{"id":"https://openalex.org/W2928833472","doi":"https://doi.org/10.1109/tac.2019.2908654","title":"Second-Order Fault Tolerant Extended Kalman Filter for Discrete Time Nonlinear Systems","display_name":"Second-Order Fault Tolerant Extended Kalman Filter for Discrete Time Nonlinear Systems","publication_year":2019,"publication_date":"2019-04-02","ids":{"openalex":"https://openalex.org/W2928833472","doi":"https://doi.org/10.1109/tac.2019.2908654","mag":"2928833472"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2908654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2908654","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/A5018191845","display_name":"Xin Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xin Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Southern Illinois University, Edwardsville, USA","Department of Electrical and Computer Engineering; Southern Illinois University; Edwardsville IL USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Southern Illinois University, Edwardsville, USA","institution_ids":["https://openalex.org/I87547150"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering; Southern Illinois University; Edwardsville IL USA","institution_ids":["https://openalex.org/I87547150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027106748","display_name":"Edwin E. Yaz","orcid":"https://orcid.org/0000-0002-2276-0225"},"institutions":[{"id":"https://openalex.org/I102461120","display_name":"Marquette University","ror":"https://ror.org/04gr4te78","country_code":"US","type":"education","lineage":["https://openalex.org/I102461120"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edwin E. Yaz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Marquette University, Milwaukee, USA","Department of Electrical and Computer Engineering, Marquette University, Milwaukee, WI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Marquette University, Milwaukee, USA","institution_ids":["https://openalex.org/I102461120"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Marquette University, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I102461120"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018191845"],"corresponding_institution_ids":["https://openalex.org/I87547150"],"apc_list":null,"apc_paid":null,"fwci":2.7452,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92443532,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"12","first_page":"5086","last_page":"5093"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9995999932289124,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9821000099182129,"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/control-theory","display_name":"Control theory (sociology)","score":0.7810360193252563},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.7678452730178833},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6841844916343689},{"id":"https://openalex.org/keywords/alpha-beta-filter","display_name":"Alpha beta filter","score":0.6400177478790283},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.5525569319725037},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5215751528739929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5076977014541626},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5002930164337158},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.4598276615142822},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.44406935572624207},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.4341227412223816},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.427262544631958},{"id":"https://openalex.org/keywords/fault-detection-and-isolation","display_name":"Fault detection and isolation","score":0.4132530689239502},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3603057265281677},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2756628096103668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2056271731853485},{"id":"https://openalex.org/keywords/moving-horizon-estimation","display_name":"Moving horizon estimation","score":0.1353563666343689},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08538717031478882},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06348901987075806}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7810360193252563},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.7678452730178833},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6841844916343689},{"id":"https://openalex.org/C11588082","wikidata":"https://www.wikidata.org/wiki/Q4735154","display_name":"Alpha beta filter","level":5,"score":0.6400177478790283},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.5525569319725037},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5215751528739929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5076977014541626},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5002930164337158},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.4598276615142822},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.44406935572624207},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.4341227412223816},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.427262544631958},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.4132530689239502},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3603057265281677},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2756628096103668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2056271731853485},{"id":"https://openalex.org/C50050547","wikidata":"https://www.wikidata.org/wiki/Q6927137","display_name":"Moving