{"id":"https://openalex.org/W4408519570","doi":"https://doi.org/10.1109/tase.2025.3552046","title":"Conflict-Averse Multi-Objective Extremum Seeking and Its Application in Wastewater Treatment Processes","display_name":"Conflict-Averse Multi-Objective Extremum Seeking and Its Application in Wastewater Treatment Processes","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408519570","doi":"https://doi.org/10.1109/tase.2025.3552046"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3552046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3552046","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and 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/A5111066239","display_name":"M. S. Chu","orcid":"https://orcid.org/0009-0001-8628-9006"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minghui Chu","raw_affiliation_strings":["Control and Simulation Center, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103042152","display_name":"Xin Huo","orcid":"https://orcid.org/0000-0003-4945-6271"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Huo","raw_affiliation_strings":["Control and Simulation Center, Harbin Institute of Technology, Harbin, China","School of Astronautics, Control and Simulation Center, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Astronautics, Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051693230","display_name":"Kemao Ma","orcid":"https://orcid.org/0000-0002-0285-8284"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kemao Ma","raw_affiliation_strings":["Control and Simulation Center, Harbin Institute of Technology, Harbin, China","School of Astronautics, Control and Simulation Center, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Astronautics, Control and Simulation Center, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111066239"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":1.365,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78052008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"22","issue":null,"first_page":"13175","last_page":"13186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9793999791145325,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9793999791145325,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.4450942277908325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4155113399028778},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3889733850955963},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.373687207698822},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.34261107444763184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22573649883270264},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19214126467704773},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12278252840042114}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4450942277908325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4155113399028778},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3889733850955963},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.373687207698822},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.34261107444763184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22573649883270264},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19214126467704773},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12278252840042114}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3552046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3552046","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.8600000143051147}],"awards":[{"id":"https://openalex.org/G1916512860","display_name":null,"funder_award_id":"62373128","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2620220142","display_name":null,"funder_award_id":"202306120116","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1960383846","https://openalex.org/W1976047713","https://openalex.org/W2006491884","https://openalex.org/W2042818151","https://openalex.org/W2047735251","https://openalex.org/W2050327361","https://openalex.org/W2056860522","https://openalex.org/W2060727197","https://openalex.org/W2093125444","https://openalex.org/W2095062552","https://openalex.org/W2124646895","https://openalex.org/W2542993152","https://openalex.org/W2567833434","https://openalex.org/W2771725166","https://openalex.org/W2791787951","https://openalex.org/W2915369020","https://openalex.org/W2921462284","https://openalex.org/W2952947910","https://openalex.org/W2964769212","https://openalex.org/W2968028487","https://openalex.org/W2981478977","https://openalex.org/W3185593604","https://openalex.org/W3209469891","https://openalex.org/W3213705378","https://openalex.org/W4225960522","https://openalex.org/W4281811029","https://openalex.org/W4309791517","https://openalex.org/W4313135766","https://openalex.org/W4318953325","https://openalex.org/W4324319755","https://openalex.org/W4375928756","https://openalex.org/W4382936093","https://openalex.org/W4383311315","https://openalex.org/W4386065421","https://openalex.org/W6637501037","https://openalex.org/W6803156713","https://openalex.org/W6874562549"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"This":[0,207,283],"paper":[1,208,284],"addresses":[2],"multi-objective":[3,8,20,166,287,309],"optimization":[4,122,167,182,212,219,297,310],"problems":[5,123],"using":[6],"conflict-averse":[7,57,286],"extremum":[9,21,86,111,217,288],"seeking":[10,22,218,289],"(CAMOES)":[11],"for":[12,17,95,107,134],"unknown":[13],"static":[14],"mapping.":[15],"As":[16],"the":[18,25,29,45,50,53,64,72,76,83,91,143,165,174,177,181,187,192,196,199,221,232,241,259,265,274,295,318],"traditional":[19],"(MOES)":[23],"methods,":[24],"initial":[26,80,152,178],"conditions":[27,81,153],"affect":[28],"optimal":[30,253],"solution,":[31],"which":[32,160,291],"may":[33,154],"result":[34],"in":[35,169,236,322],"over-optimizing":[36],"some":[37],"objectives.":[38],"To":[39,88],"overcome":[40],"this":[41],"issue,":[42],"by":[43,258],"minimizing":[44],"average":[46],"loss":[47],"function":[48,106],"with":[49,90,103,186,214,264,308],"2-norm":[51],"of":[52,75,85,115,176,298],"worst":[54],"individual":[55],"objective,":[56],"gradient":[58],"estimator":[59],"is":[60,101,117,191,228,245,292],"investigated":[61],"to":[62,150,156,172,194,230,247,262,294,305],"determine":[63],"weighting":[65],"factors":[66],"and":[67,79,130,184,203,220,234,280],"regularization":[68],"parameter":[69],"adaptively,":[70],"extenuating":[71],"adverse":[73,162],"impact":[74,163],"prior":[77],"parameters":[78,179],"on":[82,164,180],"performance":[84,168,183],"seeking.":[87,112],"cope":[89,263],"integral":[92,249],"windup":[93,250],"problem":[94,133,321],"constrained":[96],"inputs,":[97],"penalty-function":[98,242],"anti-windup":[99,243],"mechanism":[100,244],"explored":[102],"smoothing":[104],"saturation":[105],"multiple-input":[108],"multiple-output":[109],"(MIMO)":[110],"The":[113,139,224,252,270],"stability":[114],"CAMOES":[116,145,261],"theoretically":[118],"analyzed.":[119],"Some":[120],"bi-objective":[121,296],"are":[124,255],"conducted,":[125],"including":[126],"a":[127,131,210],"numerical":[128],"example":[129],"practical":[132],"wastewater":[135],"treatment":[136],"processes":[137],"(WWTPs).":[138],"results":[140,272],"demonstrate":[141],"that":[142],"proposed":[144,260,275],"exhibits":[146],"competitive":[147],"performance.":[148,282],"Note":[149],"Practitioners\u2014The":[151],"lead":[155],"different":[157],"Pareto":[158],"solutions,":[159],"brings":[161],"WWTPs.":[170,237,323],"How":[171],"mitigate":[173],"influence":[175],"deal":[185],"changing":[188],"operation":[189,279],"condition":[190],"key":[193],"balancing":[195],"trade-off":[197],"between":[198],"effluent":[200],"quality":[201],"(EQ)":[202],"energy":[204],"cost":[205],"(EC).":[206],"presents":[209],"control":[211,222,281],"scheme":[213,276],"intelligent":[215],"modeling,":[216],"part.":[223],"ErrCor-RBF":[225],"neural":[226],"network":[227],"built":[229],"predict":[231],"EC":[233],"EQ":[235],"For":[238],"constraint":[239],"conditions,":[240],"exploited":[246],"avoid":[248],"problems.":[251],"set-points":[254],"dynamically":[256],"adjusted":[257],"varying":[266],"influent":[267],"flow":[268],"rate.":[269],"experimental":[271],"prove":[273],"has":[277],"better":[278],"proposes":[285],"(CAMOES),":[290],"applied":[293,304],"WWTPs":[299],"but":[300],"can":[301],"also":[302],"be":[303],"other":[306],"systems":[307],"tasks.":[311],"In":[312],"future":[313],"research,":[314],"we":[315],"will":[316],"address":[317],"time":[319],"delay":[320]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}