{"id":"https://openalex.org/W4416127605","doi":"https://doi.org/10.1177/09596518251383219","title":"An event-triggered adaptive dynamic programming control strategy based on recursive terminal sliding mode","display_name":"An event-triggered adaptive dynamic programming control strategy based on recursive terminal sliding mode","publication_year":2025,"publication_date":"2025-11-11","ids":{"openalex":"https://openalex.org/W4416127605","doi":"https://doi.org/10.1177/09596518251383219"},"language":"en","primary_location":{"id":"doi:10.1177/09596518251383219","is_oa":false,"landing_page_url":"https://doi.org/10.1177/09596518251383219","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":"https://openalex.org/A5073034417","display_name":"Chao Jia","orcid":"https://orcid.org/0000-0003-0563-5796"},"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":"Chao Jia","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China","Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, Tianjin University of Technology, China"],"raw_orcid":"https://orcid.org/0000-0003-0563-5796","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]},{"raw_affiliation_string":"Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053580135","display_name":"Xue\u2013Qian Li","orcid":"https://orcid.org/0000-0002-1197-3743"},"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":"Xueqian Li","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China","Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, 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"]},{"raw_affiliation_string":"Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101946568","display_name":"Yunjie Zhang","orcid":"https://orcid.org/0000-0001-8379-5088"},"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":"Yunjie Zhang","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China","Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, 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"]},{"raw_affiliation_string":"Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002137933","display_name":"Xuanyu Chen","orcid":"https://orcid.org/0009-0000-7423-9063"},"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":"Xuanyu Chen","raw_affiliation_strings":["School of Electrical Engineering and Automation, Tianjin University of Technology, China","Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, 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"]},{"raw_affiliation_string":"Tianjin Key Laboratory of New Energy Power Conversion Transmission and Intelligent Control, Tianjin University of Technology, China","institution_ids":["https://openalex.org/I136765683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073034417"],"corresponding_institution_ids":["https://openalex.org/I136765683"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33585723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"240","issue":"1","first_page":"48","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9952999949455261,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9952999949455261,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.0010999999940395355,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.8223000168800354},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.6161999702453613},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5799999833106995},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.567799985408783},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5544000267982483},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5449000000953674},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5199999809265137},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.4957999885082245},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4952000081539154},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.44850000739097595}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8223000168800354},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.6161999702453613},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5799999833106995},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.567799985408783},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5544000267982483},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5449000000953674},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5199999809265137},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.4957999885082245},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4952000081539154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4893999993801117},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.44850000739097595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4302999973297119},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.41019999980926514},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4072999954223633},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.38940000534057617},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C2777539142","wikidata":"https://www.wikidata.org/wiki/Q7702746","display_name":"Terminal sliding mode","level":4,"score":0.37599998712539673},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.36079999804496765},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.35589998960494995},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.31610000133514404},{"id":"https://openalex.org/C185109637","wikidata":"https://www.wikidata.org/wiki/Q7915740","display_name":"Variable structure control","level":4,"score":0.3158000111579895},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2978000044822693},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.28189998865127563},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.2808000147342682},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2651999890804291}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/09596518251383219","is_oa":false,"landing_page_url":"https://doi.org/10.1177/09596518251383219","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":[],"awards":[{"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":41,"referenced_works":["https://openalex.org/W1599132769","https://openalex.org/W1975472125","https://openalex.org/W1978921618","https://openalex.org/W2002445862","https://openalex.org/W2031788461","https://openalex.org/W2035003264","https://openalex.org/W2145927126","https://openalex.org/W2165726932","https://openalex.org/W2312229020","https://openalex.org/W2509783950","https://openalex.org/W2538000344","https://openalex.org/W2583050531","https://openalex.org/W2749481129","https://openalex.org/W2757145975","https://openalex.org/W2802027610","https://openalex.org/W2809625860","https://openalex.org/W2884633276","https://openalex.org/W2914068101","https://openalex.org/W2915777777","https://openalex.org/W2921905705","https://openalex.org/W2980834455","https://openalex.org/W2996822796","https://openalex.org/W2999636554","https://openalex.org/W3034456914","https://openalex.org/W3041482332","https://openalex.org/W3088952887","https://openalex.org/W3113617298","https://openalex.org/W3116771206","https://openalex.org/W3165424796","https://openalex.org/W3171595030","https://openalex.org/W3209393188","https://openalex.org/W3209793576","https://openalex.org/W3212958986","https://openalex.org/W4285279948","https://openalex.org/W4389169604","https://openalex.org/W4389790205","https://openalex.org/W4389987972","https://openalex.org/W4391781205","https://openalex.org/W4391807011","https://openalex.org/W4399261687","https://openalex.org/W4400246254"],"related_works":[],"abstract_inverted_index":{"For":[0],"a":[1,13,31,40],"class":[2],"of":[3,39,76,84,108,172,180,195],"uncertain":[4],"nonlinear":[5,105],"systems":[6],"with":[7,63],"unknown":[8],"disturbances":[9],"and":[10,46,66,80,144,159,177,189],"input":[11,87],"constraints,":[12],"novel":[14],"event-triggered":[15,135],"adaptive":[16],"dynamic":[17],"programming":[18],"control":[19,86,106,115,198],"strategy":[20,120],"based":[21,166],"on":[22,167],"recursive":[23,32],"terminal":[24,33],"sliding":[25,34,43,49],"mode":[26,35,44,50],"(ET-ADP-RTSM)":[27],"is":[28,52,121,142,151],"proposed.":[29],"First,":[30],"(RTSM)":[36],"surface":[37,45,51],"composed":[38],"fast":[41],"non-singular":[42],"an":[47,97,112],"integral":[48],"constructed":[53],"to":[54,61,95,128,153],"ensure":[55],"that":[56],"the":[57,70,72,77,81,85,92,103,109,125,130,155,161,170,173,178,181,193,196],"tracking":[58,138,163],"error":[59],"converges":[60],"zero":[62],"faster":[64],"speed":[65],"higher":[67],"accuracy.":[68],"Second,":[69],"RTSM,":[71],"upper":[73],"bound":[74],"information":[75],"disturbance":[78],"function,":[79,101],"constraint":[82],"function":[83,94,158],"are":[88,185],"simultaneously":[89],"incorporated":[90],"into":[91,111],"utility":[93],"construct":[96],"improved":[98],"performance":[99],"value":[100,132,157],"transforming":[102],"robust":[104],"problem":[107],"system":[110,184],"approximate":[113,129],"optimal":[114,131,156,162],"problem.":[116],"A":[117],"nested":[118],"update":[119],"adopted":[122],"when":[123],"using":[124],"neural":[126,148],"networks":[127],"function.":[133],"An":[134],"(ET)":[136],"constrained":[137],"Hamilton-Jacobi-Bellman":[139],"(HJB)":[140],"equation":[141],"established,":[143],"only":[145],"one":[146],"critic":[147,174],"network":[149],"(NN)":[150],"used":[152],"learn":[154],"obtain":[160],"controller.":[164],"Finally,":[165],"Lyapunov":[168],"theory,":[169],"convergence":[171],"NN":[175],"weights":[176],"stability":[179],"entire":[182],"closed-loop":[183],"proved.":[186],"Simulation":[187],"results":[188],"comparative":[190],"analyses":[191],"verify":[192],"effectiveness":[194],"proposed":[197],"strategy.":[199]},"counts_by_year":[],"updated_date":"2026-01-10T23:39:48.068659","created_date":"2025-11-12T00:00:00"}
