{"id":"https://openalex.org/W4403309280","doi":"https://doi.org/10.32604/cmc.2024.055412","title":"Adaptive Nonlinear PD Controller of Two-Wheeled Self-Balancing Robot with External Force","display_name":"Adaptive Nonlinear PD Controller of Two-Wheeled Self-Balancing Robot with External Force","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403309280","doi":"https://doi.org/10.32604/cmc.2024.055412"},"language":"en","primary_location":{"id":"doi:10.32604/cmc.2024.055412","is_oa":true,"landing_page_url":"https://doi.org/10.32604/cmc.2024.055412","pdf_url":"https://cdn.techscience.press/files/cmc/2024/TSP_CMC-81-2/TSP_CMC_55412/TSP_CMC_55412.pdf","source":{"id":"https://openalex.org/S4210191605","display_name":"Computers, materials & continua/Computers, materials & continua (Print)","issn_l":"1546-2218","issn":["1546-2218","1546-2226"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers, Materials & Continua","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://cdn.techscience.press/files/cmc/2024/TSP_CMC-81-2/TSP_CMC_55412/TSP_CMC_55412.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052113946","display_name":"Van\u2010Truong Nguyen","orcid":"https://orcid.org/0000-0001-6464-2115"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Van-Truong Nguyen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111361255","display_name":"Dai-Nhan Duong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dai-Nhan Duong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082769763","display_name":"Dinh-Hieu Phan","orcid":"https://orcid.org/0000-0002-1482-1139"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dinh-Hieu Phan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074840929","display_name":"Thanh-Lam Bui","orcid":"https://orcid.org/0000-0003-2859-6670"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thanh-Lam Bui","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022703513","display_name":"Xiem HoangVan","orcid":"https://orcid.org/0000-0002-7524-6529"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiem HoangVan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073937678","display_name":"Phan Xuan Tan","orcid":"https://orcid.org/0000-0002-9592-0226"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Phan Xuan Tan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5052113946"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.26,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9481947,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"81","issue":"2","first_page":"2337","last_page":"2356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.954800009727478,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.954800009727478,"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/T14011","display_name":"Elevator Systems and Control","score":0.9182000160217285,"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/T14474","display_name":"Industrial Technology and Control Systems","score":0.9158999919891357,"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/control-theory","display_name":"Control theory (sociology)","score":0.7518675923347473},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6477381587028503},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.5246948599815369},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4466203451156616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43398287892341614},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.35990047454833984},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22238829731941223},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20899176597595215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1380152702331543},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10983258485794067},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05951717495918274}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7518675923347473},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6477381587028503},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.5246948599815369},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4466203451156616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43398287892341614},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.35990047454833984},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22238829731941223},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20899176597595215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1380152702331543},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10983258485794067},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05951717495918274},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.32604/cmc.2024.055412","is_oa":true,"landing_page_url":"https://doi.org/10.32604/cmc.2024.055412","pdf_url":"https://cdn.techscience.press/files/cmc/2024/TSP_CMC-81-2/TSP_CMC_55412/TSP_CMC_55412.pdf","source":{"id":"https://openalex.org/S4210191605","display_name":"Computers, materials & continua/Computers, materials & continua (Print)","issn_l":"1546-2218","issn":["1546-2218","1546-2226"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers, Materials & Continua","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.32604/cmc.2024.055412","is_oa":true,"landing_page_url":"https://doi.org/10.32604/cmc.2024.055412","pdf_url":"https://cdn.techscience.press/files/cmc/2024/TSP_CMC-81-2/TSP_CMC_55412/TSP_CMC_55412.pdf","source":{"id":"https://openalex.org/S4210191605","display_name":"Computers, materials & continua/Computers, materials & continua (Print)","issn_l":"1546-2218","issn":["1546-2218","1546-2226"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers, Materials & Continua","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403309280.pdf","grobid_xml":"https://content.openalex.org/works/W4403309280.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W394375848","https://openalex.org/W1966458911","https://openalex.org/W2768458048","https://openalex.org/W2792603842","https://openalex.org/W2794703413","https://openalex.org/W2818868293","https://openalex.org/W2902113764","https://openalex.org/W2912659361","https://openalex.org/W2944372509","https://openalex.org/W2950672875","https://openalex.org/W2951213374","https://openalex.org/W2953132306","https://openalex.org/W2982486312","https://openalex.org/W3010375020","https://openalex.org/W3021688048","https://openalex.org/W3038468409","https://openalex.org/W3044503720","https://openalex.org/W3086040918","https://openalex.org/W3094704314","https://openalex.org/W3107181723","https://openalex.org/W3121095087","https://openalex.org/W3156168688","https://openalex.org/W4205624211","https://openalex.org/W4210354141","https://openalex.org/W4240321558","https://openalex.org/W4249545506","https://openalex.org/W6751535212","https://openalex.org/W6752811389","https://openalex.org/W6755377614","https://openalex.org/W6767299810","https://openalex.org/W6776032638","https://openalex.org/W6793510278","https://openalex.org/W6840665396","https://openalex.org/W6840974395","https://openalex.org/W6843597273","https://openalex.org/W6846480257"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2000675896"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3],"adaptive":[4],"nonlinear":[5],"proportional-derivative":[6],"(ANPD)":[7],"controller":[8],"for":[9],"a":[10],"two-wheeled":[11],"self-balancing":[12],"robot":[13],"(TWSB)":[14],"modeled":[15],"by":[16],"the":[17,36],"Lagrange":[18],"equation":[19],"with":[20],"external":[21],"forces.":[22],"The":[23],"proposed":[24],"control":[25],"scheme":[26],"is":[27],"designed":[28],"...":[29],"|":[30],"Find,":[31],"read":[32],"and":[33],"cite":[34],"all":[35],"research":[37],"you":[38],"need":[39],"on":[40],"Tech":[41],"Science":[42],"Press":[43]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}