{"id":"https://openalex.org/W3193876802","doi":"https://doi.org/10.32604/iasc.2021.018214","title":"Robust Optimal Proportional\u2013Integral Controller for an Uncertain Unstable Delay System: Wind Process Application","display_name":"Robust Optimal Proportional\u2013Integral Controller for an Uncertain Unstable Delay System: Wind Process Application","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3193876802","doi":"https://doi.org/10.32604/iasc.2021.018214","mag":"3193876802"},"language":"en","primary_location":{"id":"doi:10.32604/iasc.2021.018214","is_oa":true,"landing_page_url":"https://doi.org/10.32604/iasc.2021.018214","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation & Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.32604/iasc.2021.018214","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037565230","display_name":"Rihem Farkh","orcid":"https://orcid.org/0000-0002-3058-7055"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rihem Farkh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059077428","display_name":"Yasser Fouad","orcid":"https://orcid.org/0000-0003-3797-4282"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yasser Fouad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083223992","display_name":"Haykel Marouani","orcid":"https://orcid.org/0000-0002-9995-1249"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haykel Marouani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5059077428"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09866769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","first_page":"837","last_page":"851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9952999949455261,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9940000176429749,"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":0.8069503307342529},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7486770749092102},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6695502996444702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5912657976150513},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4502892792224884},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.43355539441108704},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3273908495903015},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18289366364479065},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10995262861251831},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.10357147455215454}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.8069503307342529},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7486770749092102},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6695502996444702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5912657976150513},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4502892792224884},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.43355539441108704},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3273908495903015},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18289366364479065},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10995262861251831},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.10357147455215454},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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":1,"locations":[{"id":"doi:10.32604/iasc.2021.018214","is_oa":true,"landing_page_url":"https://doi.org/10.32604/iasc.2021.018214","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation & Soft Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.32604/iasc.2021.018214","is_oa":true,"landing_page_url":"https://doi.org/10.32604/iasc.2021.018214","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation & Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1574669531","https://openalex.org/W1982692067","https://openalex.org/W1991656974","https://openalex.org/W2081863717","https://openalex.org/W2081966147","https://openalex.org/W2084735697","https://openalex.org/W2091941770","https://openalex.org/W2098081686","https://openalex.org/W2122835233","https://openalex.org/W2123544627","https://openalex.org/W2127675106","https://openalex.org/W2139851853","https://openalex.org/W2144271726","https://openalex.org/W2145222549","https://openalex.org/W2825412142","https://openalex.org/W2871768878","https://openalex.org/W2904251574","https://openalex.org/W2940214345","https://openalex.org/W2968581768","https://openalex.org/W3003377503","https://openalex.org/W3120607703","https://openalex.org/W3185434412","https://openalex.org/W4230671117","https://openalex.org/W4236311207","https://openalex.org/W6675497159","https://openalex.org/W6678756105","https://openalex.org/W6761798818","https://openalex.org/W6767629096"],"related_works":["https://openalex.org/W2138538917","https://openalex.org/W2117391041","https://openalex.org/W2537438743","https://openalex.org/W2132323128","https://openalex.org/W1572443631","https://openalex.org/W2067224748","https://openalex.org/W4234926736","https://openalex.org/W1925787989","https://openalex.org/W2162541918","https://openalex.org/W2351202984"],"abstract_inverted_index":{"In":[0,143],"industrial":[1,127],"practice,":[2],"certain":[3,29],"processes":[4],"are":[5,37,45,55,87,120,134,212,268],"unstable,":[6],"such":[7,240],"as":[8,241],"different":[9],"types":[10],"of":[11,26,56,101,126,150,244,248,253,258],"reactors,":[12],"distillation":[13],"columns,":[14],"and":[15,22,34,54,61,91,112,160,201,209,218,232,256,264,275],"combustion":[16],"systems.":[17,142],"To":[18],"ensure":[19],"greater":[20],"maneuverability":[21],"improve":[23],"the":[24,32,71,75,81,88,130,148,187,223,229,242,272,280],"speed":[25],"response":[27],"command,":[28],"systems":[30,44,53,108,156],"in":[31,67,122,137,154],"military":[33],"aviation":[35],"fields":[36],"purposely":[38],"configured":[39],"to":[40,49,59,192,214,270],"be":[41],"unstable.":[42],"These":[43],"often":[46],"more":[47,123],"difficult":[48],"control":[50,62,69,97,141,219,226,282],"than":[51,124],"stable":[52,233],"particular":[57],"interest":[58],"designers":[60],"engineers.":[63],"Despite":[64],"all":[65,139,194],"advances":[66],"process":[68],"over":[70],"past":[72],"six":[73],"decades,":[74],"proportional\u2013integral\u2013derivative":[76],"(PID)":[77],"controller":[78,104,153,164],"is":[79,109,173,190],"still":[80],"most":[82],"common.":[83],"The":[84,99],"main":[85],"reasons":[86],"simplicity,":[89],"robustness,":[90],"successful":[92],"applications":[93],"provided":[94],"by":[95],"PID-based":[96],"structures.":[98],"design":[100],"proportional\u2013integral":[102],"(PI)":[103],"for":[105,165,180,221],"time-delay":[106],"(TD)":[107],"a":[110,151,176],"traditional":[111],"classical":[113],"problem.":[114],"On":[115,129],"one":[116],"hand,":[117,132],"PI":[118,152,195,225,273],"controllers":[119],"used":[121,191,213,269],"95%":[125],"processes.":[128],"other":[131],"there":[133],"TD":[135,172],"phenomena":[136],"almost":[138],"practical":[140],"this":[144],"paper,":[145],"we":[146],"study":[147],"robustness":[149],"stabilizing":[155],"containing":[157],"uncertain":[158,200],"parameters":[159,220,274,277],"delays.":[161],"A":[162,182],"robust":[163,231],"an":[166,199],"unknown":[167],"unstable":[168,202],"second-order":[169,203],"with":[170],"margin":[171],"constructed":[174],"using":[175],"generalized":[177],"Kharitonov":[178],"theorem":[179,189],"quasi-polynomials.":[181],"constructive":[183],"method":[184],"based":[185],"on":[186],"Hermite\u2013Biehler":[188],"obtain":[193,215],"gains,":[196],"which":[197],"stabilize":[198],"delay":[204],"system.":[205],"Genetic":[206],"algorithms":[207],"(GAs)":[208],"optimization":[210,267],"methods":[211],"optimal":[216],"system":[217,230,276],"providing":[222],"best":[224,281],"that":[227,278],"makes":[228],"under":[234,283],"uncertainty.":[235],"By":[236],"minimizing":[237],"performance":[238],"criteria":[239],"integral":[243,247,252,257],"square":[245,261],"error,":[246,250,255,262],"absolute":[249,254],"time-weighted":[251],"time":[259],"weighted":[260],"GAs":[263],"particle":[265],"swarm":[266],"optimize":[271],"provide":[279],"uncertainties.":[284]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}