{"id":"https://openalex.org/W2112538195","doi":"https://doi.org/10.1109/acc.2002.1025459","title":"PID controller design using Bode's integrals","display_name":"PID controller design using Bode's integrals","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2112538195","doi":"https://doi.org/10.1109/acc.2002.1025459","mag":"2112538195"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2002.1025459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1025459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/28382","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003734377","display_name":"Alireza Karimi","orcid":"https://orcid.org/0000-0003-4232-3695"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":true,"raw_author_name":"A. Karimi","raw_affiliation_strings":["Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103177692","display_name":"Damien Garcia","orcid":"https://orcid.org/0000-0001-6142-1974"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"D. Garcia","raw_affiliation_strings":["Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031046176","display_name":"R. Longchamp","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"R. Longchamp","raw_affiliation_strings":["Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Laboratoire dE28099automatique, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Lab. d''Automatique, Ecole Polytech. Fed. de Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003734377"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":3.1911,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91222755,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5007","last_page":"5012 vol.6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998999834060669,"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":0.9998999834060669,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987999796867371,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9987999796867371,"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/bode-plot","display_name":"Bode plot","score":0.9308184385299683},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.8802989721298218},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7815127372741699},{"id":"https://openalex.org/keywords/nyquist-plot","display_name":"Nyquist plot","score":0.7156458497047424},{"id":"https://openalex.org/keywords/nyquist-stability-criterion","display_name":"Nyquist stability criterion","score":0.5399063229560852},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.5276828408241272},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4665954113006592},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.44832247495651245},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.43913328647613525},{"id":"https://openalex.org/keywords/step-response","display_name":"Step response","score":0.43716520071029663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.410068154335022},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4018462002277374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36974036693573},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3489052653312683},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2645123600959778},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16553223133087158},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14859870076179504},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.11315816640853882},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11103159189224243}],"concepts":[{"id":"https://openalex.org/C92487091","wikidata":"https://www.wikidata.org/wiki/Q245627","display_name":"Bode plot","level":3,"score":0.9308184385299683},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.8802989721298218},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7815127372741699},{"id":"https://openalex.org/C195762429","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist plot","level":5,"score":0.7156458497047424},{"id":"https://openalex.org/C7630364","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist stability criterion","level":3,"score":0.5399063229560852},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.5276828408241272},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4665954113006592},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.44832247495651245},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.43913328647613525},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.43716520071029663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.410068154335022},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4018462002277374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36974036693573},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3489052653312683},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2645123600959778},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16553223133087158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14859870076179504},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.11315816640853882},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11103159189224243},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.0},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","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/C52859227","wikidata":"https://www.wikidata.org/wiki/Q7877","display_name":"Electrochemistry","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C7040849","wikidata":"https://www.wikidata.org/wiki/Q899580","display_name":"Dielectric spectroscopy","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2002.1025459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1025459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.905.9620","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.905.9620","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://infoscience.epfl.ch/record/28382/files/fulltext.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:28382","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/28382","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:28382","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/28382","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1600066860","https://openalex.org/W1792744802","https://openalex.org/W2014241737","https://openalex.org/W2037013225","https://openalex.org/W2066260126","https://openalex.org/W2142402591","https://openalex.org/W2165245058","https://openalex.org/W2283952362","https://openalex.org/W2980070341","https://openalex.org/W6653985006","https://openalex.org/W6666877243"],"related_works":["https://openalex.org/W2100446824","https://openalex.org/W2028352647","https://openalex.org/W1580703813","https://openalex.org/W2724644657","https://openalex.org/W2790618614","https://openalex.org/W4249693710","https://openalex.org/W2387925538","https://openalex.org/W3027734312","https://openalex.org/W2364721613","https://openalex.org/W1946827748"],"abstract_inverted_index":{"The":[0,53,65],"feedback":[1],"relay":[2],"test":[3],"is":[4,20,63],"usually":[5],"used":[6,68],"to":[7,35,69,99],"identify":[8],"one":[9],"point":[10,39],"on":[11],"the":[12,16,23,30,44,51,56,78,84,90,93,96,101],"Nyquist":[13,80],"diagram":[14,81],"of":[15,25,29,50,55,77,95],"plant":[17,31,61],"model.":[18],"It":[19],"shown":[21],"that":[22,38],"derivatives":[24,66],"amplitude":[26],"and":[27,82,92],"phase":[28],"model":[32,49],"with":[33],"respect":[34],"frequency":[36],"at":[37],"can":[40],"be":[41],"approximated":[42],"by":[43],"Bode's":[45],"integrals":[46],"without":[47],"any":[48],"plant.":[52],"precision":[54],"approximation":[57],"for":[58,74],"typical":[59],"industrial":[60],"models":[62],"studied.":[64],"are":[67],"design":[70,100],"a":[71],"PID":[72,102],"controller":[73],"slope":[75],"adjustment":[76],"loop":[79],"improve":[83],"closed-loop":[85],"performance.":[86],"Simulation":[87],"examples":[88],"illustrate":[89],"effectiveness":[91],"simplicity":[94],"proposed":[97],"method":[98],"controllers.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}