{"id":"https://openalex.org/W2986782243","doi":"https://doi.org/10.1109/access.2019.2951804","title":"Remaining Useful Life Prediction for Nonlinear Degraded Equipment With Bivariate Time Scales","display_name":"Remaining Useful Life Prediction for Nonlinear Degraded Equipment With Bivariate Time Scales","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2986782243","doi":"https://doi.org/10.1109/access.2019.2951804","mag":"2986782243"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2951804","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2951804","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08892551.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/ielx7/6287639/8600701/08892551.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008031342","display_name":"Hong Pei","orcid":"https://orcid.org/0000-0002-9105-0120"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Pei","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-9105-0120","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101794519","display_name":"Changhua Hu","orcid":"https://orcid.org/0000-0002-9983-5061"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changhua Hu","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-9983-5061","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067994505","display_name":"Xiaosheng Si","orcid":"https://orcid.org/0000-0001-5226-9923"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaosheng Si","raw_affiliation_strings":["of , Rocket Force University of Engineering, Xi'an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-5226-9923","affiliations":[{"raw_affiliation_string":"of , Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062110273","display_name":"Jianfei Zheng","orcid":"https://orcid.org/0000-0001-8807-401X"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianfei Zheng","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-8807-401X","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103235108","display_name":"Qi Zhang","orcid":"https://orcid.org/0000-0003-4541-420X"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Zhang","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-4541-420X","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036129864","display_name":"Zhengxin Zhang","orcid":"https://orcid.org/0000-0003-1726-0178"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengxin Zhang","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-1726-0178","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081959415","display_name":"Zhenan Pang","orcid":"https://orcid.org/0000-0003-4309-4003"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenan Pang","raw_affiliation_strings":["Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","Department of Automation, Rocket Force University of Engineering, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0003-4309-4003","affiliations":[{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi\u2019an, China","institution_ids":["https://openalex.org/I2801618472"]},{"raw_affiliation_string":"Department of Automation, Rocket Force University of Engineering, Xi'an, China","institution_ids":["https://openalex.org/I2801618472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2801618472"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9512,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.74287029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"165166","last_page":"165180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10396","display_name":"Fatigue and fracture mechanics","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/bivariate-analysis","display_name":"Bivariate analysis","score":0.7645805478096008},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.718103289604187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.625357449054718},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.5637333393096924},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5386720895767212},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4380645751953125},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32200902700424194},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1375877559185028},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11598163843154907}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.7645805478096008},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.718103289604187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.625357449054718},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.5637333393096924},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5386720895767212},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4380645751953125},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32200902700424194},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1375877559185028},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11598163843154907},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum 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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2951804","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2951804","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08892551.