{"id":"https://openalex.org/W2115685066","doi":"https://doi.org/10.1109/tcsi.2011.2131330","title":"A Novel Delta Operator Kalman Filter Design and Convergence Analysis","display_name":"A Novel Delta Operator Kalman Filter Design and Convergence Analysis","publication_year":2011,"publication_date":"2011-04-26","ids":{"openalex":"https://openalex.org/W2115685066","doi":"https://doi.org/10.1109/tcsi.2011.2131330","mag":"2115685066"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2011.2131330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2011.2131330","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","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/A5101921301","display_name":"Hongjiu Yang","orcid":"https://orcid.org/0000-0001-9343-8068"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongjiu Yang","raw_affiliation_strings":["Department of Automatic Control, Beijing Institute of Technology, Beijing, China","Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115600567","display_name":"Yuanqing Xia","orcid":"https://orcid.org/0009-0007-4022-9175"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanqing Xia","raw_affiliation_strings":["Department of Automatic Control, Beijing Institute of Technology, Beijing, China","Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100739668","display_name":"Peng Shi","orcid":"https://orcid.org/0000-0001-8218-586X"},"institutions":[{"id":"https://openalex.org/I128993996","display_name":"University of South Wales","ror":"https://ror.org/02mzn7s88","country_code":"GB","type":"education","lineage":["https://openalex.org/I128993996"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peng Shi","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, United Kingdom","Dept. of Comput. & Math. Sci., Univ. of Glamorgan, Pontypridd, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, United Kingdom","institution_ids":["https://openalex.org/I128993996"]},{"raw_affiliation_string":"Dept. of Comput. & Math. Sci., Univ. of Glamorgan, Pontypridd, UK","institution_ids":["https://openalex.org/I128993996"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091459774","display_name":"Mengyin Fu","orcid":"https://orcid.org/0000-0002-5520-7127"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengyin Fu","raw_affiliation_strings":["Department of Automatic Control, Beijing Institute of Technology, Beijing, China","Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.3186,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.98852207,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"10","first_page":"2458","last_page":"2468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996999979019165,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996999979019165,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9954000115394592,"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":0.9934999942779541,"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/delta-operator","display_name":"Delta operator","score":0.9034929275512695},{"id":"https://openalex.org/keywords/alpha-beta-filter","display_name":"Alpha beta filter","score":0.8266755938529968},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.7133951187133789},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6738792657852173},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6666178107261658},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6622858047485352},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.6014330983161926},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.5496214628219604},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.42294076085090637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4130091369152069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.365263432264328},{"id":"https://openalex.org/keywords/shift-operator","display_name":"Shift operator","score":0.22246253490447998},{"id":"https://openalex.org/keywords/moving-horizon-estimation","display_name":"Moving horizon estimation","score":0.15261730551719666},{"id":"https://openalex.org/keywords/compact-operator","display_name":"Compact operator","score":0.11328229308128357},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0951322615146637}],"concepts":[{"id":"https://openalex.org/C115633367","wikidata":"https://www.wikidata.org/wiki/Q5254796","display_name":"Delta operator","level":5,"score":0.9034929275512695},{"id":"https://openalex.org/C11588082","wikidata":"https://www.wikidata.org/wiki/Q4735154","display_name":"Alpha beta filter","level":5,"score":0.8266755938529968},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.7133951187133789},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6738792657852173},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6666178107261658},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6622858047485352},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.6014330983161926},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.5496214628219604},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.42294076085090637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4130091369152069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.365263432264328},{"id":"https://openalex.org/C65630602","wikidata":"https://www.wikidata.org/wiki/Q2278680","display_name":"Shift operator","level":4,"score":0.22246253490447998},{"id":"https://openalex.org/C50050547","wikidata":"https://www.wikidata.org/wiki/Q6927137","display_name":"Moving horizon estimation","level":4,"score":0.15261730551719666},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.11328229308128357},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0951322615146637},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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":3,"locations":[{"id":"doi:10.1109/tcsi.2011.2131330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2011.2131330","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:eprints.vu.edu.au:10350","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/10350/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/83090","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/83090","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1109/tcsi.2011.2131330","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W256146059","https://openalex.org/W257792192","https://openalex.org/W1814021024","https://openalex.org/W1971194975","https://openalex.org/W2026932992","https://openalex.org/W2037438774","https://openalex.org/W2063378980","https://openalex.org/W2066295611","https://openalex.org/W2066762668","https://openalex.org/W2096840408","https://openalex.org/W2105934661","https://openalex.org/W2107095873","https://openalex.org/W2126436712","https://openalex.org/W2129263713","https://openalex.org/W2129673037","https://openalex.org/W2130865525","https://openalex.org/W2132902886","https://openalex.org/W2134683563","https://openalex.org/W2146264100","https://openalex.org/W2147572806","https://openalex.org/W2148124961","https://openalex.org/W2148328967","https://openalex.org/W2151538727","https://openalex.org/W2151836956","https://openalex.org/W2152898444","https://openalex.org/W2153658468","https://openalex.org/W2154993399","https://openalex.org/W2161356965","https://openalex.org/W2161591975","https://openalex.org/W2162850525","https://openalex.org/W2503900448","https://openalex.org/W2790374560","https://openalex.org/W2804857345","https://openalex.org/W2944730908","https://openalex.org/W3145443281","https://openalex.org/W4241599172","https://openalex.org/W4285719527","https://openalex.org/W6609695753","https://openalex.org/W6683874675","https://openalex.org/W6751492181","https://openalex.org/W6762251491","https://openalex.org/W7052294243"],"related_works":["https://openalex.org/W3190919334","https://openalex.org/W2150837402","https://openalex.org/W4206024512","https://openalex.org/W2263628162","https://openalex.org/W4386026724","https://openalex.org/W4221126147","https://openalex.org/W2491009754","https://openalex.org/W4324121876","https://openalex.org/W2377206439","https://openalex.org/W2273094032"],"abstract_inverted_index":{"This":[0],"paper":[1,70],"focuses":[2],"on":[3,101],"the":[4,25,35,49,53,75,80,109,112],"development":[5],"of":[6,28,52,79,97,111],"a":[7,29,86,102],"delta":[8,17,30,37,54,66,81],"operator":[9,18,31,38,55,82],"Kalman":[10,19,39,56,83,114],"filter":[11,20,40,57,84,115],"and":[12,45,77,116],"its":[13,117],"convergence":[14,50],"analysis.":[15],"The":[16],"is":[21,58],"designed":[22,36,113],"to":[23,107],"estimate":[24],"state":[26,87],"vectors":[27],"system.":[32],"Note":[33],"that":[34],"can":[41],"express":[42],"both":[43],"continuous-time":[44],"discrete-time":[46],"cases.":[47],"Then,":[48],"analysis":[51,76],"also":[59],"investigated":[60],"by":[61],"using":[62],"Lyapunov":[63],"approach":[64],"in":[65,89],"domain.":[67],"Furthermore,":[68],"this":[69],"gives":[71],"fundamental":[72],"results":[73,96],"for":[74],"application":[78],"as":[85],"observer":[88],"an":[90,98],"inverted":[91,99],"pendulum":[92,100],"model.":[93],"Some":[94],"experimental":[95],"laboratory-scale":[103],"setup":[104],"are":[105],"presented":[106],"illustrate":[108],"effectiveness":[110],"implementation.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}