{"id":"https://openalex.org/W2044698172","doi":"https://doi.org/10.1109/tcst.2015.2396851","title":"A Robust Adaptive RBFNN Augmenting Backstepping Control Approach for a Model-Scaled Helicopter","display_name":"A Robust Adaptive RBFNN Augmenting Backstepping Control Approach for a Model-Scaled Helicopter","publication_year":2015,"publication_date":"2015-03-04","ids":{"openalex":"https://openalex.org/W2044698172","doi":"https://doi.org/10.1109/tcst.2015.2396851","mag":"2044698172"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2015.2396851","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2015.2396851","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","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/A5007266631","display_name":"Yao Zou","orcid":"https://orcid.org/0000-0002-7579-3813"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Zou","raw_affiliation_strings":["Science and Technology on Aircraft Control Laboratory, Seventh Research Division, Beihang University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-7579-3813","affiliations":[{"raw_affiliation_string":"Science and Technology on Aircraft Control Laboratory, Seventh Research Division, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003004840","display_name":"Zewei Zheng","orcid":"https://orcid.org/0000-0001-9412-4271"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zewei Zheng","raw_affiliation_strings":["Science and Technology on Aircraft Control Laboratory, Seventh Research Division, Beihang University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Science and Technology on Aircraft Control Laboratory, Seventh Research Division, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":11.0203,"has_fulltext":false,"cited_by_count":116,"citation_normalized_percentile":{"value":0.98512174,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"23","issue":"6","first_page":"2344","last_page":"2352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":1.0,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/backstepping","display_name":"Backstepping","score":0.9785469174385071},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8119227886199951},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.6496469974517822},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5602561831474304},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5376793742179871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5067122578620911},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.4897144138813019},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4879869818687439},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4266059398651123},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.3936927616596222},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3338159918785095},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3235318660736084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24069353938102722},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22341397404670715},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09396520256996155}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.9785469174385071},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8119227886199951},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.6496469974517822},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5602561831474304},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5376793742179871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5067122578620911},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.4897144138813019},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4879869818687439},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4266059398651123},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.3936927616596222},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3338159918785095},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3235318660736084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24069353938102722},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22341397404670715},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09396520256996155},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcst.2015.2396851","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2015.2396851","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1496621204","https://openalex.org/W1521190772","https://openalex.org/W1969540296","https://openalex.org/W1971198773","https://openalex.org/W1982214011","https://openalex.org/W1996664092","https://openalex.org/W1999707791","https://openalex.org/W2009215196","https://openalex.org/W2020596437","https://openalex.org/W2024218046","https://openalex.org/W2025990330","https://openalex.org/W2040060055","https://openalex.org/W2049933349","https://openalex.org/W2051207987","https://openalex.org/W2055000893","https://openalex.org/W2056800189","https://openalex.org/W2057819569","https://openalex.org/W2062774641","https://openalex.org/W2068057382","https://openalex.org/W2071447482","https://openalex.org/W2098080983","https://openalex.org/W2100546477","https://openalex.org/W2105265556","https://openalex.org/W2108116923","https://openalex.org/W2111519493","https://openalex.org/W2124308301","https://openalex.org/W2126578616","https://openalex.org/W2142577696","https://openalex.org/W2155250432","https://openalex.org/W2175091750","https://openalex.org/W2396887291","https://openalex.org/W6712390178"],"related_works":["https://openalex.org/W1505013685","https://openalex.org/W2794899516","https://openalex.org/W2290047169","https://openalex.org/W2172432712","https://openalex.org/W2056849404","https://openalex.org/W2164132381","https://openalex.org/W1967964192","https://openalex.org/W1987356574","https://openalex.org/W3111316695","https://openalex.org/W2316858609"],"abstract_inverted_index":{"This":[0,125],"brief":[1],"investigates":[2],"the":[3,46,58,85,90,94,97,102,118,122,136,142,145],"trajectory":[4],"tracking":[5],"problem":[6],"for":[7],"a":[8,12,73,77],"model-scaled":[9],"helicopter":[10,27,138],"with":[11,37,76],"novel":[13],"robust":[14,54,62,78,91],"adaptive":[15],"radial":[16],"basis":[17],"function":[18,70],"neural":[19,86],"network":[20],"(RBFNN)":[21],"augmenting":[22],"backstepping":[23,123],"control":[24,48,92,147],"approach.":[25,148],"The":[26,80],"model":[28],"is":[29,43,51,129],"first":[30],"decomposed":[31],"into":[32],"an":[33,65],"approximate":[34,57,115],"strict-feedback":[35],"format":[36],"some":[38],"unmodeled":[39,59],"dynamics.":[40,60],"Backstepping":[41],"technique":[42],"employed":[44,113],"as":[45],"main":[47],"framework,":[49],"which":[50],"augmented":[52],"by":[53],"RBFNNs":[55],"to":[56,71,114,131],"Each":[61],"RBFNN":[63,75,82],"utilizes":[64],"n":[66],"th-order":[67],"smooth":[68],"switching":[69],"combine":[72],"conventional":[74,81],"control.":[79],"dominates":[83],"in":[84,121],"active":[87,98],"region,":[88,99],"while":[89],"retrieves":[93],"transient":[95],"outside":[96],"so":[100],"that":[101],"stability":[103],"range":[104],"can":[105],"be":[106],"widened.":[107],"In":[108],"addition,":[109],"command":[110],"filters":[111],"are":[112],"derivatives":[116],"of":[117,135,144],"virtual":[119],"controls":[120],"procedure.":[124],"systematic":[126],"design":[127],"methodology":[128],"proven":[130],"achieve":[132],"ultimate":[133],"boundedness":[134],"closed-loop":[137],"system.":[139],"Simulations":[140],"validate":[141],"effectiveness":[143],"proposed":[146]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}