horizon estimation","level":4,"score":0.1353563666343689},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08538717031478882},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06348901987075806},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2019.2908654","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2908654","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"},{"id":"pmh:oai:epublications.marquette.edu:electric_fac-1620","is_oa":false,"landing_page_url":"https://epublications.marquette.edu/electric_fac/614","pdf_url":null,"source":{"id":"https://openalex.org/S4306401682","display_name":"e-Publications@Marquette (Marquette University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102461120","host_organization_name":"Marquette University","host_organization_lineage":["https://openalex.org/I102461120"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical and Computer Engineering Faculty Research and Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W105751747","https://openalex.org/W1488759080","https://openalex.org/W1569320505","https://openalex.org/W1596053451","https://openalex.org/W1603631609","https://openalex.org/W1993728587","https://openalex.org/W1997957916","https://openalex.org/W2000491979","https://openalex.org/W2017496074","https://openalex.org/W2029774596","https://openalex.org/W2036323349","https://openalex.org/W2052178830","https://openalex.org/W2065523600","https://openalex.org/W2069150737","https://openalex.org/W2080042467","https://openalex.org/W2083402998","https://openalex.org/W2101051269","https://openalex.org/W2105934661","https://openalex.org/W2110122461","https://openalex.org/W2113748513","https://openalex.org/W2115098818","https://openalex.org/W2115177366","https://openalex.org/W2120717581","https://openalex.org/W2126347101","https://openalex.org/W2130856249","https://openalex.org/W2133893543","https://openalex.org/W2143459010","https://openalex.org/W2146237093","https://openalex.org/W2342506470","https://openalex.org/W2790374560","https://openalex.org/W4241640524","https://openalex.org/W4390077076"],"related_works":["https://openalex.org/W4206024512","https://openalex.org/W3190919334","https://openalex.org/W2150837402","https://openalex.org/W2053335193","https://openalex.org/W2772311278","https://openalex.org/W2966342863","https://openalex.org/W2359845109","https://openalex.org/W2263628162","https://openalex.org/W4386026724","https://openalex.org/W2491009754"],"abstract_inverted_index":{"As":[0],"missing":[1],"sensor":[2,58],"data":[3],"may":[4],"severely":[5],"degrade":[6],"the":[7,126,153,167],"overall":[8],"system":[9],"performance":[10],"and":[11,25,35,65,143],"stability,":[12],"reliable":[13],"state":[14,37,104],"estimation":[15,38,50,95,105,136,170],"is":[16,75,90],"of":[17,72,80],"great":[18],"importance":[19],"in":[20,138],"modern":[21],"data-intensive":[22],"control,":[23],"computing,":[24],"power":[26],"systems":[27,56],"applications.":[28],"Aiming":[29],"at":[30],"providing":[31],"a":[32,43,91,115,163],"more":[33,134],"robust":[34],"resilient":[36],"technique,":[39],"this":[40],"paper":[41],"presents":[42],"novel":[44],"second-order":[45,128,144,155],"fault-tolerant":[46,129,156],"extended":[47,130,145,157],"Kalman":[48,131,146,158],"filter":[49,132,159],"framework":[51],"for":[52,102],"discrete-time":[53],"stochastic":[54],"nonlinear":[55,99,169],"under":[57,106],"failures,":[59],"bounded":[60],"observer-gain":[61],"perturbation,":[62],"extraneous":[63],"noise,":[64],"external":[66],"disturbances":[67],"condition.":[68],"The":[69,87],"failure":[70],"mechanism":[71],"multiple":[73],"sensors":[74],"assumed":[76],"to":[77,114,166],"be":[78],"independent":[79],"each":[81],"other":[82],"with":[83,140],"various":[84],"malfunction":[85],"rates.":[86],"proposed":[88,127,154],"approach":[89],"locally":[92],"unbiased,":[93],"minimum":[94],"error":[96],"covariance":[97],"based":[98],"observer":[100],"designed":[101],"dynamic":[103],"these":[107],"conditions.":[108],"It":[109],"has":[110],"been":[111],"successfully":[112],"applied":[113],"benchmark":[116],"target-trajectory":[117],"tracking":[118],"application.":[119],"Computer":[120],"simulation":[121],"studies":[122],"have":[123,150],"demonstrated":[124,151],"that":[125,152],"provides":[133],"accurate":[135],"results,":[137],"comparison":[139],"traditional":[141],"first-":[142],"filter.":[147],"Experimental":[148],"results":[149],"can":[160],"serve":[161],"as":[162],"powerful":[164],"alternative":[165],"existing":[168],"approaches.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}