{"id":"https://openalex.org/W4406754450","doi":"https://doi.org/10.1109/tcyb.2025.3526686","title":"Evolutionary Fractional-Order Extended Kalman Filter of Cyber-Physical Power Systems","display_name":"Evolutionary Fractional-Order Extended Kalman Filter of Cyber-Physical Power Systems","publication_year":2025,"publication_date":"2025-01-23","ids":{"openalex":"https://openalex.org/W4406754450","doi":"https://doi.org/10.1109/tcyb.2025.3526686","pmid":"https://pubmed.ncbi.nlm.nih.gov/40031283"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2025.3526686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3526686","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5072829479","display_name":"Kang\u2010Di Lu","orcid":"https://orcid.org/0000-0002-0131-5085"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]},{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kang-Di Lu","raw_affiliation_strings":["Hangzhou School of Automation, Zhejiang Normal University, Hongzhou, China"],"affiliations":[{"raw_affiliation_string":"Hangzhou School of Automation, Zhejiang Normal University, Hongzhou, China","institution_ids":["https://openalex.org/I163151501","https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073760240","display_name":"Le Zhou","orcid":"https://orcid.org/0000-0002-7852-1370"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Le Zhou","raw_affiliation_strings":["School of Automation and Electrical Engineering, Zhejiang University of Science and Technology, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Electrical Engineering, Zhejiang University of Science and Technology, Hangzhou, China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061204419","display_name":"Zheng\u2010Guang Wu","orcid":"https://orcid.org/0000-0003-4460-9785"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng-Guang Wu","raw_affiliation_strings":["National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China","Institute of Cyber-Systems and Control, National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China","institution_ids":[]},{"raw_affiliation_string":"Institute of Cyber-Systems and Control, National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072829479"],"corresponding_institution_ids":["https://openalex.org/I135237710","https://openalex.org/I163151501"],"apc_list":null,"apc_paid":null,"fwci":10.1699,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98101872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"1395","last_page":"1408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9750999808311462,"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":0.9750999808311462,"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":0.9645000100135803,"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/T11236","display_name":"Control Systems and Identification","score":0.9334999918937683,"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/kalman-filter","display_name":"Kalman filter","score":0.8033688068389893},{"id":"https://openalex.org/keywords/cyber-physical-system","display_name":"Cyber-physical system","score":0.5720449090003967},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5661370754241943},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.47376421093940735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4541085362434387},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41057372093200684},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4018031060695648},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.3924875855445862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3304264545440674},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17957806587219238},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1722104549407959},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1656208038330078}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.8033688068389893},{"id":"https://openalex.org/C179768478","wikidata":"https://www.wikidata.org/wiki/Q1120057","display_name":"Cyber-physical system","level":2,"score":0.5720449090003967},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5661370754241943},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.47376421093940735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4541085362434387},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41057372093200684},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4018031060695648},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.3924875855445862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3304264545440674},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17957806587219238},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1722104549407959},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1656208038330078},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2025.3526686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2025.3526686","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:40031283","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