{"id":"https://openalex.org/W1991888078","doi":"https://doi.org/10.1109/cdc.2011.6161232","title":"Observer-based LPV control of a nonlinear PDE","display_name":"Observer-based LPV control of a nonlinear PDE","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1991888078","doi":"https://doi.org/10.1109/cdc.2011.6161232","mag":"1991888078"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-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/A5103584117","display_name":"Seyed Mahdi Hashemi","orcid":null},"institutions":[{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]},{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Seyed Mahdi Hashemi","raw_affiliation_strings":["Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022335223","display_name":"Herbert Werner","orcid":"https://orcid.org/0000-0003-3456-5539"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Herbert Werner","raw_affiliation_strings":["Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]},{"raw_affiliation_string":"[Institute of Control Systems, Hamburg University of Technology, Eissendorfer Str. 40, 21073, Germany]","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103584117"],"corresponding_institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"],"apc_list":null,"apc_paid":null,"fwci":0.4817,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64265177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"2010","last_page":"2015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9955999851226807,"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/control-theory","display_name":"Control theory (sociology)","score":0.7127213478088379},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5535562038421631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5235000252723694},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5185382962226868},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.45381492376327515},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20230677723884583},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10938230156898499}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7127213478088379},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5535562038421631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5235000252723694},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5185382962226868},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.45381492376327515},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20230677723884583},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10938230156898499},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2011.6161232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:tore.tuhh.de:11420/12187","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/12187","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.41999998688697815,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1496696276","https://openalex.org/W1521912823","https://openalex.org/W1562606913","https://openalex.org/W1579236455","https://openalex.org/W1633869374","https://openalex.org/W1984840493","https://openalex.org/W1993747014","https://openalex.org/W2017902093","https://openalex.org/W2031711324","https://openalex.org/W2038730444","https://openalex.org/W2073302274","https://openalex.org/W2087243276","https://openalex.org/W2101773087","https://openalex.org/W2138627996","https://openalex.org/W2144706259","https://openalex.org/W2158073872","https://openalex.org/W2169114134","https://openalex.org/W2172440936","https://openalex.org/W2485564802","https://openalex.org/W4244813578","https://openalex.org/W6631138030","https://openalex.org/W6633802276","https://openalex.org/W6649009794"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"observer-based":[3,102,120],"linear":[4,89],"parameter-varying":[5],"(LPV)":[6],"control":[7,34],"of":[8,91,110,128,149],"the":[9,28,71,85,94,111,118,125,150],"one-dimensional":[10],"nonlinear":[11,37,145],"Burgers'":[12],"equation":[13,19],"is":[14,20,42,51,62,67,82,98],"presented.":[15],"The":[16],"partial":[17],"differential":[18],"discretized":[21],"using":[22],"a":[23,75,144,159],"finite":[24],"difference":[25],"scheme":[26],"and":[27,44,74,130],"boundary":[29],"conditions":[30],"are":[31,88],"taken":[32],"as":[33],"inputs.":[35],"A":[36,57],"high-order":[38],"state":[39,103],"space":[40],"model":[41,54,60,73],"generated":[43],"proper":[45],"orthogonal":[46],"decomposition":[47],"based":[48,69,157],"Galerkin":[49],"projection":[50],"used":[52],"for":[53],"order":[55],"reduction.":[56],"discrete-time":[58],"quasi-LPV":[59],"that":[61,117],"affine":[63],"in":[64],"scheduling":[65,86,112],"parameters":[66,87],"derived":[68],"on":[70,158],"reduced":[72],"polytopic":[76],"dynamic":[77],"output":[78,138],"feedback":[79,104,139],"LPV":[80,121,140,151],"controller":[81,97,105,122,141,156],"synthesized.":[83],"Since":[84],"combinations":[90],"system":[92],"states,":[93],"synthesized":[95],"output-feedback":[96],"converted":[99],"to":[100,136],"an":[101,108,137,154],"which":[106],"provides":[107],"estimate":[109],"parameters.":[113],"Simulation":[114],"results":[115],"demonstrate":[116],"designed":[119],"has":[123],"almost":[124],"same":[126],"level":[127],"disturbance":[129],"measurement":[131],"noise":[132],"rejection":[133],"capability":[134],"compared":[135],"combined":[142],"with":[143],"observer.":[146],"Moreover,":[147],"both":[148],"controllers":[152],"outperform":[153],"LQG":[155],"linearized":[160],"model.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}