{"id":"https://openalex.org/W3137376734","doi":"https://doi.org/10.1177/0142331221998856","title":"Discrete-time estimation of switched stochastic polynomial systems and its application to reconstruction of induction motor variables","display_name":"Discrete-time estimation of switched stochastic polynomial systems and its application to reconstruction of induction motor variables","publication_year":2021,"publication_date":"2021-03-24","ids":{"openalex":"https://openalex.org/W3137376734","doi":"https://doi.org/10.1177/0142331221998856","mag":"3137376734"},"language":"en","primary_location":{"id":"doi:10.1177/0142331221998856","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331221998856","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and 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/A5101645206","display_name":"Miguel Hernandez\u2010Gonzalez","orcid":"https://orcid.org/0000-0001-7445-314X"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Miguel Hernandez\u2013Gonzalez","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico\u2013Matem\u00e1ticas, Universidad Aut\u00f3noma de Nuevo Le\u00f3n, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico\u2013Matem\u00e1ticas, Universidad Aut\u00f3noma de Nuevo Le\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062522049","display_name":"Michael Basin","orcid":"https://orcid.org/0000-0002-7274-4303"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["MX","RU"],"is_corresponding":true,"raw_author_name":"Michael Basin","raw_affiliation_strings":["Department of Control Systems and Robotics, ITMO University, Russia","Facultad de Ciencias F\u00edsico\u2013Matem\u00e1ticas, Universidad Aut\u00f3noma de Nuevo Le\u00f3n, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-7274-4303","affiliations":[{"raw_affiliation_string":"Department of Control Systems and Robotics, ITMO University, Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico\u2013Matem\u00e1ticas, Universidad Aut\u00f3noma de Nuevo Le\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042798620","display_name":"\u041e. \u0410. \u0421\u0442\u0435\u043f\u0430\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0003-3640-3760"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Oleg Stepanov","raw_affiliation_strings":["Department of Control Systems and Robotics, ITMO University, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Systems and Robotics, ITMO University, Russia","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062522049"],"corresponding_institution_ids":["https://openalex.org/I169046204","https://openalex.org/I173089394"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03608359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"13","first_page":"3031","last_page":"3043"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9994000196456909,"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":0.9950000047683716,"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/polynomial","display_name":"Polynomial","score":0.6550149917602539},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6128802299499512},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6055459976196289},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5934608578681946},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5462803244590759},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.4962306618690491},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4915350377559662},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4667181372642517},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.4377235174179077},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.4149520993232727},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.41450557112693787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40276509523391724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23745852708816528},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14667725563049316}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6550149917602539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6128802299499512},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6055459976196289},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5934608578681946},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5462803244590759},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.4962306618690491},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4915350377559662},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4667181372642517},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.4377235174179077},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.4149520993232727},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.41450557112693787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40276509523391724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23745852708816528},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14667725563049316},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical 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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331221998856","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331221998856","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4497455184","display_name":null,"funder_award_id":"250611","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W60351300","https://openalex.org/W627178554","https://openalex.org/W1506286679","https://openalex.org/W1509399134","https://openalex.org/W1591702517","https://openalex.org/W1999463696","https://openalex.org/W2013002270","https://openalex.org/W2014412922","https://openalex.org/W2024508510","https://openalex.org/W2031351584","https://openalex.org/W2036323349","https://openalex.org/W2042512542","https://openalex.org/W2054091988","https://openalex.org/W2062190714","https://openalex.org/W2062563339","https://openalex.org/W2062974796","https://openalex.org/W2080367870","https://openalex.org/W2082046295","https://openalex.org/W2083402998","https://openalex.org/W2087300594","https://openalex.org/W2087435860","https://openalex.org/W2105934661","https://openalex.org/W2106421281","https://openalex.org/W2120466739","https://openalex.org/W2121245754","https://openalex.org/W2123487311","https://openalex.org/W2146169201","https://openalex.org/W2163448251","https://openalex.org/W2187637951","https://openalex.org/W2338595933","https://openalex.org/W2427096884","https://openalex.org/W2492575127","https://openalex.org/W2533672367","https://openalex.org/W2570372101","https://openalex.org/W2604181811","https://openalex.org/W2745638820","https://openalex.org/W2766840384","https://openalex.org/W2775132690","https://openalex.org/W2791714870","https://openalex.org/W2799746365","https://openalex.org/W2801067339","https://openalex.org/W2801832507","https://openalex.org/W2809536627","https://openalex.org/W2854690716","https://openalex.org/W2898944047","https://openalex.org/W2899205394","https://openalex.org/W2902062209","https://openalex.org/W2945610248","https://openalex.org/W2946040040","https://openalex.org/W2973611734","https://openalex.org/W2995715456","https://openalex.org/W3027048960","https://openalex.org/W4240000020","https://openalex.org/W4302068590"],"related_works":["https://openalex.org/W2089114113","https://openalex.org/W2389555968","https://openalex.org/W2352634297","https://openalex.org/W2320550378","https://openalex.org/W1619264321","https://openalex.org/W80107739","https://openalex.org/W2020144404","https://openalex.org/W2377099507","https://openalex.org/W3188389125","https://openalex.org/W3099642387"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,10,31,49,71,78,88,94,127,132,135],"solution":[4,67],"to":[5,30,48,121,145],"the":[6,21,37,58,109,123,149],"filtering":[7,66,82],"problem":[8],"for":[9,70,87,131,163],"class":[11],"of":[12,51,60,81,100,108,148],"stochastic":[13],"discrete-time":[14,74,164],"nonlinear":[15,45,73,166],"polynomial":[16,75,91,101,138],"systems":[17],"with":[18,157],"switching":[19,35],"in":[20,36],"state":[22,38,102],"equation":[23,39],"over":[24],"linear":[25,133],"observations":[26],"and":[27,62,77,111,140],"its":[28],"application":[29],"mechatronic":[32],"system.":[33],"The":[34,64,97,152],"is":[40,68,84,155],"performed":[41],"between":[42],"two":[43],"different":[44],"functions":[46,107],"according":[47],"sequence":[50],"independent":[52],"Bernoulli":[53],"random":[54],"variables":[55],"that":[56],"take":[57],"quantities":[59],"zero":[61],"one.":[63],"mean-square":[65,98],"obtained":[69,86],"general":[72],"system":[76,80,92],"finite-dimensional":[79],"equations":[83],"then":[85],"second":[89,136],"degree":[90,137],"as":[93,106],"particular":[95],"case.":[96],"estimates":[99],"terms":[103],"are":[104,118],"expressed":[105],"estimate":[110],"covariance":[112],"matrix.":[113],"Finally,":[114],"some":[115],"numerical":[116],"simulations":[117],"carried":[119],"out":[120],"reconstruct":[122],"variable":[124],"states":[125],"given":[126],"vector":[128],"output":[129],"measurement":[130],"system,":[134,139],"an":[141,158],"induction":[142],"motor":[143],"model":[144],"show":[146],"effectiveness":[147],"proposed":[150,153],"algorithm.":[151],"method":[154],"compared":[156],"extended":[159],"Kalman":[160],"filter-based":[161],"algorithm":[162],"switched":[165],"systems.":[167]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}