{"id":"https://openalex.org/W7128921535","doi":"https://doi.org/10.1177/09596518261416953","title":"Robust adaptive neural network trajectory tracking control design for the quadrotor UAV elastic suspension system","display_name":"Robust adaptive neural network trajectory tracking control design for the quadrotor UAV elastic suspension system","publication_year":2026,"publication_date":"2026-02-14","ids":{"openalex":"https://openalex.org/W7128921535","doi":"https://doi.org/10.1177/09596518261416953"},"language":"en","primary_location":{"id":"doi:10.1177/09596518261416953","is_oa":false,"landing_page_url":"https://doi.org/10.1177/09596518261416953","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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":null,"display_name":"Sen Yang","orcid":"https://orcid.org/0000-0002-6481-2134"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sen Yang","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China"],"raw_orcid":"https://orcid.org/0000-0002-6481-2134","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070695785","display_name":"Zeyu Zhang","orcid":"https://orcid.org/0009-0006-6540-2838"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongru Zhang","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019337228","display_name":"Peng Chang","orcid":"https://orcid.org/0000-0003-0936-7821"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Chang","raw_affiliation_strings":["School of Computer and Information Technology, Shanxi University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Shanxi University, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088881766","display_name":"Jigang Tong","orcid":"https://orcid.org/0000-0002-6740-4179"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jigang Tong","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126034944","display_name":"Tian Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tian Xie","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China"],"raw_orcid":"https://orcid.org/0000-0001-5303-1095","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043081567","display_name":"Jingyi Yan","orcid":"https://orcid.org/0000-0003-2978-3769"},"institutions":[{"id":"https://openalex.org/I4210103627","display_name":"BaiCheng Normal University","ror":"https://ror.org/01djkf495","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210103627"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingyi Yan","raw_affiliation_strings":["Tianjin Qicheng Science Technology Co., Ltd, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tianjin Qicheng Science Technology Co., Ltd, China","institution_ids":["https://openalex.org/I4210103627"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126031648","display_name":"Na Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Liu","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5126034944"],"corresponding_institution_ids":["https://openalex.org/I136765683"],"apc_list":null,"apc_paid":null,"fwci":7.0496,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.94836051,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"240","issue":"5","first_page":"907","last_page":"917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.7868000268936157,"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":0.7868000268936157,"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":0.0340999998152256,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.027400000020861626,"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":0.859000027179718},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6438000202178955},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.6355999708175659},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5242000222206116},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5224000215530396},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5062999725341797},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4733000099658966},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.46639999747276306},{"id":"https://openalex.org/keywords/radial-basis-function","display_name":"Radial basis function","score":0.46070000529289246}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.859000027179718},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6438000202178955},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.6355999708175659},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.544700026512146},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5242000222206116},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5224000215530396},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5062999725341797},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4733000099658966},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.46639999747276306},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.46070000529289246},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.44040000438690186},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3939000070095062},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.38190001249313354},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3749000132083893},{"id":"https://openalex.org/C65655974","wikidata":"https://www.wikidata.org/wiki/Q14867674","display_name":"Swing","level":2,"score":0.3562000095844269},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.35249999165534973},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.3521000146865845},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3407000005245209},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3100999891757965},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.2985999882221222},{"id":"https://openalex.org/C2778293426","wikidata":"https://www.wikidata.org/wiki/Q173613","display_name":"Active suspension","level":3,"score":0.29339998960494995},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.28859999775886536},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C132917294","wikidata":"https://www.wikidata.org/wiki/Q2679684","display_name":"Radial basis function network","level":4,"score":0.2685999870300293},{"id":"https://openalex.org/C145565327","wikidata":"https://www.wikidata.org/wiki/Q852514","display_name":"Motion control","level":3,"score":0.2612999975681305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/09596518261416953","is_oa":false,"landing_page_url":"https://doi.org/10.1177/09596518261416953","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.6267961263656616}],"awards":[{"id":"https://openalex.org/G231694488","display_name":null,"funder_award_id":"24YDTPJC00270","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6834347840","display_name":null,"funder_award_id":"62103298","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1957404087","https://openalex.org/W2028066543","https://openalex.org/W2559835363","https://openalex.org/W2589092250","https://openalex.org/W2735501192","https://openalex.org/W2913218449","https://openalex.org/W2923300881","https://openalex.org/W2969936949","https://openalex.org/W2981371236","https://openalex.org/W3011186730","https://openalex.org/W3032217820","https://openalex.org/W3091020507","https://openalex.org/W3115078345","https://openalex.org/W3127821438","https://openalex.org/W3131968463","https://openalex.org/W3195230107","https://openalex.org/W3195888136","https://openalex.org/W3215873540","https://openalex.org/W4205486846","https://openalex.org/W4319080211","https://openalex.org/W4364321445","https://openalex.org/W4381853292","https://openalex.org/W4386379772","https://openalex.org/W4394609419","https://openalex.org/W4396538117","https://openalex.org/W4404755700"],"related_works":[],"abstract_inverted_index":{"For":[0],"the":[1,16,24,36,43,71,74],"problems":[2],"of":[3,18,27,61,73],"difficult":[4],"position":[5],"control":[6,55,76],"and":[7],"load":[8],"swing":[9],"reduction":[10],"caused":[11],"by":[12],"external":[13,44],"disturbances":[14],"in":[15],"system":[17,63],"quadrotor":[19],"UAV":[20],"with":[21],"suspended":[22],"load,":[23],"approximation":[25],"ability":[26],"radial":[28],"basis":[29],"function":[30,38],"neural":[31,50],"network":[32,51],"(RBFNN)":[33],"algorithm":[34],"to":[35,41],"unknown":[37],"is":[39,57,64,78],"used":[40],"compensate":[42],"disturbances.":[45],"A":[46],"new":[47],"robust":[48],"adaptive":[49],"(RANN)":[52],"trajectory":[53],"tracking":[54],"scheme":[56,77],"designed.":[58],"The":[59],"stability":[60,68],"closed-loop":[62],"analyzed":[65],"through":[66],"Lyapunov":[67],"theory.":[69],"Finally,":[70],"performance":[72],"proposed":[75],"verified":[79],"via":[80],"numerical":[81],"simulations.":[82]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-02-15T00:00:00"}