{"id":"https://openalex.org/W2083149835","doi":"https://doi.org/10.1109/acc.2013.6580120","title":"Robust smoothing for continuous time uncertain nonlinear systems","display_name":"Robust smoothing for continuous time uncertain nonlinear systems","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2083149835","doi":"https://doi.org/10.1109/acc.2013.6580120","mag":"2083149835"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5061205329","display_name":"Abhijit G. Kallapur","orcid":null},"institutions":[{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Abhijit G. Kallapur","raw_affiliation_strings":["University of New South Wales, Sydney, NSW, AU","School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"University of New South Wales, Sydney, NSW, AU","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["University of New South Wales, Sydney, NSW, AU","School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia"],"affiliations":[{"raw_affiliation_string":"University of New South Wales, Sydney, NSW, AU","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales at ADFA, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061205329"],"corresponding_institution_ids":["https://openalex.org/I31746571","https://openalex.org/I40053085"],"apc_list":null,"apc_paid":null,"fwci":1.0099,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81455819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"52","issue":null,"first_page":"1944","last_page":"1949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9965999722480774,"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/T11236","display_name":"Control Systems and Identification","score":0.9965999722480774,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9927999973297119,"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":0.9919000267982483,"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/smoothing","display_name":"Smoothing","score":0.7949350476264954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6633557081222534},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.605269193649292},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5970878601074219},{"id":"https://openalex.org/keywords/filtering-problem","display_name":"Filtering problem","score":0.5317346453666687},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5314544439315796},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4945010840892792},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49400120973587036},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4706360995769501},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4578723907470703},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.42490923404693604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4219288229942322},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.391457736492157},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.22012823820114136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20026805996894836},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13555648922920227},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.10208728909492493}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7949350476264954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6633557081222534},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.605269193649292},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5970878601074219},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.5317346453666687},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5314544439315796},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4945010840892792},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49400120973587036},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4706360995769501},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4578723907470703},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.42490923404693604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4219288229942322},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.391457736492157},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.22012823820114136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20026805996894836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13555648922920227},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.10208728909492493},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580120","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W335071387","https://openalex.org/W1485278156","https://openalex.org/W1500564636","https://openalex.org/W1572031236","https://openalex.org/W1598610938","https://openalex.org/W1606225193","https://openalex.org/W1646998587","https://openalex.org/W1990696058","https://openalex.org/W2034422374","https://openalex.org/W2051234657","https://openalex.org/W2054601552","https://openalex.org/W2095404330","https://openalex.org/W2096792618","https://openalex.org/W2097795807","https://openalex.org/W2104819686","https://openalex.org/W2120481125","https://openalex.org/W2121482537","https://openalex.org/W2122779814","https://openalex.org/W2123407276","https://openalex.org/W2123581895","https://openalex.org/W2129332990","https://openalex.org/W2133214943","https://openalex.org/W2137125972","https://openalex.org/W2141665878","https://openalex.org/W2149371065","https://openalex.org/W2163495677","https://openalex.org/W2169240550","https://openalex.org/W2398648275","https://openalex.org/W2790374560","https://openalex.org/W4298563212","https://openalex.org/W6647850562","https://openalex.org/W6664140441"],"related_works":["https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W1976679120","https://openalex.org/W4238188170","https://openalex.org/W4281614748","https://openalex.org/W2125114371","https://openalex.org/W2095945411","https://openalex.org/W4249370909"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,20,103,115,120,123,135,158,162,167,171,180,183,191,195],"derivation":[4],"of":[5,13,26,37,82,122,139,142,182],"a":[6,11,34,49,54,64,99],"robust":[7,136],"smoothing":[8,40,125],"algorithm":[9],"for":[10,33,92,102,110,127,134,194],"class":[12,36],"uncertain":[14],"nonlinear":[15,112,128],"systems.":[16,129],"The":[17,39,130],"uncertainties":[18],"in":[19,24,63,80,114,119],"system":[21,116],"are":[22,108,176],"described":[23,79],"terms":[25,81],"an":[27,72],"integral":[28],"quadratic":[29,100],"constraint":[30],"which":[31],"provides":[32],"rich":[35],"uncertainties.":[38],"problem":[41,52,60,75,96],"is":[42,61,78,90,164],"divided":[43],"into":[44,71],"two":[45,140],"component":[46],"filtering":[47,51,56,59],"problems:":[48],"forward":[50,159],"and":[53,69,149],"reverse":[55,168],"problem.":[57],"Each":[58],"formulated":[62],"set-valued":[65,184],"state":[66,147,185],"estimation":[67],"framework":[68],"recast":[70],"optimal":[73,94],"control":[74,95],"whose":[76],"solution":[77,89],"Hamilton-Jacobi-Bellman":[83],"partial":[84],"differential":[85,144],"equations.":[86,153],"An":[87],"approximate":[88],"obtained":[91],"this":[93],"by":[97],"assuming":[98],"approximation":[101],"value":[104],"function.":[105],"Linear":[106],"approximations":[107],"used":[109],"various":[111],"functions":[113],"dynamics,":[117],"as":[118],"case":[121],"linearized":[124],"approach":[126],"final":[131],"recursion":[132,192],"equations":[133,175,193],"smoother":[137],"consist":[138],"sets":[141],"Riccati":[143],"equations,":[145,148],"filter":[146,160],"level":[150,172],"shift":[151,173],"scalar":[152,174],"One":[154],"set":[155],"corresponds":[156],"to":[157,178],"while":[161],"other":[163],"associated":[165],"with":[166],"filter.":[169],"Although":[170],"required":[177],"complete":[179],"definition":[181],"estimator,":[186],"they":[187],"do":[188],"not":[189],"affect":[190],"filters.":[196]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
