{"id":"https://openalex.org/W1975197229","doi":"https://doi.org/10.1109/tac.2008.2009570","title":"Root Locus for Random Reference Tracking in Systems With Saturating Actuators","display_name":"Root Locus for Random Reference Tracking in Systems With Saturating Actuators","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1975197229","doi":"https://doi.org/10.1109/tac.2008.2009570","mag":"1975197229"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2008.2009570","doi":"https://doi.org/10.1109/tac.2008.2009570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2009570","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"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"},"volume":null,"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/A5057893339","display_name":"ShiNung Ching","orcid":"https://orcid.org/0000-0003-4063-7068","observed_orcids":["https://orcid.org/0000-0003-4063-7068"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ShiNung Ching","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040839189","display_name":"Pierre T. Kabamba","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pierre T. Kabamba","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111828998","display_name":"Semyon M. Meerkov","orcid":"https://orcid.org/0000-0002-1564-623X","observed_orcids":["https://orcid.org/0000-0002-1564-623X"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Semyon M. Meerkov","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"[Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI]","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":3.8983,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92414563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"54","issue":"1","first_page":"79","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.8862000107765198,"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/T11081","display_name":"Advanced Control Systems Design","score":0.8862000107765198,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.031099999323487282,"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/T11236","display_name":"Control Systems and Identification","score":0.03099999949336052,"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/root-locus","display_name":"root locus","score":0.8920000195503235},{"id":"https://openalex.org/keywords/actuator-saturation","display_name":"actuator saturation","score":0.9800000190734863},{"id":"https://openalex.org/keywords/equivalent-linearization","display_name":"equivalent linearization","score":0.8730000257492065},{"id":"https://openalex.org/keywords/quasilinear-systems","display_name":"quasilinear systems","score":0.9110000133514404},{"id":"https://openalex.org/keywords/controller-design","display_name":"controller design","score":0.49799999594688416}],"concepts":[{"id":"https://openalex.org/C27162326","wikidata":"https://www.wikidata.org/wiki/Q957693","display_name":"Root locus","level":3,"score":0.878606379032135},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.794671893119812},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7053410410881042},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6715090274810791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5709416270256042},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.47212156653404236},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.4641384482383728},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.4144747853279114},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.30657267570495605},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2542930245399475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24302351474761963},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22325962781906128},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21393746137619019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09229335188865662},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2008.2009570","doi":"https://doi.org/10.1109/tac.2008.2009570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2009570","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1542242601","https://openalex.org/W2009706849","https://openalex.org/W2014685809","https://openalex.org/W2053355532","https://openalex.org/W2066027438","https://openalex.org/W2098202600","https://openalex.org/W2099127171","https://openalex.org/W2103596163","https://openalex.org/W2106405525","https://openalex.org/W2121920584","https://openalex.org/W2126058503","https://openalex.org/W2136590082","https://openalex.org/W2154252350","https://openalex.org/W2160569306","https://openalex.org/W2921432803","https://openalex.org/W4205871929"],"related_works":["https://openalex.org/W1995261008","https://openalex.org/W2098202600","https://openalex.org/W2478016991","https://openalex.org/W2106405525","https://openalex.org/W2947607728","https://openalex.org/W1853681269","https://openalex.org/W2026828900","https://openalex.org/W2160843586","https://openalex.org/W2902027963","https://openalex.org/W7120356384"],"abstract_inverted_index":{"This":[0,16],"paper":[1],"develops":[2],"a":[3,79,104],"root":[4,84],"locus":[5,77,132,141],"technique":[6],"for":[7,97],"random":[8],"reference":[9],"tracking":[10],"in":[11,90,127],"systems":[12],"with":[13,45],"saturating":[14],"actuators.":[15],"is":[17,68,78,101,133,148],"accomplished":[18],"by":[19,34,50],"introducing":[20],"the":[21,27,30,36,42,51,54,58,61,69,75,82,91,112,115,122,130,139],"notion":[22],"of":[23,29,38,60,81,106,124,129,138],"S-poles,":[24],"which":[25,86],"are":[26,118],"poles":[28],"quasilinear":[31],"system":[32,44],"obtained":[33],"applying":[35],"method":[37,96],"stochastic":[39],"linearization":[40],"to":[41,66,142],"original":[43],"saturation.":[46],"The":[47],"path":[48],"traced":[49],"S-poles":[52],"on":[53],"complex":[55],"plane":[56],"when":[57],"gain":[59],"controller":[62,146],"changes":[63],"from":[64],"0":[65],"infin":[67],"S-root":[70,76,116,131,140],"locus.":[71],"We":[72],"show":[73],"that":[74],"subset":[80],"standard":[83],"locus,":[85],"may":[87],"terminate":[88],"prematurely":[89],"so-called":[92],"termination":[93],"points.":[94],"A":[95],"calculating":[98],"these":[99],"points":[100],"presented":[102],"and":[103,114],"number":[105],"other,":[107],"more":[108],"subtle,":[109],"differences":[110],"between":[111],"usual":[113],"loci":[117],"described.":[119],"In":[120],"addition,":[121],"issue":[123],"amplitude":[125],"truncation":[126],"terms":[128],"investigated.":[134],"Finally,":[135],"an":[136],"application":[137],"hard":[143],"disk":[144],"drive":[145],"design":[147],"presented.":[149]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2016-06-24T00:00:00"}