{"id":"https://openalex.org/W1591279154","doi":"https://doi.org/10.1109/cdc.2005.1582626","title":"Two-Dimensional Frequency Analysis of Structured Uncertainty for Multiple Array Paper Machine Cross-Directional Processes","display_name":"Two-Dimensional Frequency Analysis of Structured Uncertainty for Multiple Array Paper Machine Cross-Directional Processes","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1591279154","doi":"https://doi.org/10.1109/cdc.2005.1582626","mag":"1591279154"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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":"https://openalex.org/A5013889191","display_name":"Junqiang Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154232","display_name":"Honeywell (Canada)","ror":"https://ror.org/04cjgh922","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210154232","https://openalex.org/I82514191"]},{"id":"https://openalex.org/I82514191","display_name":"Honeywell (United States)","ror":"https://ror.org/02t71h845","country_code":"US","type":"company","lineage":["https://openalex.org/I82514191"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Junqiang Fan","raw_affiliation_strings":["Honeywell Automation and Control Solutions, North Vancouver, BC, Canada","Honeywell Automation and Control Solutions, 500 Brooksbank Ave, North Vancouver, BC V7J 3S4, Canada, james. fan@honeywell.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Honeywell Automation and Control Solutions, North Vancouver, BC, Canada","institution_ids":["https://openalex.org/I4210154232"]},{"raw_affiliation_string":"Honeywell Automation and Control Solutions, 500 Brooksbank Ave, North Vancouver, BC V7J 3S4, Canada, james. fan@honeywell.com","institution_ids":["https://openalex.org/I82514191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055045540","display_name":"Guy A. Dumont","orcid":"https://orcid.org/0000-0003-2048-4391"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"G.A. Dumont","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC, Canada","University of British Columbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.05569175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":null,"first_page":"3031","last_page":"3036"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9819999933242798,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9819999933242798,"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":0.9690999984741211,"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":0.9632999897003174,"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/frequency-domain","display_name":"Frequency domain","score":0.6161279678344727},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6121837496757507},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5983399152755737},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.5850812196731567},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5484718084335327},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5380653142929077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5364945530891418},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5326342582702637},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.4986910820007324},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.46896472573280334},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4603111743927002},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4493905007839203},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.4477453827857971},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.41760706901550293},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41289445757865906},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4018248915672302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31722110509872437},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.29031944274902344},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.18240034580230713},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13963070511817932},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13844972848892212},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11818328499794006}],"concepts":[{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6161279678344727},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6121837496757507},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5983399152755737},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.5850812196731567},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5484718084335327},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5380653142929077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5364945530891418},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5326342582702637},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4986910820007324},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46896472573280334},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4603111743927002},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4493905007839203},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.4477453827857971},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.41760706901550293},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41289445757865906},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4018248915672302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31722110509872437},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.29031944274902344},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.18240034580230713},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13963070511817932},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13844972848892212},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11818328499794006},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1582626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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":31,"referenced_works":["https://openalex.org/W605361331","https://openalex.org/W1561941139","https://openalex.org/W1645710496","https://openalex.org/W1850912942","https://openalex.org/W1868559974","https://openalex.org/W1978348066","https://openalex.org/W2001075080","https://openalex.org/W2015386492","https://openalex.org/W2018883830","https://openalex.org/W2026033727","https://openalex.org/W2034444754","https://openalex.org/W2063546790","https://openalex.org/W2065313971","https://openalex.org/W2068647674","https://openalex.org/W2087785740","https://openalex.org/W2101546362","https://openalex.org/W2114324356","https://openalex.org/W2118142130","https://openalex.org/W2118582370","https://openalex.org/W2131588967","https://openalex.org/W2156540201","https://openalex.org/W2161396473","https://openalex.org/W2335845542","https://openalex.org/W2461083576","https://openalex.org/W2469509956","https://openalex.org/W2509944112","https://openalex.org/W3195133498","https://openalex.org/W4210433691","https://openalex.org/W4285719527","https://openalex.org/W6637155672","https://openalex.org/W6725622682"],"related_works":["https://openalex.org/W4387451451","https://openalex.org/W2137300182","https://openalex.org/W75826713","https://openalex.org/W2111706413","https://openalex.org/W2148059640","https://openalex.org/W2167703318","https://openalex.org/W2126690398","https://openalex.org/W2132771233","https://openalex.org/W2147936855","https://openalex.org/W2099137318"],"abstract_inverted_index":{"This":[0,72],"paper":[1,15],"provides":[2],"a":[3,60,80,91],"two-dimensional":[4,69,110],"frequency":[5,70,111],"analysis":[6],"technique":[7],"for":[8,103],"robust":[9,100],"controllers":[10],"of":[11,62],"large-scale":[12,46],"multiple":[13],"array":[14],"machine":[16],"cross-directional":[17],"(CD)":[18],"processes":[19],"with":[20],"structured":[21,35,87],"model":[22,31],"uncertainty.":[23],"For":[24],"such":[25],"spatially-distributed":[26],"dynamical":[27],"systems,":[28],"the":[29,68,75,85,99,104,109],"process":[30],"and":[32,43,78],"its":[33],"realistic":[34,86],"uncertainty":[36,88],"are":[37,49],"assumed":[38],"to":[39],"be":[40,56],"linear,":[41],"spatially-invariant,":[42],"time-invariant.":[44],"These":[45],"MIMO":[47],"systems":[48],"rectangular":[50],"circulant":[51],"matrix":[52],"blocks":[53],"that":[54],"can":[55,96],"conveniently":[57],"transformed":[58],"into":[59],"family":[61],"small":[63],"dimension":[64],"transfer":[65],"functions":[66],"in":[67,108],"domain.":[71,112],"significantly":[73],"simplifies":[74],"controller":[76],"design":[77],"gives":[79],"better":[81],"physical":[82],"insight":[83],"about":[84],"problem.":[89],"Given":[90],"linear":[92],"feedback":[93],"controller,":[94],"we":[95],"easily":[97],"derive":[98],"stability":[101],"condition":[102],"closed-loop":[105],"CD":[106],"system":[107]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}