{"id":"https://openalex.org/W3112790864","doi":"https://doi.org/10.1109/access.2020.3044272","title":"An Over-Sampling Amplitude-Limited Variational Bayesian Method for the Identification of Hammerstein Model","display_name":"An Over-Sampling Amplitude-Limited Variational Bayesian Method for the Identification of Hammerstein Model","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3112790864","doi":"https://doi.org/10.1109/access.2020.3044272","mag":"3112790864"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3044272","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3044272","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09293125.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09293125.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101742345","display_name":"Baochang Xu","orcid":"https://orcid.org/0000-0002-5439-539X"},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baochang Xu","raw_affiliation_strings":["Department of Automation, China University of Petroleum, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, China University of Petroleum, Beijing, China","institution_ids":["https://openalex.org/I204553293"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027178579","display_name":"Likun Yuan","orcid":"https://orcid.org/0000-0001-8374-8951"},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Likun Yuan","raw_affiliation_strings":["Department of Automation, China University of Petroleum, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-8374-8951","affiliations":[{"raw_affiliation_string":"Department of Automation, China University of Petroleum, Beijing, China","institution_ids":["https://openalex.org/I204553293"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036779080","display_name":"Yaxin Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaxin Wang","raw_affiliation_strings":["Department of Automation, China University of Petroleum, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7168-5399","affiliations":[{"raw_affiliation_string":"Department of Automation, China University of Petroleum, Beijing, China","institution_ids":["https://openalex.org/I204553293"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204553293"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1778628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"224702","last_page":"224711"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991000294685364,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/bayesian-probability","display_name":"Bayesian probability","score":0.6631258726119995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5992611646652222},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5714609026908875},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5509006381034851},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5375425815582275},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4037390351295471},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3587818741798401},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3518522083759308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3481493592262268},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2998228371143341},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0927976667881012},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07713669538497925}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6631258726119995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5992611646652222},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5714609026908875},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5509006381034851},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5375425815582275},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4037390351295471},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3587818741798401},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3518522083759308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3481493592262268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2998228371143341},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0927976667881012},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07713669538497925},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3044272","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3044272","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09293125.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0daf63ddce79496fb58b914bceafaabd","is_oa":true,"landing_page_url":"https://doaj.org/article/0daf63ddce79496fb58b914bceafaabd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 224702-224711 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3044272","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3044272","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09293125.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3112790864.pdf","grobid_xml":"https://content.openalex.org/works/W3112790864.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W201713922","https://openalex.org/W1482216827","https://openalex.org/W1552850791","https://openalex.org/W1965324089","https://openalex.org/W1976410223","https://openalex.org/W2000021055","https://openalex.org/W2005691328","https://openalex.org/W2030766691","https://openalex.org/W2032131379","https://openalex.org/W2050186914","https://openalex.org/W2052957245","https://openalex.org/W2066021453","https://openalex.org/W2068045302","https://openalex.org/W2074006761","https://openalex.org/W2095923908","https://openalex.org/W2103974645","https://openalex.org/W2120115609","https://openalex.org/W2129796157","https://openalex.org/W2130206201","https://openalex.org/W2288189434","https://openalex.org/W2337088915","https://openalex.org/W2343292936","https://openalex.org/W2358060466","https://openalex.org/W2365760482","https://openalex.org/W2382919377","https://openalex.org/W2389663791","https://openalex.org/W2569381866","https://openalex.org/W2725307583","https://openalex.org/W2735361827","https://openalex.org/W2744082003","https://openalex.org/W4253271010"],"related_works":["https://openalex.org/W2004357175","https://openalex.org/W2064502186","https://openalex.org/W1990192565","https://openalex.org/W2898732673","https://openalex.org/W2011422850","https://openalex.org/W2319366721","https://openalex.org/W3174521120","https://openalex.org/W2168410743","https://openalex.org/W2410053581","https://openalex.org/W2383658677"],"abstract_inverted_index":{"Chemical":[0],"industrial":[1,24],"processes":[2,138],"involve":[3],"numerous":[4],"multivariable":[5,68],"nonlinear":[6,69,107],"systems.":[7],"Nonlinear":[8],"Muli-Input":[9],"Muli-Output":[10],"(MIMO)":[11],"models":[12],"seem":[13],"more":[14],"suitable":[15],"to":[16,52,127,152],"represent":[17],"most":[18],"systems":[19,32],"and":[20,97,150],"control":[21],"problems":[22],"in":[23,74,80],"processes.":[25],"Furthermore,":[26,132],"the":[27,30,37,44,47,54,57,86,89,106,111,117,121,137,145,153],"outputs":[28],"of":[29,46,56,88,120],"real":[31],"might":[33],"be":[34],"corrupted":[35],"with":[36,67],"colored":[38,58,143],"noises,":[39,59],"which":[40],"do":[41],"not":[42,114],"satisfy":[43],"assumption":[45],"white":[48],"noises.":[49],"In":[50],"order":[51],"solve":[53],"impact":[55],"an":[60],"Amplitude-Limiting":[61],"Variational":[62,90],"Bayesian":[63,91],"(ALVB)":[64],"method":[65,84,93],"combined":[66],"model":[70,96,108],"(Hammerstein":[71,109],"model)":[72],"working":[73],"over-sampling":[75,98],"closed-loop":[76,99],"structure":[77,123],"is":[78,85,141],"proposed":[79,112,146],"this":[81],"article.":[82],"This":[83],"improvement":[87],"(VB)":[92],"combining":[94],"Hammerstein":[95],"structure.":[100],"Simulation":[101],"experiments":[102],"show":[103],"that":[104,136],"for":[105],"model),":[110],"algorithm":[113,147],"only":[115],"overcomes":[116],"unidentifiable":[118],"disadvantage":[119],"traditional":[122],"but":[124],"also":[125],"contributes":[126],"a":[128,142],"higher":[129],"identification":[130],"accuracy.":[131,155],"even":[133],"under":[134],"situation":[135],"output":[139],"noise":[140],"noise,":[144],"still":[148],"maintains":[149],"converges":[151],"achieved":[154]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}