40031283","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4513328056","display_name":null,"funder_award_id":"U1966202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6447169133","display_name":null,"funder_award_id":"62403122","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1598852905","https://openalex.org/W1613920759","https://openalex.org/W1981955701","https://openalex.org/W2043776058","https://openalex.org/W2053751819","https://openalex.org/W2106424475","https://openalex.org/W2118242473","https://openalex.org/W2203646921","https://openalex.org/W2390610783","https://openalex.org/W2549655584","https://openalex.org/W2551758879","https://openalex.org/W2567076685","https://openalex.org/W2589174422","https://openalex.org/W2774100429","https://openalex.org/W2792931423","https://openalex.org/W2805618571","https://openalex.org/W2887063112","https://openalex.org/W2891953096","https://openalex.org/W2945661351","https://openalex.org/W2972078310","https://openalex.org/W2973541832","https://openalex.org/W2980260224","https://openalex.org/W3003448204","https://openalex.org/W3033060502","https://openalex.org/W3094704314","https://openalex.org/W3102509250","https://openalex.org/W3111674221","https://openalex.org/W3128040342","https://openalex.org/W3148653261","https://openalex.org/W3187240181","https://openalex.org/W3199648348","https://openalex.org/W3214465091","https://openalex.org/W4200166817","https://openalex.org/W4205713248","https://openalex.org/W4226056984","https://openalex.org/W4226099334","https://openalex.org/W4229048514","https://openalex.org/W4285105952","https://openalex.org/W4296871656","https://openalex.org/W4309097651","https://openalex.org/W4313049033","https://openalex.org/W4313291107","https://openalex.org/W4319303160","https://openalex.org/W4323066020","https://openalex.org/W4380785721","https://openalex.org/W4387951808","https://openalex.org/W4390187594","https://openalex.org/W4392251553","https://openalex.org/W4404317203","https://openalex.org/W6676186167"],"related_works":["https://openalex.org/W2182059946","https://openalex.org/W1580685205","https://openalex.org/W2320496747","https://openalex.org/W1488420340","https://openalex.org/W2164174227","https://openalex.org/W4206770590","https://openalex.org/W2375426323","https://openalex.org/W2363340733","https://openalex.org/W2349716249","https://openalex.org/W2103062922"],"abstract_inverted_index":{"State":[0],"estimation":[1,71],"of":[2,8,29,73,181,229],"cyber-physical":[3],"power":[4,12,82,114,153,174],"systems":[5,226],"(CPPSs)":[6],"is":[7,23,84,121,132,165,197,215],"great":[9],"significance":[10],"for":[11,68,151,170],"system":[13,83,154],"optimization,":[14],"control,":[15],"and":[16,27,63,128,219],"security":[17],"analysis.":[18],"Additionally,":[19],"fractional":[20,31,88,99,109],"differential":[21,100],"calculus":[22,101],"based":[24,58],"on":[25,59,221],"differentiation":[26],"integration":[28],"arbitrary":[30],"order,":[32],"which":[33],"can":[34],"more":[35],"accurately":[36],"describe":[37,91],"the":[38,43,60,69,76,81,92,98,105,112,125,140,147,161,168,171,179,212,230],"physical":[39,93],"phenomenon":[40,94],"model":[41],"than":[42,217],"traditional":[44],"integer":[45],"calculus.":[46],"Thus,":[47],"this":[48],"article":[49],"proposes":[50],"a":[51,87,116,129],"novel":[52],"fractional-order":[53,77,113,152,173],"extended":[54,157],"Kalman":[55,158],"filter":[56,159],"(FOEKF)":[57],"evolutionary":[61,162],"algorithm":[62,131],"deep":[64,117],"ensemble":[65,118],"learning":[66],"techniques":[67],"state":[70],"problem":[72],"CPPSs":[74],"from":[75],"theory":[78],"perspective.":[79],"First,":[80],"modeled":[85],"as":[86,167],"version":[89],"to":[90,97,123,134,145,177],"better":[95,216],"according":[96],"theory.":[102],"Then,":[103],"considering":[104],"difficulties":[106,148],"in":[107,111,149,227],"determining":[108],"orders":[110],"system,":[115],"learning-based":[119],"approach":[120],"used":[122],"design":[124],"fitness":[126],"function":[127],"genetic":[130],"developed":[133,198],"determine":[135],"these":[136],"parameters":[137],"by":[138,155,188,199],"optimizing":[139],"designed":[141,172],"objective":[142],"function.":[143,205],"Furthermore,":[144],"solve":[146],"estimating":[150],"integral":[156],"(EKF),":[160],"FOEKF":[163,220],"(EFOEKF)":[164],"presented":[166],"estimator":[169],"system.":[175],"Finally,":[176],"improve":[178],"performance":[180],"EFOEKF":[182,195,214],"under":[183],"bad":[184],"datum":[185],"scenarios":[186],"caused":[187],"cyber-attacks":[189],"or":[190],"sudden":[191],"loads,":[192],"an":[193,201],"enhanced":[194],"method":[196],"using":[200],"adapted":[202],"exponential":[203],"weighting":[204],"The":[206],"numerical":[207],"simulation":[208],"results":[209],"show":[210],"that":[211],"proposed":[213],"EKF":[218],"four":[222],"different":[223],"IEEE":[224],"bus":[225],"terms":[228],"mean":[231],"absolute":[232],"error.":[233]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
