{"id":"https://openalex.org/W2146989518","doi":"https://doi.org/10.1109/acc.2005.1470405","title":"Loop shaping for robust performance using rbode plot","display_name":"Loop shaping for robust performance using rbode plot","publication_year":2005,"publication_date":"2005-08-10","ids":{"openalex":"https://openalex.org/W2146989518","doi":"https://doi.org/10.1109/acc.2005.1470405","mag":"2146989518"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2005.1470405","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","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":null,"display_name":"Lu Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lu Xia","raw_affiliation_strings":["Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA","[Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108521529","display_name":"W. Messner","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Messner","raw_affiliation_strings":["Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA","[Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"[Data Storage Systems Center, Carnegie Mellon University, Pittsburgh, PA, USA]","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2869","last_page":"2874"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":0.9993000030517578,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9993000030517578,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.7952591776847839},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.6085036396980286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5859076976776123},{"id":"https://openalex.org/keywords/loop","display_name":"Loop (graph theory)","score":0.5750616192817688},{"id":"https://openalex.org/keywords/compensation","display_name":"Compensation (psychology)","score":0.5377253890037537},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.5274472832679749},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5189530849456787},{"id":"https://openalex.org/keywords/open-loop-controller","display_name":"Open-loop controller","score":0.5101092457771301},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.5048149228096008},{"id":"https://openalex.org/keywords/feedback-loop","display_name":"Feedback loop","score":0.4530758559703827},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4487076997756958},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.39278167486190796},{"id":"https://openalex.org/keywords/closed-loop","display_name":"Closed loop","score":0.3206307888031006},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3095136880874634},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.2764934301376343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25546154379844666},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17520266771316528},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16632705926895142},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14640244841575623}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7952591776847839},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.6085036396980286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5859076976776123},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.5750616192817688},{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.5377253890037537},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.5274472832679749},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5189530849456787},{"id":"https://openalex.org/C161362739","wikidata":"https://www.wikidata.org/wiki/Q2301555","display_name":"Open-loop controller","level":3,"score":0.5101092457771301},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.5048149228096008},{"id":"https://openalex.org/C186886427","wikidata":"https://www.wikidata.org/wiki/Q5441213","display_name":"Feedback loop","level":2,"score":0.4530758559703827},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4487076997756958},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.39278167486190796},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.3206307888031006},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3095136880874634},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2764934301376343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25546154379844666},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17520266771316528},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16632705926895142},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14640244841575623},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2005.1470405","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2081760916","https://openalex.org/W2121117794","https://openalex.org/W2121745457","https://openalex.org/W2125893426"],"related_works":["https://openalex.org/W2103982267","https://openalex.org/W2065196227","https://openalex.org/W2319944002","https://openalex.org/W3039582398","https://openalex.org/W2558015143","https://openalex.org/W2724432464","https://openalex.org/W2357305699","https://openalex.org/W2126107835","https://openalex.org/W1484482787","https://openalex.org/W4402751964"],"abstract_inverted_index":{"H/sub":[0],"/spl":[1,4],"infin//":[2],"and":[3,36,97,99,116,119],"mu/-synthesis":[5],"have":[6],"been":[7],"widely":[8],"used":[9],"to":[10,13,85,91,104,137],"design":[11,82,139],"controllers":[12,72],"achieve":[14],"robust":[15,53,71],"performance.":[16],"However,":[17],"these":[18,111],"automated":[19],"tools":[20],"often":[21],"do":[22],"not":[23],"provide":[24,120],"much":[25],"insight":[26],"into":[27,56],"the":[28,31,37,40,52,59,87,95,105,109,124,127,138,141],"relationship":[29],"between":[30,94],"open":[32,60,88],"loop":[33,61,79,89],"frequency":[34],"response":[35,90],"performance":[38,54],"in":[39,108,123],"presence":[41],"of":[42,64,126,134,140],"model":[43],"uncertainties.":[44],"This":[45],"paper":[46],"presents":[47],"a":[48,65],"method":[49],"for":[50,143],"translating":[51],"criterion":[55],"contours":[57,96,112],"on":[58],"Rbode":[62],"plot":[63],"compensated":[66],"SISO":[67],"system":[68,149],"so":[69],"that":[70],"can":[73],"be":[74],"directly":[75],"synthesized":[76],"with":[77],"classical":[78],"shaping.":[80],"The":[81],"concept":[83,136],"is":[84],"shape":[86],"avoid":[92],"intersections":[93],"magnitude":[98,117],"phase":[100,115],"graphs.":[101],"In":[102],"contrast":[103],"asymptotic":[106],"criteria":[107],"literature,":[110],"incorporate":[113],"both":[114],"information,":[118],"precise":[121],"bounds":[122],"vicinity":[125],"0":[128],"dB":[129],"crossover":[130],"frequency.":[131],"An":[132],"application":[133],"this":[135],"controller":[142],"an":[144],"lateral":[145],"tape":[146],"motion":[147],"compensation":[148],"shows":[150],"its":[151],"utility.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
