{"id":"https://openalex.org/W3021805202","doi":"https://doi.org/10.1109/tsg.2020.2992118","title":"Distributed Resilient Secondary Control of DC Microgrids Against Unbounded Attacks","display_name":"Distributed Resilient Secondary Control of DC Microgrids Against Unbounded Attacks","publication_year":2020,"publication_date":"2020-05-05","ids":{"openalex":"https://openalex.org/W3021805202","doi":"https://doi.org/10.1109/tsg.2020.2992118","mag":"3021805202"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2020.2992118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.2992118","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","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/A5076377822","display_name":"Shan Zuo","orcid":"https://orcid.org/0000-0001-9830-9310"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shan Zuo","raw_affiliation_strings":["Electrical Engineering Department, University of Texas at Arlington, Arlington, USA"],"raw_orcid":"https://orcid.org/0000-0001-9830-9310","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas at Arlington, Arlington, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045471783","display_name":"Tuncay Altun","orcid":"https://orcid.org/0000-0003-1499-3384"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tuncay Altun","raw_affiliation_strings":["Electrical Engineering Department, University of Texas at Arlington, Arlington, USA"],"raw_orcid":"https://orcid.org/0000-0003-1499-3384","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas at Arlington, Arlington, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016137188","display_name":"Frank L. Lewis","orcid":"https://orcid.org/0000-0003-4074-1615"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank L. Lewis","raw_affiliation_strings":["Electrical Engineering Department, University of Texas at Arlington, Arlington, USA"],"raw_orcid":"https://orcid.org/0000-0003-4074-1615","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas at Arlington, Arlington, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053089078","display_name":"Ali Davoudi","orcid":"https://orcid.org/0000-0003-2951-442X"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ali Davoudi","raw_affiliation_strings":["Electrical Engineering Department, University of Texas at Arlington, Arlington, USA"],"raw_orcid":"https://orcid.org/0000-0003-2951-442X","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Texas at Arlington, Arlington, USA","institution_ids":["https://openalex.org/I189196454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189196454"],"apc_list":null,"apc_paid":null,"fwci":9.0377,"has_fulltext":false,"cited_by_count":119,"citation_normalized_percentile":{"value":0.9842497,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"11","issue":"5","first_page":"3850","last_page":"3859"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9998000264167786,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9998000264167786,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9937000274658203,"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/T10714","display_name":"Software-Defined Networks and 5G","score":0.9824000000953674,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.8639260530471802},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6914450526237488},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6524226665496826},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5489981770515442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5077829957008362},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4945354163646698},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.45010751485824585},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.42494744062423706},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4195908308029175},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.4111974835395813},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30959010124206543},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.28242167830467224},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2618515193462372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17365562915802002}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.8639260530471802},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6914450526237488},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6524226665496826},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5489981770515442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5077829957008362},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4945354163646698},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.45010751485824585},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.42494744062423706},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4195908308029175},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.4111974835395813},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30959010124206543},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.28242167830467224},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2618515193462372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17365562915802002},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2020.2992118","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.2992118","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2698775474","display_name":null,"funder_award_id":"TSG-01277-2019","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5543081948","display_name":null,"funder_award_id":"DCN#43-6459-20","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7604827104","display_name":null,"funder_award_id":"N00014-17-1-2239","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1504052325","https://openalex.org/W1974729410","https://openalex.org/W1987992749","https://openalex.org/W2003530067","https://openalex.org/W2005157396","https://openalex.org/W2022272187","https://openalex.org/W2022810949","https://openalex.org/W2032098152","https://openalex.org/W2038651258","https://openalex.org/W2039984414","https://openalex.org/W2050588495","https://openalex.org/W2054684126","https://openalex.org/W2062132646","https://openalex.org/W2066822226","https://openalex.org/W2084943452","https://openalex.org/W2100445566","https://openalex.org/W2105499934","https://openalex.org/W2119405005","https://openalex.org/W2146890818","https://openalex.org/W2152728520","https://openalex.org/W2230317998","https://openalex.org/W2232335510","https://openalex.org/W2308438456","https://openalex.org/W2311260476","https://openalex.org/W2319367234","https://openalex.org/W2337446187","https://openalex.org/W2415645061","https://openalex.org/W2477566801","https://openalex.org/W2494175136","https://openalex.org/W2572224102","https://openalex.org/W2580715962","https://openalex.org/W2615509641","https://openalex.org/W2742921434","https://openalex.org/W2747369897","https://openalex.org/W2750894191","https://openalex.org/W2794132607","https://openalex.org/W2802329608","https://openalex.org/W2895397679","https://openalex.org/W2900117237","https://openalex.org/W2963774659"],"related_works":["https://openalex.org/W1574359403","https://openalex.org/W2057975886","https://openalex.org/W4308700935","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"This":[0,49],"paper":[1,91],"develops":[2],"a":[3,38,58,180],"fully":[4,107],"distributed":[5,50,108],"attack-resilient":[6,110],"secondary":[7,25,111],"control":[8,21,26,51,56,112],"framework":[9,113],"for":[10,87,116,144],"DC":[11,117],"microgrids,":[12],"in":[13,169,179],"the":[14,72,78,84,104,121,135,139,158,162,170,185,188],"presence":[15,171],"of":[16,27,31,124,161,172,187],"unknown":[17,93],"unbounded":[18,98,125,155],"attacks":[19,69,94],"on":[20,54,103,130],"input":[22],"channels.":[23],"The":[24],"each":[28],"converter":[29],"consists":[30],"an":[32],"average":[33],"consensus-based":[34,39],"voltage":[35,147],"regulator":[36,41],"and":[37,57,75,149],"current":[40],"that":[42,70,95,134],"use":[43],"relative":[44],"information":[45],"from":[46],"neighboring":[47],"converters.":[48],"manner":[52],"relies":[53],"localized":[55],"sparse":[59],"communication":[60],"network":[61],"and,":[62],"therefore,":[63],"could":[64],"be":[65],"prone":[66],"to":[67,83,99,119,183],"malicious":[68],"deteriorate":[71],"consensus":[73],"performance":[74],"even":[76],"destabilize":[77],"overall":[79,163],"microgrids.":[80],"In":[81],"contrast":[82],"existing":[85],"remedies":[86],"bounded":[88,142,173],"disturbances/noises,":[89],"this":[90],"considers":[92],"are":[96,177],"intentionally":[97],"maximize":[100],"their":[101],"damage":[102],"microgrid.":[105],"A":[106],"adaptive":[109],"is":[114,167],"established":[115],"microgrids":[118],"mitigate":[120],"adverse":[122],"effect":[123],"attacks.":[126,156,174],"Rigorous":[127],"proofs,":[128],"based":[129],"Lyapunov":[131],"techniques,":[132],"show":[133],"proposed":[136,189],"method":[137],"guarantees":[138],"uniformly":[140],"ultimately":[141],"convergence":[143],"both":[145],"global":[146],"regulation":[148],"proportional":[150],"load":[151],"sharing":[152],"objectives":[153],"under":[154],"Moreover,":[157],"asymptotic":[159],"stability":[160],"closed-loop":[164],"microgrid":[165],"system":[166],"achieved":[168],"Experimental":[175],"results":[176],"illustrated":[178],"hardware-in-the-loop":[181],"environment":[182],"validate":[184],"effectiveness":[186],"approach.":[190]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":32},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":23},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}