{"id":"https://openalex.org/W4387330612","doi":"https://doi.org/10.1080/00207179.2023.2267697","title":"Tracking arbitrary free nutating trajectories of the Lagrange top using Floquet theory: linear feedback approach","display_name":"Tracking arbitrary free nutating trajectories of the Lagrange top using Floquet theory: linear feedback approach","publication_year":2023,"publication_date":"2023-10-04","ids":{"openalex":"https://openalex.org/W4387330612","doi":"https://doi.org/10.1080/00207179.2023.2267697"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2023.2267697","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2023.2267697","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/A5046926780","display_name":"Anirudh Chandramouli","orcid":"https://orcid.org/0000-0001-9176-5612"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anirudh Chandramouli","raw_affiliation_strings":["Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101719974","display_name":"Abhijit Sarkar","orcid":"https://orcid.org/0000-0002-7168-1849"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Abhijit Sarkar","raw_affiliation_strings":["Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India"],"raw_orcid":"https://orcid.org/0000-0002-7168-1849","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101719974"],"corresponding_institution_ids":["https://openalex.org/I24676775"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15126677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"97","issue":"10","first_page":"2314","last_page":"2328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9980000257492065,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.7860565781593323},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7530972957611084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5900275707244873},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5314623117446899},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.5135262608528137},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.508787214756012},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.46135401725769043},{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.41002821922302246},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35545146465301514},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3270026445388794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.31503936648368835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3016703724861145},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.14150464534759521},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12269666790962219}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.7860565781593323},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7530972957611084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5900275707244873},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5314623117446899},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.5135262608528137},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.508787214756012},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.46135401725769043},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.41002821922302246},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35545146465301514},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3270026445388794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.31503936648368835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3016703724861145},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.14150464534759521},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12269666790962219},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2023.2267697","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2023.2267697","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":[{"score":0.550000011920929,"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":42,"referenced_works":["https://openalex.org/W562672926","https://openalex.org/W564461737","https://openalex.org/W628380984","https://openalex.org/W1548953614","https://openalex.org/W1555233889","https://openalex.org/W1965432532","https://openalex.org/W1973941782","https://openalex.org/W1975759460","https://openalex.org/W1985859677","https://openalex.org/W1995733860","https://openalex.org/W2018261315","https://openalex.org/W2021339576","https://openalex.org/W2039303300","https://openalex.org/W2041209427","https://openalex.org/W2049918078","https://openalex.org/W2055375707","https://openalex.org/W2069994325","https://openalex.org/W2085192469","https://openalex.org/W2114948326","https://openalex.org/W2119556926","https://openalex.org/W2126479355","https://openalex.org/W2142166161","https://openalex.org/W2149145472","https://openalex.org/W2163455386","https://openalex.org/W2313751896","https://openalex.org/W2329149633","https://openalex.org/W2476322062","https://openalex.org/W2484591650","https://openalex.org/W2500773986","https://openalex.org/W2590077375","https://openalex.org/W2754413204","https://openalex.org/W2831786932","https://openalex.org/W2900729735","https://openalex.org/W3007327131","https://openalex.org/W3085976120","https://openalex.org/W4241357012","https://openalex.org/W4252217618","https://openalex.org/W4281393320","https://openalex.org/W6612609498","https://openalex.org/W6615582078","https://openalex.org/W6629769240","https://openalex.org/W6780363903"],"related_works":["https://openalex.org/W2996812256","https://openalex.org/W2525543468","https://openalex.org/W2026490863","https://openalex.org/W1996877595","https://openalex.org/W2366743900","https://openalex.org/W2389929639","https://openalex.org/W2369313712","https://openalex.org/W2380496977","https://openalex.org/W2351548249","https://openalex.org/W2099967431"],"abstract_inverted_index":{"AbstractWe":[0],"consider":[1],"the":[2,11,22,27,32,47,54,58,65,68,77,94,102,113,117,121,131,160],"problem":[3],"of":[4,10,19,21,39,57,67,96,120,155],"tracking":[5],"arbitrary":[6],"free":[7],"nutating":[8],"trajectories":[9],"Lagrange":[12,59,143],"top":[13,23,60],"using":[14],"linear":[15,40],"feedback.":[16],"The":[17,89],"equations":[18,41],"motion":[20],"are":[24,74,81,135],"linearised":[25],"about":[26,101],"desired":[28],"trajectories.":[29],"Due":[30],"to":[31,62,129,137],"inherent":[33],"symmetries,":[34],"this":[35],"yields":[36],"a":[37,97,106],"system":[38,150],"with":[42],"periodically":[43,148],"varying":[44],"coefficients":[45],"governing":[46],"error":[48],"dynamics.":[49],"It":[50],"is":[51,92,127],"shown":[52,128,136],"that":[53],"higher-order":[55],"dynamics":[56],"leads":[61],"nuances":[63],"in":[64,76,93],"implementation":[66],"control.":[69],"Two":[70],"different":[71],"control":[72,90,115,122],"strategies":[73,134],"implemented":[75],"present":[78],"work.":[79],"These":[80,133],"applicable":[82],"for":[83,139],"impulsive":[84],"and":[85,105],"short-duration":[86],"disturbances,":[87],"respectively.":[88],"effort":[91,123],"form":[95],"body-fixed":[98],"torque":[99],"input":[100],"symmetry":[103],"axis":[104],"vertical":[107],"space-fixed":[108],"force":[109],"input.":[110],"In":[111],"both":[112],"proposed":[114],"strategies,":[116],"iterative":[118],"application":[119],"over":[124],"multiple":[125],"periods":[126],"stabilise":[130],"error.":[132],"work":[138],"significantly":[140],"large":[141],"errors.Keywords:":[142],"topfloquet":[144],"theorytracking":[145],"controlnonlinear":[146],"controllinear":[147],"time-varying":[149],"Disclosure":[151],"statementNo":[152],"potential":[153],"conflict":[154],"interest":[156],"was":[157],"reported":[158],"by":[159],"author(s).":[161]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
