{"id":"https://openalex.org/W3110191231","doi":"https://doi.org/10.1109/tcyb.2020.3035895","title":"Robust Cooperative Optimal Sliding-Mode Control for High-Order Nonlinear Systems: Directed Topologies","display_name":"Robust Cooperative Optimal Sliding-Mode Control for High-Order Nonlinear Systems: Directed Topologies","publication_year":2020,"publication_date":"2020-12-01","ids":{"openalex":"https://openalex.org/W3110191231","doi":"https://doi.org/10.1109/tcyb.2020.3035895","mag":"3110191231","pmid":"https://pubmed.ncbi.nlm.nih.gov/33259323"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.3035895","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3035895","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100429715","display_name":"Zhuo Zhang","orcid":"https://orcid.org/0000-0003-3634-2494"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuo Zhang","raw_affiliation_strings":["School of Astronautics, Harbin Institute of Technology, Harbin, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0003-3634-2494","affiliations":[{"raw_affiliation_string":"School of Astronautics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028730873","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-1337-5322"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada"],"raw_orcid":"https://orcid.org/0000-0003-1337-5322","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010929723","display_name":"Shouxu Zhang","orcid":"https://orcid.org/0000-0002-1765-7979"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouxu Zhang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029286316","display_name":"Zexu Zhang","orcid":"https://orcid.org/0000-0003-1702-0385"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zexu Zhang","raw_affiliation_strings":["School of Astronautics, Harbin Institute of Technology, Harbin, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0003-1702-0385","affiliations":[{"raw_affiliation_string":"School of Astronautics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055684040","display_name":"Weisheng Yan","orcid":"https://orcid.org/0000-0002-6789-4411"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weisheng Yan","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-6789-4411","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0092,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.87807458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"6","first_page":"5535","last_page":"5547"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.7549126744270325},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7450882196426392},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6980217695236206},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.6939189434051514},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5783733129501343},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5433938503265381},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.44101017713546753},{"id":"https://openalex.org/keywords/variable-structure-control","display_name":"Variable structure control","score":0.43475210666656494},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42104262113571167},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.419542521238327},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33957305550575256},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30036425590515137},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.252258837223053},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06880417466163635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05585587024688721}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.7549126744270325},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7450882196426392},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6980217695236206},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.6939189434051514},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5783733129501343},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5433938503265381},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.44101017713546753},{"id":"https://openalex.org/C185109637","wikidata":"https://www.wikidata.org/wiki/Q7915740","display_name":"Variable structure control","level":4,"score":0.43475210666656494},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42104262113571167},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.419542521238327},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33957305550575256},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30036425590515137},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.252258837223053},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06880417466163635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05585587024688721},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.3035895","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3035895","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:33259323","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33259323","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2807264073","display_name":null,"funder_award_id":"3102019HHZY030026","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5024284229","display_name":null,"funder_award_id":"61973252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5176758019","display_name":null,"funder_award_id":"61803304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5192382428","display_name":null,"funder_award_id":"61733014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5433374900","display_name":null,"funder_award_id":"51909217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6812378864","display_name":null,"funder_award_id":"51979228","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W177930832","https://openalex.org/W391578156","https://openalex.org/W1879057180","https://openalex.org/W1965770068","https://openalex.org/W1973578767","https://openalex.org/W1975150226","https://openalex.org/W1990490821","https://openalex.org/W1999218096","https://openalex.org/W2007779197","https://openalex.org/W2010061639","https://openalex.org/W2018851823","https://openalex.org/W2031945217","https://openalex.org/W2032198200","https://openalex.org/W2035608030","https://openalex.org/W2052145707","https://openalex.org/W2083335882","https://openalex.org/W2092215165","https://openalex.org/W2099175737","https://openalex.org/W2136605942","https://openalex.org/W2223402112","https://openalex.org/W2293710996","https://openalex.org/W2340527100","https://openalex.org/W2462438590","https://openalex.org/W2484646121","https://openalex.org/W2498677259","https://openalex.org/W2517050798","https://openalex.org/W2599235009","https://openalex.org/W2676821827","https://openalex.org/W2720812389","https://openalex.org/W2729722365","https://openalex.org/W2762464728","https://openalex.org/W2773919066","https://openalex.org/W2789411207","https://openalex.org/W2801899875","https://openalex.org/W2802690764","https://openalex.org/W2803623613","https://openalex.org/W2888258418","https://openalex.org/W2894634526","https://openalex.org/W2921881515","https://openalex.org/W2947048520","https://openalex.org/W2963127789","https://openalex.org/W2963252619","https://openalex.org/W2963923997","https://openalex.org/W2974039923","https://openalex.org/W2979865550","https://openalex.org/W2989043911","https://openalex.org/W3022912303","https://openalex.org/W3109737236"],"related_works":["https://openalex.org/W2352173564","https://openalex.org/W1845306153","https://openalex.org/W2166459078","https://openalex.org/W3008046258","https://openalex.org/W2391441277","https://openalex.org/W2306349892","https://openalex.org/W2274682661","https://openalex.org/W2786766270","https://openalex.org/W897560829","https://openalex.org/W2375807149"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,30,42,63],"concerned":[3],"with":[4,15,36],"the":[5,22,45,50,56,60,70,88,94],"robust":[6,57],"cooperative":[7],"optimal":[8],"control":[9,28,52],"of":[10,59,93],"nonlinear":[11,34],"multiagent":[12],"systems":[13],"(MASs)":[14],"external":[16],"disturbances":[17],"and":[18,49,73,90],"modeling":[19],"uncertainties.":[20],"Using":[21],"super-twisting":[23],"algorithm,":[24],"a":[25],"continuous":[26],"sliding-mode":[27,40],"protocol":[29,53],"presented":[31,71,95],"for":[32],"high-order":[33],"MASs":[35],"multiple":[37],"inputs.":[38],"The":[39],"dynamics":[41],"modeled":[43],"by":[44],"Takagi-Sugeno":[46],"fuzzy":[47],"approach,":[48],"nominal":[51],"that":[54],"guarantees":[55],"optimization":[58],"cost":[61],"function":[62],"designed.":[64],"Directed":[65],"topologies":[66,77],"are":[67,78,84],"allowed":[68],"using":[69],"protocol,":[72],"many":[74],"assumptions":[75],"about":[76],"removed.":[79],"Finally,":[80],"three":[81],"numerical":[82],"examples":[83],"reported":[85],"to":[86],"demonstrate":[87],"effectiveness":[89],"improved":[91],"performance":[92],"protocol.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
