808-1019"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Engin Yesil","raw_affiliation_strings":["Control and Automation Engineering Department, Istanbul Technical University"],"affiliations":[{"raw_affiliation_string":"Control and Automation Engineering Department, Istanbul Technical University","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006987704"],"corresponding_institution_ids":["https://openalex.org/I48912391"],"apc_list":null,"apc_paid":null,"fwci":1.2704,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85171878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"626","last_page":"633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9998999834060669,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9886000156402588,"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/T10320","display_name":"Neural Networks and Applications","score":0.9854000210762024,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7528455257415771},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6924551725387573},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.6822128295898438},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5149286985397339},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.471251517534256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4666098952293396},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.45730024576187134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41798123717308044},{"id":"https://openalex.org/keywords/antecedent","display_name":"Antecedent (behavioral psychology)","score":0.41600221395492554},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.25812727212905884},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25229519605636597},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.21199819445610046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19942399859428406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16438791155815125},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11169269680976868},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08109408617019653}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7528455257415771},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6924551725387573},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6822128295898438},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5149286985397339},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.471251517534256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4666098952293396},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.45730024576187134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41798123717308044},{"id":"https://openalex.org/C2781256819","wikidata":"https://www.wikidata.org/wiki/Q16828835","display_name":"Antecedent (behavioral psychology)","level":2,"score":0.41600221395492554},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.25812727212905884},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25229519605636597},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.21199819445610046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19942399859428406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16438791155815125},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11169269680976868},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08109408617019653},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2014.6891830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2014.6891830","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:polen.itu.edu.tr:11527/58899","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/58899","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1500845986","https://openalex.org/W1964569793","https://openalex.org/W1969833484","https://openalex.org/W1983658296","https://openalex.org/W1992625160","https://openalex.org/W2001844031","https://openalex.org/W2026533250","https://openalex.org/W2043792182","https://openalex.org/W2055727581","https://openalex.org/W2079448784","https://openalex.org/W2086703937","https://openalex.org/W2103232511","https://openalex.org/W2116046819","https://openalex.org/W2125223024","https://openalex.org/W2125631815","https://openalex.org/W2131588967","https://openalex.org/W2141178894","https://openalex.org/W2145416734","https://openalex.org/W2147708960","https://openalex.org/W2158091284","https://openalex.org/W2162706466","https://openalex.org/W2169230532","https://openalex.org/W6684961301"],"related_works":["https://openalex.org/W2478582891","https://openalex.org/W2107728149","https://openalex.org/W2360806008","https://openalex.org/W2203872009","https://openalex.org/W3157556506","https://openalex.org/W2157900495","https://openalex.org/W2018105956","https://openalex.org/W2501695166","https://openalex.org/W2110194378","https://openalex.org/W1969410700"],"abstract_inverted_index":{"In":[0,156],"this":[1],"paper,":[2],"we":[3,27,162],"will":[4,28,84],"present":[5],"analytical":[6,89],"derivations":[7],"of":[8,22,37,49,54,62,91,136,139,147,159],"the":[9,11,38,47,50,55,63,68,79,87,92,97,101,110,124,129,137,140,145,148,157,160,170],"simplest":[10,80,93,111,130],"Interval":[12],"Type-2":[13],"Fuzzy":[14],"PID":[15,121],"(IT2-FPID)":[16],"controller":[17,95,113,122,132],"output":[18,133],"which":[19],"is":[20,114],"composed":[21],"only":[23,73],"4":[24],"rules.":[25],"Thus,":[26],"first":[29],"propose":[30],"a":[31,119,164],"new":[32],"visualizing":[33],"method":[34],"called":[35],"Surface":[36],"Switching":[39,51],"Points":[40,52],"(S-MAP)":[41],"in":[42,115,134],"order":[43],"to":[44,118,168],"better":[45],"analyze":[46],"derivation":[48,90],"(SPs)":[53],"Karnik-Mendel":[56],"algorithms.":[57],"We":[58,83,106,127,143],"presented":[59,128,163],"mathematical":[60],"explanation":[61],"S-MAP":[64],"and":[65,104,173],"showed":[66],"that":[67,109],"SPs":[69],"are":[70],"determined":[71],"by":[72],"two":[74],"Boundary":[75],"Functions":[76],"(BFs)":[77],"for":[78],"IT2-FPID":[81,94,112,131,152],"controller.":[82],"then":[85],"give":[86],"simplified":[88],"around":[96,123],"steady":[98,125],"state":[99,172],"via":[100],"employed":[102],"BFs":[103],"S-MAP.":[105],"have":[107],"illustrated":[108],"fact":[116],"analogous":[117],"conventional":[120],"state.":[126],"terms":[135],"parameters":[138],"antecedent":[141],"IT2-FSs.":[142],"examined":[144],"effect":[146],"design":[149],"parameter":[150],"over":[151],"control":[153],"system":[154],"performance.":[155,176],"light":[158],"observations,":[161],"simple":[165],"self-tuning":[166],"mechanism":[167],"enhance":[169],"transient":[171],"disturbance":[174],"rejection":[175]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-06T13:50:29.536080","created_date":"2025-10-10T00:00:00"}