{"id":"https://openalex.org/W2065648844","doi":"https://doi.org/10.1080/00207170701213474","title":"Robust analysis of flatness based control using interval methods","display_name":"Robust analysis of flatness based control using interval methods","publication_year":2007,"publication_date":"2007-05-01","ids":{"openalex":"https://openalex.org/W2065648844","doi":"https://doi.org/10.1080/00207170701213474","mag":"2065648844"},"language":"en","primary_location":{"id":"doi:10.1080/00207170701213474","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701213474","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","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/A5062729007","display_name":"Felix Antritter","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"F. Antritter","raw_affiliation_strings":["Lehrstuhl f\u00fcr Regelungstechnik , Universit\u00e4t Erlangen-N\u00fcrnberg , D-91058 Erlangen"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Regelungstechnik , Universit\u00e4t Erlangen-N\u00fcrnberg , D-91058 Erlangen","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038621476","display_name":"Marco Kletting","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Kletting","raw_affiliation_strings":["Lehrstuhl f\u00fcr Me\u00df-, Regel- und Mikrotechnik , Universit\u00e4t Ulm , D-89081 Ulm"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Me\u00df-, Regel- und Mikrotechnik , Universit\u00e4t Ulm , D-89081 Ulm","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035143823","display_name":"Edgar Hofer","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"E. P. Hofer","raw_affiliation_strings":["Lehrstuhl f\u00fcr Me\u00df-, Regel- und Mikrotechnik , Universit\u00e4t Ulm , D-89081 Ulm"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl f\u00fcr Me\u00df-, Regel- und Mikrotechnik , Universit\u00e4t Ulm , D-89081 Ulm","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062729007"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":2.54260417,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90719332,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"80","issue":"5","first_page":"816","last_page":"823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear 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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear 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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9929999709129333,"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":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8571864366531372},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7967269420623779},{"id":"https://openalex.org/keywords/flatness","display_name":"Flatness (cosmology)","score":0.6476332545280457},{"id":"https://openalex.org/keywords/continuous-stirred-tank-reactor","display_name":"Continuous stirred-tank reactor","score":0.6295779943466187},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.610967218875885},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.5572693943977356},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4654342234134674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4539269804954529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4044831097126007},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3616366386413574},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.29422569274902344},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2716279625892639},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14555507898330688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09071868658065796}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8571864366531372},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7967269420623779},{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.6476332545280457},{"id":"https://openalex.org/C67334161","wikidata":"https://www.wikidata.org/wiki/Q457904","display_name":"Continuous stirred-tank reactor","level":2,"score":0.6295779943466187},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.610967218875885},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.5572693943977356},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4654342234134674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4539269804954529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4044831097126007},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3616366386413574},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.29422569274902344},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2716279625892639},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14555507898330688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09071868658065796},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207170701213474","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170701213474","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W6130210","https://openalex.org/W48920821","https://openalex.org/W306903215","https://openalex.org/W572554548","https://openalex.org/W1686535888","https://openalex.org/W1983174392","https://openalex.org/W2008271098","https://openalex.org/W2062371491","https://openalex.org/W2065297540","https://openalex.org/W2095748593","https://openalex.org/W2100645164","https://openalex.org/W2112396687","https://openalex.org/W2116679494","https://openalex.org/W2134357961","https://openalex.org/W2163967696","https://openalex.org/W2604427164"],"related_works":["https://openalex.org/W2520930352","https://openalex.org/W582507901","https://openalex.org/W3083038899","https://openalex.org/W2073241354","https://openalex.org/W2060147858","https://openalex.org/W2363362436","https://openalex.org/W2373933346","https://openalex.org/W3023897962","https://openalex.org/W1988845110","https://openalex.org/W6130210"],"abstract_inverted_index":{"In":[0,46],"this":[1],"paper":[2],"a":[3,70,89,94],"new":[4],"approach":[5,66],"to":[6,24,48,55,58],"the":[7,30,39,74,77,83,99],"robustness":[8,60,84],"analysis":[9,85],"of":[10,76,82],"flatness":[11],"based":[12],"tracking":[13,96],"controllers":[14,53],"using":[15],"interval":[16],"methods":[17],"is":[18,86],"proposed.":[19],"This":[20],"methodology":[21],"allows":[22],"us":[23],"explicitely":[25],"determine":[26],"admissible":[27],"intervals":[28],"for":[29,38,88,98],"uncertain":[31],"parameters":[32],"such":[33],"that":[34],"specified":[35],"error":[36],"bounds":[37],"state":[40],"space":[41],"trajectories":[42],"are":[43],"not":[44],"violated.":[45],"contrast":[47],"earlier":[49],"approaches":[50],"no":[51,69],"additional":[52],"have":[54],"be":[56],"considered":[57],"take":[59],"properties":[61],"into":[62],"account.":[63],"The":[64,80],"presented":[65],"also":[67],"poses":[68],"priori":[71],"restrictions":[72],"on":[73],"velocity":[75],"reference":[78],"trajectory.":[79],"application":[81],"demonstrated":[87],"feedforward":[90],"as":[91,93],"well":[92],"feedback":[95],"controller":[97],"Van":[100],"de":[101],"Vusse":[102],"type":[103],"continuous":[104],"stirred":[105],"tank":[106],"reactor":[107],"(CSTR).":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