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:0017b5cd8cc14896a971262f02b65933","is_oa":true,"landing_page_url":"https://doaj.org/article/0017b5cd8cc14896a971262f02b65933","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 7, Pp 165166-165180 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2951804","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2951804","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08892551.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":[{"display_name":"Responsible consumption and production","score":0.550000011920929,"id":"https://metadata.un.org/sdg/12"}],"awards":[{"id":"https://openalex.org/G2464202759","display_name":null,"funder_award_id":"61773386","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2885405594","display_name":null,"funder_award_id":"61573366","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5852167102","display_name":null,"funder_award_id":"61922089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6872528065","display_name":null,"funder_award_id":"61573365","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7343347525","display_name":null,"funder_award_id":"61903376","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7535277257","display_name":null,"funder_award_id":"61833016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2986782243.pdf","grobid_xml":"https://content.openalex.org/works/W2986782243.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1975926886","https://openalex.org/W1988545738","https://openalex.org/W1996937038","https://openalex.org/W2023083702","https://openalex.org/W2055873761","https://openalex.org/W2061659083","https://openalex.org/W2072999804","https://openalex.org/W2078470838","https://openalex.org/W2108898839","https://openalex.org/W2126432428","https://openalex.org/W2155832827","https://openalex.org/W2165933339","https://openalex.org/W2208827946","https://openalex.org/W2319025975","https://openalex.org/W2473198494","https://openalex.org/W2473294140","https://openalex.org/W2599868532","https://openalex.org/W2612904117","https://openalex.org/W2772084711","https://openalex.org/W2772550576","https://openalex.org/W2773549135","https://openalex.org/W2791384746","https://openalex.org/W2791632718","https://openalex.org/W2792916989","https://openalex.org/W2804604632","https://openalex.org/W2805531876","https://openalex.org/W2807490715","https://openalex.org/W2897557170","https://openalex.org/W2904460913","https://openalex.org/W2944290312","https://openalex.org/W2944647284","https://openalex.org/W2981973403","https://openalex.org/W3083163668","https://openalex.org/W3086130812","https://openalex.org/W6782820712","https://openalex.org/W6783297842"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W4232399475","https://openalex.org/W3090632489","https://openalex.org/W2953080444","https://openalex.org/W2761997784","https://openalex.org/W2905704202","https://openalex.org/W2177739813"],"abstract_inverted_index":{"As":[0],"the":[1,16,41,48,83,93,97,100,103,114,118,129,140,145,169,175,180,188,197],"fundamental":[2],"and":[3,32,61,120,156,168,177,202],"prerequisite":[4],"work":[5],"of":[6,18,43,85,117,131,143,172,179,199],"remaining":[7],"useful":[8],"life":[9,119],"(RUL)":[10],"prediction,":[11,201],"degradation":[12,22,49,59,80],"modeling":[13,60],"directly":[14],"affects":[15],"accuracy":[17,198],"RUL":[19,62,121,200],"prediction.":[20],"Existing":[21],"models":[23],"are":[24,126],"all":[25],"developed":[26,161],"under":[27,128],"a":[28,57,78,204],"single":[29],"time":[30,45,72,87,134],"scale,":[31],"less":[33],"research":[34],"has":[35,203],"been":[36],"carried":[37],"out":[38],"to":[39,138],"consider":[40],"impact":[42],"multiple":[44],"scales":[46,73,88,105],"on":[47,92,151],"model.":[50],"Toward":[51],"this":[52,75,163,192],"end,":[53],"we":[54],"mainly":[55],"study":[56],"nonlinear":[58,66,79,123],"prediction":[63],"method":[64,149,189],"for":[65,122],"stochastic":[67],"degraded":[68,124],"equipment":[69,125],"with":[70],"bivariate":[71],"in":[74,162,191],"paper.":[76,164],"Firstly,":[77],"model":[81,146],"considering":[82],"influence":[84],"two":[86,104],"is":[89,106,160],"constructed":[90],"based":[91,150],"diffusion":[94],"process.":[95],"At":[96],"same":[98],"time,":[99],"relationship":[101],"between":[102],"quantitatively":[107],"characterized":[108],"by":[109],"random":[110],"proportional":[111],"coefficient.":[112],"Then,":[113],"analytical":[115],"expressions":[116],"derived":[127],"concept":[130],"first":[132],"passage":[133],"(FPT).":[135],"In":[136],"order":[137],"realize":[139],"adaptive":[141],"estimation":[142,148,154],"parameters,":[144],"parameters":[147],"maximum":[152],"likelihood":[153],"(MLE)":[155],"Kalman":[157],"filtering":[158],"algorithm":[159],"Finally,":[165],"numerical":[166],"simulation":[167],"monitoring":[170],"data":[171],"gyroscope":[173],"verify":[174],"effectiveness":[176],"superiority":[178],"proposed":[181,190],"method.":[182],"The":[183],"experimental":[184],"results":[185],"show":[186],"that":[187],"paper":[193],"can":[194],"effectively":[195],"improve":[196],"broad":[205],"engineering":[206],"application":[207],"space.":[208]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
