{"id":"https://openalex.org/W1754437633","doi":"https://doi.org/10.1109/acc.2003.1243478","title":"Proper orthogonal decomposition based modeling and experimental implementation of a neurocontroller for a heat diffusion system","display_name":"Proper orthogonal decomposition based modeling and experimental implementation of a neurocontroller for a heat diffusion system","publication_year":2004,"publication_date":"2004-02-03","ids":{"openalex":"https://openalex.org/W1754437633","doi":"https://doi.org/10.1109/acc.2003.1243478","mag":"1754437633"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2003.1243478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1243478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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/A5037448805","display_name":"Prashant Prabhat","orcid":null},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Prabhat","raw_affiliation_strings":["Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051014865","display_name":"S.N. Balakrishnan","orcid":"https://orcid.org/0000-0002-9506-401X"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.N. Balakrishnan","raw_affiliation_strings":["Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111952083","display_name":"D. C. Look","orcid":null},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.C. Look","raw_affiliation_strings":["Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070039223","display_name":"Radhakant Padhi","orcid":"https://orcid.org/0000-0001-5638-0995"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Padhi","raw_affiliation_strings":["Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Eng. and Engineering Mechanics, University of Missouri, Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng. & Eng. Mech., Missouri Univ., Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20382870"],"apc_list":null,"apc_paid":null,"fwci":0.4838,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.63157895,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":null,"first_page":"2652","last_page":"2657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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/T11236","display_name":"Control Systems and Identification","score":0.9926999807357788,"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/T10320","display_name":"Neural Networks and Applications","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/basis-function","display_name":"Basis function","score":0.6831061840057373},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6255528926849365},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6110206842422485},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5738468170166016},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5730763077735901},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5648011565208435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5343090295791626},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.512740969657898},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4941385090351105},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.46728381514549255},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.45494744181632996},{"id":"https://openalex.org/keywords/orthogonal-functions","display_name":"Orthogonal functions","score":0.42717617750167847},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.41465163230895996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3248351812362671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3184085488319397},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19095787405967712},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1685439944267273},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1375531554222107},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1333656907081604},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12023922801017761},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.10845330357551575}],"concepts":[{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.6831061840057373},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6255528926849365},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6110206842422485},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5738468170166016},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5730763077735901},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5648011565208435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5343090295791626},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.512740969657898},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4941385090351105},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.46728381514549255},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.45494744181632996},{"id":"https://openalex.org/C135925592","wikidata":"https://www.wikidata.org/wiki/Q2637908","display_name":"Orthogonal functions","level":2,"score":0.42717617750167847},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41465163230895996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3248351812362671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3184085488319397},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19095787405967712},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1685439944267273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1375531554222107},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1333656907081604},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12023922801017761},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10845330357551575},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2003.1243478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1243478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.872.858","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.872.858","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/R_Padhi/publication/4039253_Proper_orthogonal_decomposition_based_modeling_and_experimental_implementation_of_a_neurocontroller_for_a_heat_diffusion_system/links/0f3175310b541b2a01000000.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8100000023841858,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W6323944","https://openalex.org/W2013184330","https://openalex.org/W2077763222","https://openalex.org/W2141000826","https://openalex.org/W2337510597","https://openalex.org/W6703680593"],"related_works":["https://openalex.org/W1685120052","https://openalex.org/W1984726292","https://openalex.org/W3106385364","https://openalex.org/W2156202908","https://openalex.org/W1985614565","https://openalex.org/W3152905387","https://openalex.org/W2384341120","https://openalex.org/W2695807795","https://openalex.org/W3027134404","https://openalex.org/W2091345810"],"abstract_inverted_index":{"Experimental":[0,162],"implementation":[1],"of":[2,20,27,54,94,152],"a":[3,11,25,48,139],"dual":[4,73],"neural":[5,74,95],"network":[6,75],"based":[7],"optimal":[8,84],"controller":[9],"for":[10,86],"heat":[12,154],"diffusion":[13,155],"system":[14,58,156],"is":[15,59,63,80,123],"presented.":[16,171],"Using":[17,41],"the":[18,34,55,98,101,104,107,111,114,117,128,132,153],"technique":[19],"proper":[21],"orthogonal":[22],"decomposition":[23],"(POD),":[24],"set":[26,93,109],"problem-oriented":[28],"basis":[29,43,134],"functions":[30,44],"are":[31,144,160,170],"designed":[32],"taking":[33],"experimental":[35,158],"data":[36,159],"as":[37],"snap":[38],"shot":[39],"solutions.":[40],"these":[42],"in":[45,66,138],"Galerkin":[46],"projection,":[47],"reduced-order":[49],"analogous":[50,68],"lumped":[51,69,120],"parameter":[52,57,70,121],"model":[53,62],"distributed":[56],"developed.":[60],"This":[61],"then":[64,124],"used":[65,81],"an":[67],"problem.":[71],"A":[72],"structure":[76],"called":[77],"adaptive":[78],"critics":[79],"to":[82,127,164],"obtain":[83],"neurocontrollers":[85],"this":[87,90],"system.":[88],"In":[89],"structure,":[91],"one":[92],"networks":[96],"captures":[97,110],"relationship":[99,112],"between":[100,113],"states":[102,115],"and":[103,116],"control,":[105],"whereas":[106],"other":[108],"costates.":[118],"The":[119,142],"control":[122],"mapped":[125],"back":[126],"spatial":[129],"dimension,":[130],"using":[131],"same":[133],"functions,":[135],"which":[136],"results":[137,163],"feedback":[140],"control.":[141],"controllers":[143],"implemented":[145],"at":[146],"discrete":[147],"actuator":[148],"locations.":[149],"Modeling":[150],"aspects":[151],"from":[157],"discussed.":[161],"reach":[165],"desired":[166],"final":[167],"temperature":[168],"profiles":[169]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}