{"id":"https://openalex.org/W3026429188","doi":"https://doi.org/10.1109/access.2020.2995581","title":"Nonlinear Error Compensation of Capacitive Angular Encoders Based on Improved Particle Swarm Optimization Support Vector Machines","display_name":"Nonlinear Error Compensation of Capacitive Angular Encoders Based on Improved Particle Swarm Optimization Support Vector Machines","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3026429188","doi":"https://doi.org/10.1109/access.2020.2995581","mag":"3026429188"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2995581","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2995581","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09096279.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/ielx7/6287639/8948470/09096279.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101715133","display_name":"Bo Hou","orcid":"https://orcid.org/0000-0002-4030-0716"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Hou","raw_affiliation_strings":["Research Center for Navigation Technology, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-4030-0716","affiliations":[{"raw_affiliation_string":"Research Center for Navigation Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016259130","display_name":"Bin Zhou","orcid":"https://orcid.org/0000-0002-7206-6418"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Zhou","raw_affiliation_strings":["Research Center for Navigation Technology, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7206-6418","affiliations":[{"raw_affiliation_string":"Research Center for Navigation Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100706630","display_name":"Xiang Li","orcid":"https://orcid.org/0000-0002-0018-3711"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang Li","raw_affiliation_strings":["Research Center for Navigation Technology, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-0018-3711","affiliations":[{"raw_affiliation_string":"Research Center for Navigation Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087580442","display_name":"Luying Yi","orcid":"https://orcid.org/0000-0002-6542-8425"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luying Yi","raw_affiliation_strings":["State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6542-8425","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101466737","display_name":"Qi Wei","orcid":"https://orcid.org/0000-0002-9882-247X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wei","raw_affiliation_strings":["Research Center for Navigation Technology, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9882-247X","affiliations":[{"raw_affiliation_string":"Research Center for Navigation Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022325814","display_name":"Rong Zhang","orcid":"https://orcid.org/0000-0002-9872-2954"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Zhang","raw_affiliation_strings":["Research Center for Navigation Technology, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9872-2954","affiliations":[{"raw_affiliation_string":"Research Center for Navigation Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101715133"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.6477,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71591018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"124265","last_page":"124274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12564","display_name":"Sensor Technology and Measurement Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12564","display_name":"Sensor Technology and Measurement Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T13928","display_name":"Advanced Sensor Technologies Research","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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":0.979200005531311,"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/compensation","display_name":"Compensation (psychology)","score":0.7191057205200195},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.683473527431488},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.6799983382225037},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6692856550216675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6440003514289856},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5955320596694946},{"id":"https://openalex.org/keywords/compensation-methods","display_name":"Compensation methods","score":0.5380145907402039},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4941079914569855},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47099727392196655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4288256764411926},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32497555017471313}],"concepts":[{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.7191057205200195},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.683473527431488},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.6799983382225037},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6692856550216675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6440003514289856},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5955320596694946},{"id":"https://openalex.org/C525452385","wikidata":"https://www.wikidata.org/wiki/Q5156265","display_name":"Compensation