{"id":"https://openalex.org/W4385452024","doi":"https://doi.org/10.23919/ecc57647.2023.10178160","title":"Stability and Robustness of a Hybrid Control Law for the Half-bridge Inverter","display_name":"Stability and Robustness of a Hybrid Control Law for the Half-bridge Inverter","publication_year":2023,"publication_date":"2023-06-13","ids":{"openalex":"https://openalex.org/W4385452024","doi":"https://doi.org/10.23919/ecc57647.2023.10178160"},"language":"en","primary_location":{"id":"doi:10.23919/ecc57647.2023.10178160","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5000776449","display_name":"Gabriel E. Col\u00f3n-Reyes","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gabriel E. Col\u00f3n-Reyes","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005014330","display_name":"Kaylene C. Stocking","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kaylene C. Stocking","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066926540","display_name":"Duncan S. Callaway","orcid":"https://orcid.org/0000-0003-3316-9008"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Duncan S. Callaway","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States","Energy and Resources Group, University of California, Berkeley, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Energy and Resources Group, University of California, Berkeley, United States","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Department of Electrical Engineering and Computer Sciences,Berkeley,United States","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, United States","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12359867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","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/T10223","display_name":"Microgrid Control and Optimization","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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12277","display_name":"Frequency Control in Power Systems","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.7913471460342407},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.7339974045753479},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.6602667570114136},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5818426609039307},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5710121989250183},{"id":"https://openalex.org/keywords/hybrid-power","display_name":"Hybrid power","score":0.5200583338737488},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5006709098815918},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.49470874667167664},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.3058127164840698},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.30560749769210815},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24234554171562195},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.22611775994300842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08062541484832764},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07172548770904541}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7913471460342407},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.7339974045753479},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.6602667570114136},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5818426609039307},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5710121989250183},{"id":"https://openalex.org/C86155754","wikidata":"https://www.wikidata.org/wiki/Q13636979","display_name":"Hybrid power","level":3,"score":0.5200583338737488},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5006709098815918},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.49470874667167664},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3058127164840698},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.30560749769210815},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24234554171562195},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.22611775994300842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08062541484832764},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07172548770904541},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc57647.2023.10178160","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1481666617","https://openalex.org/W1552094772","https://openalex.org/W1561445488","https://openalex.org/W1597768990","https://openalex.org/W2018777089","https://openalex.org/W2040846055","https://openalex.org/W2132934951","https://openalex.org/W2246496046","https://openalex.org/W2265248459","https://openalex.org/W2313702332","https://openalex.org/W2749680651","https://openalex.org/W2895799795","https://openalex.org/W2912420062","https://openalex.org/W2963319733","https://openalex.org/W3028811630","https://openalex.org/W3091690116","https://openalex.org/W3108610636","https://openalex.org/W3118195878","https://openalex.org/W3129624334"],"related_works":["https://openalex.org/W2077073890","https://openalex.org/W2269166041","https://openalex.org/W2977399316","https://openalex.org/W2409882009","https://openalex.org/W2980232854","https://openalex.org/W3024702869","https://openalex.org/W4386072451","https://openalex.org/W2805471441","https://openalex.org/W2802590190","https://openalex.org/W2028818176"],"abstract_inverted_index":{"Hybrid":[0],"systems":[1,35,65,175],"combine":[2,168],"both":[3],"discrete":[4],"and":[5,31,73,110,137,177,184,187],"continuous":[6],"state":[7,33],"dynamics.":[8],"Power":[9],"electronic":[10,75],"inverters":[11,54],"are":[12,17,48],"inherently":[13],"hybrid":[14,64,88,174,203],"systems:":[15],"they":[16],"controlled":[18],"via":[19,161],"discrete-valued":[20],"switching":[21,204],"inputs":[22],"which":[23,133],"determine":[24],"the":[25,28,51,68,84,91,95,103,124,130,141,180,192,196,202],"evolution":[26],"of":[27,44,71,86,97,129,140,198],"continuous-valued":[29],"current":[30,111,186],"voltage":[32,109,188],"dynamics.Hybrid":[34],"analysis":[36,70],"could":[37],"prove":[38],"increasingly":[39],"useful":[40],"as":[41,55],"large":[42],"numbers":[43],"renewable":[45],"energy":[46],"sources":[47],"incorporated":[49],"to":[50,106,150],"grid":[52,194],"with":[53,172,201],"their":[56],"interface.":[57],"In":[58,191],"this":[59,154,173],"work,":[60],"we":[61,147,163],"explore":[62],"a":[63,87,98,119,169,209,214],"approach":[66],"for":[67,90,118,123],"stability":[69,139],"power":[72,74],"systems.":[76],"We":[77,113,157],"provide":[78],"an":[79,115],"analytical":[80,116],"proof":[81],"showing":[82],"that":[83,101,167],"use":[85],"model":[89,183],"half-bridge":[92],"inverter":[93,216],"allows":[94],"derivation":[96],"control":[99,189,200,205,211],"law":[100],"drives":[102],"system":[104,126,131],"states":[105],"desired":[107],"sinusoidal":[108],"references.":[112],"derive":[114],"expression":[117],"global":[120],"Lyapunov":[121,155],"function":[122],"dynamical":[125],"in":[127,143],"terms":[128],"parameters,":[132],"proves":[134],"uniform,":[135],"global,":[136],"asymptotic":[138],"origin":[142],"error":[144],"coordinates.":[145],"Moreover,":[146],"demonstrate":[148],"robustness":[149],"parameter":[151],"changes":[152],"through":[153],"function.":[156],"validate":[158],"these":[159],"results":[160,166],"simulation.Finally,":[162],"present":[164],"simulation":[165],"droop":[170,199],"controller":[171],"approach,":[176],"benchmark":[178],"against":[179],"well-studied":[181],"averaged":[182],"inner":[185],"loops.":[190],"low-inertia":[193],"community,":[195],"juxtaposition":[197],"can":[206],"be":[207],"considered":[208],"grid-forming":[210],"strategy":[212],"using":[213],"switched":[215],"model.":[217]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}