{"id":"https://openalex.org/W1972194209","doi":"https://doi.org/10.1109/acc.2010.5531023","title":"Nonlinear estimation with polynomial chaos and higher order moment updates","display_name":"Nonlinear estimation with polynomial chaos and higher order moment updates","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1972194209","doi":"https://doi.org/10.1109/acc.2010.5531023","mag":"1972194209"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5531023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531023","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-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/A5070517688","display_name":"Paramartha Dutta","orcid":"https://orcid.org/0000-0003-3946-2440"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P Dutta","raw_affiliation_strings":["Aerospace Engineering, Texas A and M University, College Station, TX, USA","Aerospace Engineering, Texas A&M University, College Station, 77845-3141, USA"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Aerospace Engineering, Texas A&M University, College Station, 77845-3141, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006156978","display_name":"Raktim Bhattacharya","orcid":"https://orcid.org/0000-0002-8218-2631"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R Bhattacharya","raw_affiliation_strings":["Aerospace Engineering, Texas A and M University, College Station, TX, USA","Aerospace Engineering, Texas A&M University, College Station, 77845-3141, USA"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Aerospace Engineering, Texas A&M University, College Station, 77845-3141, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070517688"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":1.8042,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.86478838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3142","last_page":"3147"},"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":0.9980999827384949,"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":0.9980999827384949,"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":0.991100013256073,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.7597492933273315},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7563865780830383},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6981837749481201},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.691642165184021},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5621429085731506},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.5583051443099976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5510969758033752},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5484578609466553},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5302029848098755},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.4942610263824463},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.42598414421081543},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41760173439979553},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.378462016582489},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3469923734664917},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16918912529945374},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1209401786327362},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.11086443066596985}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.7597492933273315},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7563865780830383},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6981837749481201},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.691642165184021},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5621429085731506},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5583051443099976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5510969758033752},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5484578609466553},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5302029848098755},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.4942610263824463},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.42598414421081543},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41760173439979553},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.378462016582489},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3469923734664917},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16918912529945374},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1209401786327362},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.11086443066596985},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5531023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5531023","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1538934584","https://openalex.org/W1991777572","https://openalex.org/W2009751220","https://openalex.org/W2018159038","https://openalex.org/W2020036842","https://openalex.org/W2020934227","https://openalex.org/W2022144657","https://openalex.org/W2027051505","https://openalex.org/W2033552200","https://openalex.org/W2052585066","https://openalex.org/W2055081012","https://openalex.org/W2058703564","https://openalex.org/W2079716434","https://openalex.org/W2086077633","https://openalex.org/W2103621341","https://openalex.org/W2105934661","https://openalex.org/W2121990344","https://openalex.org/W2123487311","https://openalex.org/W2136602340","https://openalex.org/W2144144515","https://openalex.org/W2150951085","https://openalex.org/W2151362336","https://openalex.org/W2160337655","https://openalex.org/W2169679755","https://openalex.org/W2169982942","https://openalex.org/W2177147978","https://openalex.org/W2293807537","https://openalex.org/W2318149624","https://openalex.org/W2321957512","https://openalex.org/W2332771484"],"related_works":["https://openalex.org/W339217817","https://openalex.org/W2797263970","https://openalex.org/W2891782306","https://openalex.org/W2287391662","https://openalex.org/W4381886630","https://openalex.org/W2971126152","https://openalex.org/W2142056387","https://openalex.org/W2789381754","https://openalex.org/W1974152777","https://openalex.org/W2077338131"],"abstract_inverted_index":{"In":[0],"this":[1,96],"paper":[2],"we":[3],"present":[4],"a":[5,60],"nonlinear":[6,32,64,114],"estimation":[7,65],"algorithm":[8,66],"that":[9,95],"combines":[10],"generalized":[11],"polynomial":[12],"chaos":[13,20],"theory":[14,21],"and":[15,35,79],"higher":[16,36],"moment":[17,38],"updates.":[18],"Polynomial":[19],"is":[22,67,82],"used":[23,41],"to":[24,42,70],"predict":[25],"the":[26,31,44,52,71,99,111],"evolution":[27],"of":[28,30,51],"uncertainty":[29,78],"random":[33,53],"process,":[34],"order":[37],"updates":[39],"are":[40,57,104],"estimate":[43],"posterior":[45],"non":[46],"Gaussian":[47],"probability":[48],"density":[49],"function":[50],"process.":[54],"The":[55,63],"moments":[56],"updated":[58],"using":[59],"linear":[61,85,100],"gain.":[62],"then":[68],"applied":[69],"duffing":[72],"oscillator":[73],"system":[74],"with":[75,84],"initial":[76],"condition":[77],"its":[80],"performance":[81],"compared":[83],"estimators":[86],"based":[87],"on":[88],"extended":[89],"Kalman":[90],"filtering":[91],"framework.":[92],"We":[93],"observe":[94],"estimator":[97,101,115],"outperforms":[98],"when":[102],"measurements":[103],"not":[105],"available":[106],"very":[107],"frequently,":[108],"thus":[109],"highlighting":[110],"need":[112],"for":[113],"in":[116],"such":[117],"scenarios.":[118]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}