{"id":"https://openalex.org/W2100705195","doi":"https://doi.org/10.1109/acc.2011.5990611","title":"Offline NMPC for continuous-time systems using sum of squares","display_name":"Offline NMPC for continuous-time systems using sum of squares","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2100705195","doi":"https://doi.org/10.1109/acc.2011.5990611","mag":"2100705195"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5990611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American 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/A5062599157","display_name":"Frederik Deroo","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frederik Deroo","raw_affiliation_strings":["Institute of Automatic Control Engineering (LSR), Technische Universit\u00e4t M\u00fcnchen, Germany","Institute of Automatic Control Engineering (LSR), Technische Universit\u00e4t, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control Engineering (LSR), Technische Universit\u00e4t M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Institute of Automatic Control Engineering (LSR), Technische Universit\u00e4t, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102824898","display_name":"Christoph Maier","orcid":"https://orcid.org/0000-0002-7841-7530"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Maier","raw_affiliation_strings":["Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]"],"affiliations":[{"raw_affiliation_string":"Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103200299","display_name":"Christoph B\u00f6hm","orcid":"https://orcid.org/0000-0002-4526-4515"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Bohm","raw_affiliation_strings":["Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]"],"affiliations":[{"raw_affiliation_string":"Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]"],"affiliations":[{"raw_affiliation_string":"Allg\u00f6wer Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"[Institute for Systems Theory and Automatic Control (IST), University of Stuttgart, Germany]","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062599157"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":1.305,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85006704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":null,"first_page":"5163","last_page":"5168"},"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/T11236","display_name":"Control Systems and Identification","score":0.998199999332428,"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":0.9975000023841858,"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/model-predictive-control","display_name":"Model predictive control","score":0.712864875793457},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5780835151672363},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5711056590080261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.566752552986145},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.556021511554718},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5542925596237183},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.5083748698234558},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.49694493412971497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49464675784111023},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4548620879650116},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43974313139915466},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4338814616203308},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.41060465574264526},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25085633993148804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24478942155838013},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24369624257087708},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1853070855140686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10700684785842896}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.712864875793457},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5780835151672363},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5711056590080261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.566752552986145},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.556021511554718},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5542925596237183},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.5083748698234558},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.49694493412971497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49464675784111023},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4548620879650116},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43974313139915466},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4338814616203308},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.41060465574264526},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25085633993148804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24478942155838013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24369624257087708},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1853070855140686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10700684785842896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5990611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1559197676","https://openalex.org/W1967073510","https://openalex.org/W1969720370","https://openalex.org/W1976410223","https://openalex.org/W1978956894","https://openalex.org/W1993171261","https://openalex.org/W1996715315","https://openalex.org/W2000927067","https://openalex.org/W2029481372","https://openalex.org/W2038917671","https://openalex.org/W2041109651","https://openalex.org/W2079325629","https://openalex.org/W2083053694","https://openalex.org/W2097166675","https://openalex.org/W2107526949","https://openalex.org/W2107577395","https://openalex.org/W2119458360","https://openalex.org/W2123229089","https://openalex.org/W2129616157","https://openalex.org/W2133404041","https://openalex.org/W2135808216","https://openalex.org/W2141527307","https://openalex.org/W2148061821","https://openalex.org/W2155724501","https://openalex.org/W2159293839","https://openalex.org/W2160269310","https://openalex.org/W2164484193","https://openalex.org/W2165294102","https://openalex.org/W2169141493","https://openalex.org/W2182510773","https://openalex.org/W2296319761","https://openalex.org/W2536620281","https://openalex.org/W3210839039","https://openalex.org/W4250589301","https://openalex.org/W6683335567","https://openalex.org/W6683861990","https://openalex.org/W6684061903","https://openalex.org/W6685021327"],"related_works":["https://openalex.org/W2767128392","https://openalex.org/W4205300464","https://openalex.org/W4324118942","https://openalex.org/W2913057782","https://openalex.org/W2734993473","https://openalex.org/W2185064329","https://openalex.org/W2187229407","https://openalex.org/W3030201206","https://openalex.org/W2059909660","https://openalex.org/W2734242255"],"abstract_inverted_index":{"An":[0],"offline":[1,71,116],"nonlinear":[2,11,25],"model":[3],"predictive":[4],"control":[5],"(NMPC)":[6],"approach":[7,22],"for":[8,110],"continuous":[9],"time":[10],"systems":[12,26],"subject":[13,87],"to":[14,88,104],"input":[15],"and":[16,77,121,126],"state":[17],"constraints":[18,93],"is":[19,40,102,128],"presented.":[20],"The":[21,66,114],"deals":[23],"with":[24,60],"which":[27,47],"can":[28,51],"be":[29,52],"represented":[30],"by":[31,43,81,130],"polynomial":[32],"parameter-varying":[33],"systems.":[34],"Since":[35],"the":[36,44,70,106,111],"applicability":[37,125],"of":[38,73,90,132,134],"NMPC":[39,58,117],"often":[41],"limited":[42],"speed":[45],"at":[46],"an":[48,57,135],"optimization":[49,85],"problem":[50,86],"solved":[53],"online,":[54],"we":[55],"propose":[56],"scheme":[59],"drastically":[61],"reduced":[62],"online":[63],"computational":[64],"burden.":[65],"basic":[67],"idea":[68],"involves":[69],"computation":[72],"nested":[74],"invariant":[75],"sets":[76],"associated":[78],"feedback":[79,107],"laws":[80],"solving":[82],"a":[83,99],"convex":[84],"sum":[89],"squares":[91],"(SOS)":[92],"via":[94],"semideflnite":[95],"programming":[96],"(SDP).":[97],"Online,":[98],"search":[100],"algorithm":[101],"executed":[103],"determine":[105],"law":[108],"suitable":[109],"current":[112],"state.":[113],"resulting":[115],"controller":[118],"guarantees":[119],"stability":[120],"constraint":[122],"satisfaction.":[123],"Its":[124],"effectiveness":[127],"shown":[129],"means":[131],"simulation":[133],"example":[136],"system.":[137]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}