{"id":"https://openalex.org/W4385451877","doi":"https://doi.org/10.23919/ecc57647.2023.10178368","title":"Hybrid Optimal Control for Dynamical Systems using Gaussian Process Regression and Unscented Transform<sup>*</sup>","display_name":"Hybrid Optimal Control for Dynamical Systems using Gaussian Process Regression and Unscented Transform<sup>*</sup>","publication_year":2023,"publication_date":"2023-06-13","ids":{"openalex":"https://openalex.org/W4385451877","doi":"https://doi.org/10.23919/ecc57647.2023.10178368"},"language":"en","primary_location":{"id":"doi:10.23919/ecc57647.2023.10178368","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","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/A5040102378","display_name":"M. Hesse","orcid":"https://orcid.org/0000-0003-0377-9673"},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Hesse","raw_affiliation_strings":["Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102","institution_ids":["https://openalex.org/I4210152224"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053055917","display_name":"Julia Timmermann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julia Timmermann","raw_affiliation_strings":["Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102","institution_ids":["https://openalex.org/I4210152224"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038277187","display_name":"Ansgar Tr\u00e4chtler","orcid":"https://orcid.org/0000-0001-9987-1655"},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ansgar Tr\u00e4chtler","raw_affiliation_strings":["Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, of Paderborn, F&#x00FC;rstenallee 11,Paderborn,Germany,33102","institution_ids":["https://openalex.org/I4210152224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210152224"],"apc_list":null,"apc_paid":null,"fwci":1.169,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73496203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9993000030517578,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9954000115394592,"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/gaussian-process","display_name":"Gaussian process","score":0.6407104730606079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6083100438117981},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.581998348236084},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.5581169724464417},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5407806038856506},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.49061623215675354},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4514044523239136},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.44759446382522583},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4442826807498932},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41142144799232483},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38315320014953613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3716079592704773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36111149191856384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33105891942977905},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.315666139125824},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24472913146018982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22157660126686096}],"concepts":[{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.6407104730606079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6083100438117981},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.581998348236084},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.5581169724464417},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5407806038856506},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.49061623215675354},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4514044523239136},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44759446382522583},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4442826807498932},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41142144799232483},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38315320014953613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3716079592704773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36111149191856384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33105891942977905},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.315666139125824},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24472913146018982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22157660126686096},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":1,"locations":[{"id":"doi:10.23919/ecc57647.2023.10178368","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311649","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W41554520","https://openalex.org/W1587009522","https://openalex.org/W1967736575","https://openalex.org/W2018468993","https://openalex.org/W2018705428","https://openalex.org/W2099768828","https://openalex.org/W2105945651","https://openalex.org/W2179284380","https://openalex.org/W2221321873","https://openalex.org/W2619551236","https://openalex.org/W2700407638","https://openalex.org/W2767578104","https://openalex.org/W2803275621","https://openalex.org/W2842089854","https://openalex.org/W2859276067","https://openalex.org/W3105252106","https://openalex.org/W3145670798","https://openalex.org/W4211049957","https://openalex.org/W4301014524","https://openalex.org/W6674989108","https://openalex.org/W6685744914","https://openalex.org/W6740033195"],"related_works":["https://openalex.org/W1968813561","https://openalex.org/W1201114281","https://openalex.org/W2154236742","https://openalex.org/W2104769107","https://openalex.org/W1953521331","https://openalex.org/W4240278998","https://openalex.org/W1482140855","https://openalex.org/W2080578447","https://openalex.org/W183350788","https://openalex.org/W2361835903"],"abstract_inverted_index":{"In":[0,24],"this":[1,25],"paper":[2],"we":[3,125],"present":[4],"a":[5,30,119,131],"new":[6],"approach":[7],"to":[8,44],"determine":[9],"optimal":[10,80,113],"control":[11,55,81,114],"sequences":[12],"for":[13,58,118],"nonlinear":[14],"systems":[15],"with":[16,136],"imperfect":[17],"or":[18,49],"partial":[19],"knowledge":[20],"about":[21],"their":[22],"dynamics.":[23],"scenario,":[26],"classical":[27,75],"procedures":[28],"recommend":[29],"more":[31],"complex":[32],"analytical":[33],"modeling":[34],"design,":[35],"an":[36,112,134],"effort":[37],"that":[38],"may":[39],"be":[40],"time":[41],"consuming":[42],"due":[43],"the":[45,71,74,89,93,127],"acquisition":[46],"of":[47,73],"expertise":[48],"possibly":[50],"not":[51],"applicable.":[52],"Our":[53],"hybrid1optimal":[54],"design":[56],"compensates":[57],"model":[59],"errors":[60],"using":[61,88],"Gaussian":[62],"processes":[63],"learned":[64],"from":[65],"measured":[66],"system":[67],"data,":[68],"thus":[69],"overcoming":[70],"limitations":[72],"methodology.":[76],"The":[77],"associated":[78],"hybrid":[79],"problem":[82],"is":[83,115],"set":[84],"up":[85],"and":[86,92,103,111,129,137],"solved":[87],"unscented":[90],"transform":[91],"multiple":[94],"shooting":[95],"approach,":[96],"making":[97],"our":[98],"developed":[99],"method":[100],"flexible,":[101],"data-efficient,":[102],"robust.":[104],"Relevant":[105],"practical":[106],"implementation":[107],"details":[108],"are":[109],"explained":[110],"exemplary":[116],"designed":[117],"fully":[120],"actuated":[121],"double":[122],"pendulum,":[123],"where":[124],"analyze":[126],"results":[128],"draw":[130],"comparison":[132],"between":[133],"application":[135],"without":[138],"existing":[139],"prior":[140],"knowledge.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}