{"id":"https://openalex.org/W1564319554","doi":"https://doi.org/10.1109/tie.2015.2414391","title":"Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes\u2014Part I: Mathematical Modeling","display_name":"Discrete-Time Modeling and Control of Induction Motors by Means of Variational Integrators and Sliding Modes\u2014Part I: Mathematical Modeling","publication_year":2015,"publication_date":"2015-03-18","ids":{"openalex":"https://openalex.org/W1564319554","doi":"https://doi.org/10.1109/tie.2015.2414391","mag":"1564319554"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2015.2414391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2015.2414391","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5026852819","display_name":"Jorge Rivera","orcid":"https://orcid.org/0000-0003-0978-2224"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jorge Rivera Dominguez","raw_affiliation_strings":["Advanced Studies and Research Center (CINVESTAV), National Polytechnic Institute (IPN), Zapopan, M\u00e9xico","Adv. Studies & Res. Center (CINVESTAV), Nat. Polytech. Inst. (IPN), Zapopan, Mexico"],"affiliations":[{"raw_affiliation_string":"Advanced Studies and Research Center (CINVESTAV), National Polytechnic Institute (IPN), Zapopan, M\u00e9xico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"raw_affiliation_string":"Adv. Studies & Res. Center (CINVESTAV), Nat. Polytech. Inst. (IPN), Zapopan, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026852819"],"corresponding_institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":5.4247,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.96026759,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"62","issue":"9","first_page":"5393","last_page":"5401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9923999905586243,"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/T10504","display_name":"Sensorless Control of Electric Motors","score":0.9886999726295471,"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/variational-integrator","display_name":"Variational integrator","score":0.850848913192749},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6341320872306824},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.6311519145965576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5667555928230286},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5290640592575073},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5285153388977051},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5153800845146179},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4968741238117218},{"id":"https://openalex.org/keywords/euler-method","display_name":"Euler method","score":0.4782094955444336},{"id":"https://openalex.org/keywords/semi-implicit-euler-method","display_name":"Semi-implicit Euler method","score":0.47350743412971497},{"id":"https://openalex.org/keywords/discrete-system","display_name":"Discrete system","score":0.4190184473991394},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3296637535095215},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.2605491280555725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2455516755580902},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.20338255167007446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12484568357467651},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07770594954490662}],"concepts":[{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.850848913192749},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6341320872306824},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.6311519145965576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5667555928230286},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5290640592575073},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5285153388977051},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5153800845146179},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4968741238117218},{"id":"https://openalex.org/C75380026","wikidata":"https://www.wikidata.org/wiki/Q868454","display_name":"Euler method","level":3,"score":0.4782094955444336},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.47350743412971497},{"id":"https://openalex.org/C96314035","wikidata":"https://www.wikidata.org/wiki/Q5282062","display_name":"Discrete system","level":2,"score":0.4190184473991394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3296637535095215},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.2605491280555725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2455516755580902},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.20338255167007446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12484568357467651},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07770594954490662},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2015.2414391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2015.2414391","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W194456869","https://openalex.org/W1502960172","https://openalex.org/W1522935148","https://openalex.org/W1555319078","https://openalex.org/W1979154279","https://openalex.org/W1984786788","https://openalex.org/W1985318753","https://openalex.org/W1992332357","https://openalex.org/W1993856702","https://openalex.org/W1995892300","https://openalex.org/W1998487444","https://openalex.org/W1998671349","https://openalex.org/W2003325638","https://openalex.org/W2010538052","https://openalex.org/W2027943326","https://openalex.org/W2028448628","https://openalex.org/W2037690913","https://openalex.org/W2049958142","https://openalex.org/W2058455619","https://openalex.org/W2079439005","https://openalex.org/W2093580138","https://openalex.org/W2100437533","https://openalex.org/W2132943141","https://openalex.org/W2135369899","https://openalex.org/W2140185920","https://openalex.org/W2141579943","https://openalex.org/W2141806052","https://openalex.org/W2146959253","https://openalex.org/W2154095835","https://openalex.org/W2170039048","https://openalex.org/W4242089704","https://openalex.org/W4307041976"],"related_works":["https://openalex.org/W2537694785","https://openalex.org/W2006096639","https://openalex.org/W2089955609","https://openalex.org/W2349121885","https://openalex.org/W2961659155","https://openalex.org/W2005694504","https://openalex.org/W4382053489","https://openalex.org/W3011672241","https://openalex.org/W1989699225","https://openalex.org/W2073460973"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,121,126,151],"the":[4,23,26,34,43,60,75,101,127,138,144,148,152],"discrete-time":[5,65,81,123],"modeling":[6],"of":[7,13],"induction":[8],"motors":[9],"(IMs)":[10],"by":[11,73],"means":[12],"a":[14,52,64,122],"variational":[15,44],"integrator.":[16],"A":[17],"Lagrangian":[18,29],"is":[19,30,46,56,133],"first":[20],"formulated":[21],"for":[22,86,100,113],"IM,":[24],"where":[25,117],"corresponding":[27],"discrete":[28,53,76],"derived":[31],"based":[32],"on":[33],"one-point":[35],"quadrature":[36],"rule":[37],"integration":[38],"method":[39],"(in":[40],"this":[41],"case,":[42],"integrator":[45],"known":[47],"as":[48,92],"symplectic":[49,103,139],"Euler).":[50],"Then,":[51,88],"action":[54],"principle":[55],"applied,":[57],"which":[58],"guarantees":[59],"optimum":[61],"path":[62],"in":[63,135],"setting.":[66],"The":[67],"forcing":[68],"and":[69,95,105],"dissipation":[70],"are":[71,84,98,110,119],"added":[72],"using":[74],"Lagrange":[77],"d'Alembert":[78],"principle.":[79],"Finally,":[80],"update":[82],"rules":[83],"obtained":[85,125,150],"IMs.":[87],"theoretic":[89],"properties":[90],"such":[91],"relative":[93],"degree":[94],"steady":[96],"state":[97],"studied":[99],"continuous-time":[102],"Euler":[104,107,130,140,154],"explicit":[106,129],"models.":[108],"Simulations":[109],"carried":[111],"out":[112],"different":[114],"sampling":[115],"periods,":[116],"results":[118],"compared":[120],"model":[124,141,149],"classical":[128,153],"method.":[131,155],"It":[132],"put":[134],"evidence":[136],"that":[137],"approximates":[142],"better":[143],"IM":[145],"dynamics":[146],"than":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
