{"id":"https://openalex.org/W4391021056","doi":"https://doi.org/10.1109/cdc49753.2023.10383222","title":"A Koopman Operator-Based Finite Impulse Response Filter for Nonlinear Systems","display_name":"A Koopman Operator-Based Finite Impulse Response Filter for Nonlinear Systems","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391021056","doi":"https://doi.org/10.1109/cdc49753.2023.10383222"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383222","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10383222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5080798403","display_name":"Zhichao Pan","orcid":"https://orcid.org/0000-0002-1266-3720"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhichao Pan","raw_affiliation_strings":["Institute of Automation, Jiangnan University,Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Wuxi,China,214122"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation, Jiangnan University,Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Wuxi,China,214122","institution_ids":["https://openalex.org/I111599522","https://openalex.org/I4210112150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100432851","display_name":"Biao Huang","orcid":"https://orcid.org/0000-0001-9082-2216"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Biao Huang","raw_affiliation_strings":["University of Alberta,department of chemical and materials engineering,Edmonton,Alberta,Canada,T6G 1H9"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Alberta,department of chemical and materials engineering,Edmonton,Alberta,Canada,T6G 1H9","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100394563","display_name":"Fei Liu","orcid":"https://orcid.org/0000-0001-7160-2605"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]},{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Liu","raw_affiliation_strings":["Institute of Automation, Jiangnan University,Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Wuxi,China,214122"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automation, Jiangnan University,Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Wuxi,China,214122","institution_ids":["https://openalex.org/I111599522","https://openalex.org/I4210112150"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2159","last_page":"2165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/finite-impulse-response","display_name":"Finite impulse response","score":0.718985915184021},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6598847508430481},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6418655514717102},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6056480407714844},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.5797942876815796},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.5665764808654785},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5403298735618591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5266114473342896},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.4961012303829193},{"id":"https://openalex.org/keywords/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.48391395807266235},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4712422490119934},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.46453195810317993},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4535433351993561},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.43900102376937866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4144356846809387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4098268449306488},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36022835969924927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09633168578147888},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0733451247215271}],"concepts":[{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.718985915184021},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6598847508430481},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6418655514717102},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6056480407714844},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.5797942876815796},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.5665764808654785},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5403298735618591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5266114473342896},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.4961012303829193},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.48391395807266235},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4712422490119934},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.46453195810317993},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4535433351993561},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.43900102376937866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4144356846809387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4098268449306488},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36022835969924927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09633168578147888},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0733451247215271},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383222","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10383222","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5426409165","display_name":null,"funder_award_id":"61833007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1591018827","https://openalex.org/W1592003224","https://openalex.org/W1996962441","https://openalex.org/W1997054581","https://openalex.org/W2014356541","https://openalex.org/W2060806808","https://openalex.org/W2070817676","https://openalex.org/W2137674749","https://openalex.org/W2139251171","https://openalex.org/W2405158121","https://openalex.org/W2518251639","https://openalex.org/W2561027863","https://openalex.org/W2566199617","https://openalex.org/W2568560373","https://openalex.org/W2755153992","https://openalex.org/W2777417212","https://openalex.org/W2790374560","https://openalex.org/W2799595469","https://openalex.org/W2905926879","https://openalex.org/W3098172061","https://openalex.org/W3129637124"],"related_works":["https://openalex.org/W3141056701","https://openalex.org/W1538745717","https://openalex.org/W4299664004","https://openalex.org/W1902114972","https://openalex.org/W2153540021","https://openalex.org/W1027676364","https://openalex.org/W2110172081","https://openalex.org/W2105504154","https://openalex.org/W4308935600","https://openalex.org/W2160916790"],"abstract_inverted_index":{"This":[0,16],"paper":[1],"proposes":[2],"a":[3,33,60,102],"novel":[4],"Koopman":[5,43],"operator-based":[6],"finite":[7],"impulse":[8],"response":[9],"(KFIR)":[10],"filter":[11,17,27,87,111],"for":[12,28,126],"nonlinear":[13,39],"dynamic":[14,49],"systems.":[15],"is":[18,65,71],"generalized":[19],"from":[20,42],"the":[21,38,47,56,68,75,78,85,93,99,109],"minimum":[22],"variance":[23],"unbiased":[24],"(MVU)":[25],"FIR":[26,62],"linear":[29,35,58],"systems":[30],"by":[31],"using":[32],"global":[34],"approximation":[36],"of":[37,77,92,101],"dynamics":[40],"obtained":[41],"operator":[44],"theory":[45],"and":[46,67,96,119],"extended":[48],"mode":[50],"decomposition":[51],"(EDMD)":[52],"algorithm.":[53],"Based":[54],"on":[55],"recursive":[57],"model,":[59],"reduced-order":[61],"filtering":[63],"structure":[64],"proposed,":[66],"optimal":[69],"gain":[70],"derived":[72],"to":[73],"minimize":[74],"trace":[76],"estimation":[79],"error":[80],"covariance.":[81],"Unlike":[82],"traditional":[83],"methods,":[84],"KFIR":[86],"requires":[88],"no":[89],"prior":[90],"knowledge":[91],"initial":[94],"state":[95],"fully":[97],"utilizes":[98],"data":[100],"moving":[103],"horizon.":[104],"Simulation":[105],"results":[106],"show":[107],"that":[108],"proposed":[110],"has":[112],"excellent":[113],"robustness":[114],"against":[115],"unexpected":[116],"modeling":[117],"uncertainties":[118],"inaccurate":[120],"noise":[121],"information,":[122],"making":[123],"it":[124],"suitable":[125],"real":[127],"applications.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}