{"id":"https://openalex.org/W2807726463","doi":"https://doi.org/10.1080/00207721.2018.1484195","title":"A constrained closed loop MPC based on positive invariance concept for a wastewater treatment plant","display_name":"A constrained closed loop MPC based on positive invariance concept for a wastewater treatment plant","publication_year":2018,"publication_date":"2018-06-18","ids":{"openalex":"https://openalex.org/W2807726463","doi":"https://doi.org/10.1080/00207721.2018.1484195","mag":"2807726463"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2018.1484195","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1484195","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-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/A5079147271","display_name":"Hicham El bahja","orcid":"https://orcid.org/0000-0001-5588-7241"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"H. El bahja","raw_affiliation_strings":["Department of Computer Science and Automation, University of Salamanca, Salamanca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, University of Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041970163","display_name":"Pastora Vega","orcid":"https://orcid.org/0000-0002-3504-2273"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. Vega","raw_affiliation_strings":["Department of Computer Science and Automation, University of Salamanca, Salamanca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, University of Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053224281","display_name":"Fernando Tadeo","orcid":"https://orcid.org/0000-0002-4046-3136"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Tadeo","raw_affiliation_strings":["Industrial Engineering School, University of Valladolid, Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering School, University of Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073577453","display_name":"Mario Francisco","orcid":"https://orcid.org/0000-0002-6505-0936"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Francisco","raw_affiliation_strings":["Higher Technical School of Engineering, Bejar, University of Salamanca, Salamanca, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Higher Technical School of Engineering, Bejar, University of Salamanca, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079147271"],"corresponding_institution_ids":["https://openalex.org/I184999862"],"apc_list":null,"apc_paid":null,"fwci":0.7304,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71261318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"10","first_page":"2101","last_page":"2115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9987000226974487,"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/T11236","display_name":"Control Systems and Identification","score":0.9943000078201294,"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":0.7910311222076416},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6115226745605469},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5436252355575562},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49265795946121216},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43116384744644165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42479854822158813},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41525495052337646},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.36193233728408813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3390253484249115},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3298490047454834},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.32359737157821655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29427915811538696},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13902589678764343}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7910311222076416},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6115226745605469},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5436252355575562},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49265795946121216},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43116384744644165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42479854822158813},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41525495052337646},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.36193233728408813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3390253484249115},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3298490047454834},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32359737157821655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29427915811538696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13902589678764343},{"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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2018.1484195","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1484195","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2101-2115","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2018.1484195","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8700000047683716,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W885299303","https://openalex.org/W1487547432","https://openalex.org/W1543732942","https://openalex.org/W1553064936","https://openalex.org/W1640893558","https://openalex.org/W1966407529","https://openalex.org/W1978956894","https://openalex.org/W1983162028","https://openalex.org/W1984686263","https://openalex.org/W1997219511","https://openalex.org/W2006498909","https://openalex.org/W2022840432","https://openalex.org/W2038749282","https://openalex.org/W2049371147","https://openalex.org/W2055784495","https://openalex.org/W2056098885","https://openalex.org/W2066784534","https://openalex.org/W2076861974","https://openalex.org/W2093310679","https://openalex.org/W2098127909","https://openalex.org/W2116124714","https://openalex.org/W2127580532","https://openalex.org/W2141560115","https://openalex.org/W2149515316","https://openalex.org/W2171505650","https://openalex.org/W2322663325"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W2060165215","https://openalex.org/W2101188133","https://openalex.org/W3202234113","https://openalex.org/W4248731570","https://openalex.org/W2320869598","https://openalex.org/W2381210024","https://openalex.org/W2384015130","https://openalex.org/W2094121346","https://openalex.org/W4285595274"],"abstract_inverted_index":{"This":[0,19],"paper":[1],"presents":[2],"a":[3,8,22,130],"new":[4],"methodology":[5,20],"to":[6,25,69,77,83,119],"design":[7,59,84],"closed":[9],"loop":[10],"model":[11],"predictive":[12],"control":[13,37,64,94],"(CLMPC)":[14],"using":[15],"polyhedral":[16],"invariant":[17],"sets.":[18],"gives":[21],"simple":[23],"solution":[24],"this":[26],"type":[27],"of":[28,46,48,57,60,73,137],"control,":[29],"ensuring":[30],"stability":[31,105],"and":[32,96,100,124],"respecting":[33],"non-symmetrical":[34],"constraints":[35,91],"on":[36,92],"magnitudes,":[38],"as":[39,41],"well":[40],"moving":[42],"in":[43,66,75,129],"both":[44,93],"modes":[45],"operation":[47],"the":[49,58,61,67,71,85,107,125,135,138],"dual":[50],"controller.":[51],"The":[52,115],"proposed":[53],"algorithm":[54],"takes":[55],"advantage":[56],"state":[62],"feedback":[63],"law":[65],"CLMPC":[68,79],"increase":[70],"degrees":[72],"freedom,":[74],"contrast":[76],"other":[78],"approaches.":[80],"In":[81],"order":[82],"controller":[86,116],"so":[87],"that":[88],"it":[89],"respects":[90],"magnitudes":[95],"its":[97],"increments,":[98],"necessary":[99],"sufficient":[101],"conditions":[102],"for":[103,112],"asymptotic":[104],"at":[106],"origin":[108],"have":[109],"been":[110],"developed":[111],"linear":[113,122],"systems.":[114],"is":[117],"applied":[118],"an":[120],"illustrative":[121],"example":[123],"activated":[126],"sludge":[127],"process":[128],"wastewater":[131],"treatment":[132],"plant,":[133],"showing":[134],"efficiency":[136],"proposal.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