methods","level":4,"score":0.5380145907402039},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4941079914569855},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47099727392196655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4288256764411926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32497555017471313},{"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/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C39453970","wikidata":"https://www.wikidata.org/wiki/Q7317267","display_name":"Return on marketing investment","level":3,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C98495876","wikidata":"https://www.wikidata.org/wiki/Q1323528","display_name":"Digital marketing","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2995581","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2995581","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09096279.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:b435b8fc1ad849d5abff671d98a5f85e","is_oa":true,"landing_page_url":"https://doaj.org/article/b435b8fc1ad849d5abff671d98a5f85e","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 124265-124274 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2995581","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2995581","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09096279.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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3026429188.pdf","grobid_xml":"https://content.openalex.org/works/W3026429188.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1963682480","https://openalex.org/W1968528316","https://openalex.org/W1987907306","https://openalex.org/W2010238760","https://openalex.org/W2011431440","https://openalex.org/W2045020441","https://openalex.org/W2049412777","https://openalex.org/W2059875428","https://openalex.org/W2060477610","https://openalex.org/W2078776687","https://openalex.org/W2095793361","https://openalex.org/W2108422414","https://openalex.org/W2150620143","https://openalex.org/W2219598583","https://openalex.org/W2249765239","https://openalex.org/W2492701643","https://openalex.org/W2513361439","https://openalex.org/W2606310979","https://openalex.org/W2609392130","https://openalex.org/W2741488669","https://openalex.org/W2745346772","https://openalex.org/W2763744422","https://openalex.org/W2769354266","https://openalex.org/W2781639256","https://openalex.org/W2783445910","https://openalex.org/W2783502314","https://openalex.org/W2791937529","https://openalex.org/W2792243774","https://openalex.org/W2803587415","https://openalex.org/W2809206168","https://openalex.org/W2868993523","https://openalex.org/W2947689931"],"related_works":["https://openalex.org/W3100222994","https://openalex.org/W3113185658","https://openalex.org/W2084301986","https://openalex.org/W2023854778","https://openalex.org/W2353625970","https://openalex.org/W4384565310","https://openalex.org/W2383027365","https://openalex.org/W156332529","https://openalex.org/W2367360520","https://openalex.org/W2367845478"],"abstract_inverted_index":{"Rotary":[0],"encoders":[1,125,187],"are":[2,60],"widely":[3],"applied":[4,108],"in":[5],"a":[6,68,140],"variety":[7],"of":[8,15,26,63,99,120,129,149],"industrial":[9],"fields.":[10],"However,":[11],"as":[12],"the":[13,16,23,27,36,48,93,97,100,104,111,116,136,145,169,171,180,184],"exist":[14],"installation,":[17],"processing":[18],"and":[19,35,53,78,103,144],"demodulation":[20],"circuits":[21],"errors,":[22],"test":[24],"result":[25],"encoder":[28,37],"is":[29,83,107],"superimposed":[30],"with":[31,126],"periodic":[32],"nonlinear":[33,65,146,181],"errors":[34,182],"needs":[38],"compensation":[39,101,160,178],"to":[40,85,109,157,163,183],"achieve":[41],"high":[42],"measurement":[43,165],"accuracy.":[44],"Traditional":[45],"methods":[46],"including":[47],"least":[49],"square":[50],"method":[51,70,91,95],"(LSM)":[52],"back":[54],"propagation":[55],"artificial":[56],"neural":[57],"network":[58],"(BP-ANN),":[59],"not":[61],"capable":[62],"addressing":[64],"errors.":[66],"Thus,":[67],"novel":[69],"based":[71],"on":[72,168,179],"improved":[73],"particle":[74],"swarm":[75],"optimization":[76],"(IPSO)":[77],"support":[79],"vector":[80],"machines":[81],"(SVM)":[82],"proposed":[84,90,172],"provide":[86],"better":[87,141],"compensation.":[88],"The":[89,131],"incorporates":[92],"SVM":[94,112],"into":[96],"design":[98],"model,":[102],"IPSO":[105],"algorithm":[106,138],"tune":[110],"parameters.":[113],"To":[114],"validate":[115],"algorithm,":[117],"four":[118],"sets":[119],"data":[121],"were":[122],"obtained":[123],"from":[124,155],"different":[127],"numbers":[128,152],"segments.":[130],"experimental":[132],"results":[133],"show":[134],"that":[135],"IPSO-SVM":[137,173],"has":[139,153],"prediction":[142],"precision":[143],"standard":[147],"deviation":[148],"180":[150],"petal-shaped":[151],"dropped":[154],"0.08\u00b0":[156],"0.0005\u00b0":[158],"after":[159],"over":[161],"0\u00b0":[162],"360\u00b0":[164],"range.":[166],"Based":[167],"results,":[170],"model":[174],"provided":[175],"more":[176],"accurate":[177],"capacitive":[185],"angular":[186],"than":[188],"other":[189],"method.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}