{"id":"https://openalex.org/W4391270711","doi":"https://doi.org/10.1515/auto-2023-0097","title":"The dynamics of a bicycle on a pump track \u2013 first results on modeling and optimal control","display_name":"The dynamics of a bicycle on a pump track \u2013 first results on modeling and optimal control","publication_year":2024,"publication_date":"2024-01-27","ids":{"openalex":"https://openalex.org/W4391270711","doi":"https://doi.org/10.1515/auto-2023-0097"},"language":"en","primary_location":{"id":"doi:10.1515/auto-2023-0097","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1515/auto-2023-0097","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","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/A5093264910","display_name":"Julian Golembiewski","orcid":"https://orcid.org/0009-0002-5403-9376"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julian Golembiewski","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071490738","display_name":"Marcus Schmidt","orcid":"https://orcid.org/0000-0001-9417-544X"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus Schmidt","raw_affiliation_strings":["Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028307806","display_name":"Benedikt Terschluse","orcid":null},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benedikt Terschluse","raw_affiliation_strings":["Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084374060","display_name":"Thomas Jaitner","orcid":"https://orcid.org/0000-0003-3227-8106"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Jaitner","raw_affiliation_strings":["Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Sport and Sport Science, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027191588","display_name":"Thomas Liebig","orcid":"https://orcid.org/0000-0002-9841-1101"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Liebig","raw_affiliation_strings":["Chair of Artificial Intelligence, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Artificial Intelligence, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054359566","display_name":"Timm Faulwasser","orcid":"https://orcid.org/0000-0002-6892-7406"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Timm Faulwasser","raw_affiliation_strings":["Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University , Dortmund , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Energy Systems, Energy Efficiency and Energy Economics, TU Dortmund University , Dortmund , Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5054359566"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":0.3666,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54167785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"72","issue":"2","first_page":"134","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10879","display_name":"Robotic Locomotion and Control","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9789999723434448,"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/track","display_name":"Track (disk drive)","score":0.6351050734519958},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.6078991293907166},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5588264465332031},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5289461612701416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5118150115013123},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5030288100242615},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.4726128876209259},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.42492344975471497},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3511459231376648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20592939853668213},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.160803884267807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15680328011512756},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09448838233947754}],"concepts":[{"id":"https://openalex.org/C89992363","wikidata":"https://www.wikidata.org/wiki/Q5961558","display_name":"Track (disk drive)","level":2,"score":0.6351050734519958},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.6078991293907166},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5588264465332031},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5289461612701416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5118150115013123},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5030288100242615},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.4726128876209259},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.42492344975471497},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3511459231376648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20592939853668213},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.160803884267807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15680328011512756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09448838233947754},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/auto-2023-0097","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1515/auto-2023-0097","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","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":17,"referenced_works":["https://openalex.org/W1699180539","https://openalex.org/W2008999550","https://openalex.org/W2028120176","https://openalex.org/W2050367515","https://openalex.org/W2068100632","https://openalex.org/W2075140542","https://openalex.org/W2078676277","https://openalex.org/W2123871098","https://openalex.org/W2147831411","https://openalex.org/W2781456419","https://openalex.org/W2842089854","https://openalex.org/W2978736202","https://openalex.org/W3103998496","https://openalex.org/W4239825064","https://openalex.org/W4242763237","https://openalex.org/W4250275626","https://openalex.org/W6633326520"],"related_works":["https://openalex.org/W4211139642","https://openalex.org/W2181721856","https://openalex.org/W2381418473","https://openalex.org/W2032986081","https://openalex.org/W2025879371","https://openalex.org/W1502305485","https://openalex.org/W326831310","https://openalex.org/W826886275","https://openalex.org/W4211080513","https://openalex.org/W2227085772"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"the":[3,29,45,49,60,92,96,102,107,112],"dynamics":[4],"of":[5,28,31,41],"a":[6,56,84],"bicycle":[7,32,50],"on":[8,83,125],"an":[9],"uneven":[10],"mountain":[11],"bike":[12,98],"track":[13],"split":[14],"into":[15],"straight":[16,66],"sections":[17],"with":[18,79,121],"small":[19],"jumps":[20],"(kickers)":[21],"and":[22,33,36,111],"banked":[23],"corners.":[24],"A":[25],"basic":[26],"model":[27,93],"interaction":[30],"rider":[34],"proposed":[35],"used":[37],"to":[38,47,59,70],"derive":[39],"equations":[40],"motion,":[42],"which":[43],"capture":[44],"possibilities":[46],"accelerate":[48],"without":[51],"pedaling.":[52],"Since":[53],"this":[54],"is":[55,77,89],"first":[57],"approach":[58],"problem,":[61],"only":[62],"corners":[63],"connected":[64],"by":[65],"lines":[67],"are":[68,117],"considered":[69],"compute":[71],"optimal":[72],"riding":[73],"strategies.":[74],"The":[75],"simulation":[76],"validated":[78],"experimental":[80],"data":[81],"obtained":[82],"real":[85,122],"pump":[86],"track.":[87],"It":[88],"demonstrated":[90],"that":[91],"effectively":[94],"captures":[95],"longitudinal":[97],"acceleration":[99],"resulting":[100],"from":[101],"relative":[103],"vertical":[104],"motion":[105],"between":[106],"rider\u2019s":[108,123],"upper":[109],"body":[110],"bicycle.":[113],"Our":[114],"numerical":[115],"results":[116],"in":[118],"good":[119],"analogy":[120],"actions":[124],"similar":[126],"tracks.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}