{"id":"https://openalex.org/W4388469676","doi":"https://doi.org/10.1109/tac.2023.3330900","title":"Proportional-Integral Funnel Control of Unknown Lower-Triangular Nonlinear Systems","display_name":"Proportional-Integral Funnel Control of Unknown Lower-Triangular Nonlinear Systems","publication_year":2023,"publication_date":"2023-11-07","ids":{"openalex":"https://openalex.org/W4388469676","doi":"https://doi.org/10.1109/tac.2023.3330900"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3330900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3330900","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5036721322","display_name":"Jin\u2010Xi Zhang","orcid":"https://orcid.org/0000-0002-1451-7057"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin-Xi Zhang","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042520521","display_name":"Tianyou Chai","orcid":"https://orcid.org/0000-0002-4623-1483"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyou Chai","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036721322"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":13.6728,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.99343348,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"69","issue":"3","first_page":"1921","last_page":"1927"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9990000128746033,"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":0.9983000159263611,"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/funnel","display_name":"Funnel","score":0.8786487579345703},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8277063369750977},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7100745439529419},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6092001795768738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5193894505500793},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.46184319257736206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3415576219558716},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3367269039154053},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2661464214324951},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2072126865386963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10831081867218018}],"concepts":[{"id":"https://openalex.org/C17435862","wikidata":"https://www.wikidata.org/wiki/Q29957","display_name":"Funnel","level":2,"score":0.8786487579345703},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8277063369750977},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7100745439529419},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6092001795768738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5193894505500793},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.46184319257736206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3415576219558716},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3367269039154053},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2661464214324951},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2072126865386963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10831081867218018},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3330900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3330900","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G2273942381","display_name":null,"funder_award_id":"N2108003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5716302255","display_name":null,"funder_award_id":"2023-MS-087","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"},{"id":"https://openalex.org/G5898287775","display_name":null,"funder_award_id":"61991404","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6662064984","display_name":null,"funder_award_id":"62103093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7063703113","display_name":null,"funder_award_id":"N2324003-05","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1967964192","https://openalex.org/W1993420283","https://openalex.org/W2013217995","https://openalex.org/W2033481239","https://openalex.org/W2114265613","https://openalex.org/W2137824246","https://openalex.org/W2140880347","https://openalex.org/W2171749945","https://openalex.org/W2337508653","https://openalex.org/W2468785923","https://openalex.org/W2609369513","https://openalex.org/W2772906875","https://openalex.org/W2790506641","https://openalex.org/W2934215271","https://openalex.org/W2947627838","https://openalex.org/W2964770820","https://openalex.org/W2995624621","https://openalex.org/W3097056191","https://openalex.org/W3112772837","https://openalex.org/W3169974090","https://openalex.org/W3214594929","https://openalex.org/W4206162861","https://openalex.org/W4206273786","https://openalex.org/W4210280024","https://openalex.org/W4225683461","https://openalex.org/W4234635308","https://openalex.org/W4379647611"],"related_works":["https://openalex.org/W2073875810","https://openalex.org/W2356551568","https://openalex.org/W2081113335","https://openalex.org/W2358635018","https://openalex.org/W4242602405","https://openalex.org/W2364686644","https://openalex.org/W2889922688","https://openalex.org/W2355865573","https://openalex.org/W2155981143","https://openalex.org/W2155245395"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,47,76],"concerned":[3],"with":[4,43,56,82],"the":[5,10,14,57,72,79,96,106],"high-performance":[6],"control":[7,41,101],"problem":[8],"for":[9,62,108],"nonlinear":[11,64],"systems":[12,65,81],"in":[13],"sense":[15],"of":[16,27,71,99],"not":[17],"only":[18],"fast":[19],"accurate":[20],"reference":[21],"tracking":[22],"but":[23],"also":[24],"active":[25],"damping":[26],"error":[28],"oscillations":[29],"caused":[30],"by":[31,126],"disturbances":[32],"and":[33,85,90,102],"unmodeled":[34],"dynamics.":[35],"A":[36],"novel":[37],"proportional-integral":[38],"(PI)":[39],"funnel":[40,103],"approach":[42],"rigorous":[44],"theoretical":[45,122],"insurance":[46],"put":[48],"forward":[49],"to":[50,78],"handle":[51],"this":[52],"problem.":[53],"In":[54],"contrast":[55],"existing":[58],"solutions":[59],"that":[60],"work":[61],"weekly":[63],"or":[66,117],"rely":[67],"on":[68,130],"available":[69],"knowledge":[70],"system":[73],"nonlinearities,":[74,87],"it":[75,94],"applicable":[77],"lower-triangular":[80],"unknown":[83],"multiplicative":[84],"additive":[86],"unmatched":[88],"disturbances,":[89],"time-varying":[91],"parameters.":[92],"Moreover,":[93],"preserves":[95],"unique":[97],"simplicity":[98],"PI":[100],"control,":[104],"without":[105],"needs":[107],"function":[109],"approximation,":[110],"parameter":[111],"identification,":[112],"disturbance":[113],"estimation,":[114],"derivative":[115],"calculation,":[116],"command":[118],"filtering.":[119],"The":[120],"above":[121],"findings":[123],"are":[124],"illustrated":[125],"a":[127,131],"comparative":[128],"simulation":[129],"jet":[132],"engine":[133],"compressor.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":42},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}