{"id":"https://openalex.org/W3119795430","doi":"https://doi.org/10.1109/tac.2022.3147167","title":"Saturating PI Control of Stable Nonlinear Systems Using Singular Perturbations","display_name":"Saturating PI Control of Stable Nonlinear Systems Using Singular Perturbations","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W3119795430","doi":"https://doi.org/10.1109/tac.2022.3147167","mag":"3119795430"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3147167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3147167","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5084606078","display_name":"Pietro Lorenzetti","orcid":"https://orcid.org/0000-0001-5789-8219"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Pietro Lorenzetti","raw_affiliation_strings":["Department of Electrical Engineering Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0001-5789-8219","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003773351","display_name":"George H. Weiss","orcid":"https://orcid.org/0000-0002-9524-2795"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"George Weiss","raw_affiliation_strings":["Department of Electrical Engineering Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel"],"raw_orcid":"https://orcid.org/0000-0002-9524-2795","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4612,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.96383211,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"68","issue":"2","first_page":"867","last_page":"882"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9984999895095825,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9984999895095825,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983999729156494,"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":0.996999979019165,"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":0.8729276657104492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6892304420471191},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6179887056350708},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6162412166595459},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6161484718322754},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5728765726089478},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5505646467208862},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5241080522537231},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4949893355369568},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4246177077293396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21607014536857605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18389540910720825},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15287211537361145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0911540687084198},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.07827040553092957}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8729276657104492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6892304420471191},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6179887056350708},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6162412166595459},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6161484718322754},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5728765726089478},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5505646467208862},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5241080522537231},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4949893355369568},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4246177077293396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21607014536857605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18389540910720825},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15287211537361145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0911540687084198},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.07827040553092957},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3147167","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3147167","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W407896542","https://openalex.org/W618928362","https://openalex.org/W1496192324","https://openalex.org/W1515224583","https://openalex.org/W1950447600","https://openalex.org/W1964684214","https://openalex.org/W1967585891","https://openalex.org/W1980003026","https://openalex.org/W1982195659","https://openalex.org/W1982756269","https://openalex.org/W1983664099","https://openalex.org/W1987994116","https://openalex.org/W1990378975","https://openalex.org/W1998282447","https://openalex.org/W2024573378","https://openalex.org/W2030134241","https://openalex.org/W2030691645","https://openalex.org/W2049959940","https://openalex.org/W2054761727","https://openalex.org/W2061653258","https://openalex.org/W2062645572","https://openalex.org/W2081785091","https://openalex.org/W2085723799","https://openalex.org/W2085757408","https://openalex.org/W2099001084","https://openalex.org/W2103316572","https://openalex.org/W2104195154","https://openalex.org/W2110937196","https://openalex.org/W2119925384","https://openalex.org/W2121096159","https://openalex.org/W2121342825","https://openalex.org/W2129175987","https://openalex.org/W2134078068","https://openalex.org/W2136541325","https://openalex.org/W2138876052","https://openalex.org/W2140780505","https://openalex.org/W2156042520","https://openalex.org/W2160882803","https://openalex.org/W2322858167","https://openalex.org/W2333664985","https://openalex.org/W2571925920","https://openalex.org/W2588871651","https://openalex.org/W2590702350","https://openalex.org/W2663031135","https://openalex.org/W2963203935","https://openalex.org/W3097486956","https://openalex.org/W3119919749","https://openalex.org/W3156081807","https://openalex.org/W3185704272","https://openalex.org/W3210686325","https://openalex.org/W4249919931","https://openalex.org/W4255043376","https://openalex.org/W4312272768"],"related_works":["https://openalex.org/W1978738522","https://openalex.org/W2095028518","https://openalex.org/W2377228964","https://openalex.org/W2074717584","https://openalex.org/W2059311322","https://openalex.org/W2536963663","https://openalex.org/W2057482994","https://openalex.org/W1988317900","https://openalex.org/W1989732506","https://openalex.org/W2115648193"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"an":[3,36],"antiwindup":[4],"propor-":[5],"tional-integral":[6],"(PI)":[7],"controller,":[8],"using":[9],"a":[10,14,62,148],"saturating":[11],"integrator,":[12],"for":[13,45,121],"single-input":[15],"and":[16],"single-output":[17],"(SISO)":[18],"stable":[19,120],"nonlinear":[20],"plant,":[21],"whose":[22],"steady-state":[23],"input\u2013output":[24],"map":[25],"is":[26,58,117,134],"increasing.":[27],"We":[28],"prove":[29],"that,":[30],"under":[31],"reasonable":[32],"assumptions,":[33],"there":[34],"exists":[35],"upper":[37],"bound":[38],"on":[39],"the":[40,50,55,68,71,80,94,97,106,109,114,130,144],"controller":[41,125,133],"gain":[42,111],"such":[43],"that":[44,104],"any":[46,122],"constant":[47],"reference":[48],"input,":[49],"corresponding":[51],"equilibrium":[52,77],"point":[53],"of":[54,65,70,96,129,143,147,153],"closed-loop":[56,72,87,115],"system":[57,73,116],"exponentially":[59],"stable,":[60],"with":[61],"\u201clarge\u201d":[63],"region":[64],"attraction.":[66],"When":[67],"state":[69],"converges":[74],"to":[75,84,155],"this":[76],"point,":[78],"then":[79,113],"tracking":[81],"error":[82],"tends":[83],"zero.":[85],"The":[86,127],"stability":[88],"analysis":[89],"employs":[90],"Lyapunov":[91],"methods":[92],"in":[93],"framework":[95],"singular":[98],"perturbations":[99],"theory.":[100],"Finally,":[101],"we":[102],"show":[103],"if":[105],"plant":[107],"satisfies":[108],"asymptotic":[110],"property,":[112],"globally":[118],"asymptotically":[119],"sufficiently":[123],"small":[124],"gain.":[126],"effectiveness":[128],"proposed":[131],"PI":[132],"proved":[135],"by":[136],"showing":[137],"how":[138],"it":[139],"performs":[140],"as":[141],"part":[142],"control":[145],"algorithm":[146],"synchronverter":[149],"(a":[150],"special":[151],"type":[152],"dc":[154],"ac":[156],"power":[157],"converter).":[158]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}