{"id":"https://openalex.org/W2289086291","doi":"https://doi.org/10.1109/tcst.2015.2460693","title":"Optimal Trajectories for Vibration Reduction Based on Exponential Filters","display_name":"Optimal Trajectories for Vibration Reduction Based on Exponential Filters","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2289086291","doi":"https://doi.org/10.1109/tcst.2015.2460693","mag":"2289086291"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2015.2460693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2015.2460693","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://iris.unimore.it/bitstream/11380/1072756/5/ExponentialJerk_PostPrint.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070487792","display_name":"Luigi Biagiotti","orcid":"https://orcid.org/0000-0002-2343-6929"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luigi Biagiotti","raw_affiliation_strings":["Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, Modena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2343-6929","affiliations":[{"raw_affiliation_string":"Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, Modena, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082136401","display_name":"Claudio Melchiorri","orcid":"https://orcid.org/0000-0002-8475-6782"},"institutions":[{"id":"https://openalex.org/I2801039369","display_name":"Marconi University","ror":"https://ror.org/00j0rk173","country_code":"IT","type":"education","lineage":["https://openalex.org/I2801039369"]},{"id":"https://openalex.org/I4210098188","display_name":"Laboratori Guglielmo Marconi (Italy)","ror":"https://ror.org/01r3vad87","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210098188"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Melchiorri","raw_affiliation_strings":["Department of Electrical, Electronic and Information Engineering Guglielmo Marconi, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Engineering Guglielmo Marconi, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I2801039369","https://openalex.org/I4210098188","https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077116339","display_name":"Lorenzo Moriello","orcid":"https://orcid.org/0000-0003-1727-7914"},"institutions":[{"id":"https://openalex.org/I2801039369","display_name":"Marconi University","ror":"https://ror.org/00j0rk173","country_code":"IT","type":"education","lineage":["https://openalex.org/I2801039369"]},{"id":"https://openalex.org/I4210098188","display_name":"Laboratori Guglielmo Marconi (Italy)","ror":"https://ror.org/01r3vad87","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210098188"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Moriello","raw_affiliation_strings":["Department of Electrical, Electronic and Information Engineering Guglielmo Marconi, University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Engineering Guglielmo Marconi, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I2801039369","https://openalex.org/I4210098188","https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3431,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.9533424,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9998999834060669,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9998999834060669,"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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9986000061035156,"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/jerk","display_name":"Jerk","score":0.9606369733810425},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8342492580413818},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6421730518341064},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.6218557953834534},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6040780544281006},{"id":"https://openalex.org/keywords/input-shaping","display_name":"Input shaping","score":0.5778859853744507},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5389140248298645},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5319887399673462},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5279079079627991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43300861120224},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.43153250217437744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3300541639328003},{"id":"https://openalex.org/keywords/vibration-control","display_name":"Vibration control","score":0.31345075368881226},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20548811554908752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18272042274475098},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17732161283493042},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.17320379614830017},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09797948598861694}],"concepts":[{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.9606369733810425},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8342492580413818},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6421730518341064},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6218557953834534},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6040780544281006},{"id":"https://openalex.org/C2778512855","wikidata":"https://www.wikidata.org/wiki/Q6036808","display_name":"Input shaping","level":4,"score":0.5778859853744507},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5389140248298645},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5319887399673462},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5279079079627991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43300861120224},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.43153250217437744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3300541639328003},{"id":"https://openalex.org/C49240428","wikidata":"https://www.wikidata.org/wiki/Q3305953","display_name":"Vibration control","level":3,"score":0.31345075368881226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20548811554908752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18272042274475098},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17732161283493042},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.17320379614830017},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09797948598861694},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcst.2015.2460693","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2015.2460693","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/1072756","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7219404","pdf_url":"https://iris.unimore.it/bitstream/11380/1072756/5/ExponentialJerk_PostPrint.pdf","source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/548488","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/7219404","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unimore.it:11380/1072756","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7219404","pdf_url":"https://iris.unimore.it/bitstream/11380/1072756/5/ExponentialJerk_PostPrint.pdf","source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2289086291.pdf","grobid_xml":"https://content.openalex.org/works/W2289086291.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1654369324","https://openalex.org/W1866520339","https://openalex.org/W1981643206","https://openalex.org/W1990727235","https://openalex.org/W1999177683","https://openalex.org/W2002000983","https://openalex.org/W2086897591","https://openalex.org/W2112925680","https://openalex.org/W2116154037","https://openalex.org/W2125794019","https://openalex.org/W2126107839","https://openalex.org/W2132926609","https://openalex.org/W2145554247","https://openalex.org/W2147258736","https://openalex.org/W2147592724","https://openalex.org/W2157272628","https://openalex.org/W2506476930","https://openalex.org/W6677050350"],"related_works":["https://openalex.org/W2001350252","https://openalex.org/W189785500","https://openalex.org/W1981643206","https://openalex.org/W2289086291","https://openalex.org/W2157380773","https://openalex.org/W4309737265","https://openalex.org/W4389918772","https://openalex.org/W2084019018","https://openalex.org/W2974064214","https://openalex.org/W2333489014"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,44,54,93],"new":[4],"type":[5],"of":[6,40,46,61,70,77,95,99,116,122,130,137],"trajectory,":[7,133],"based":[8],"on":[9],"an":[10,89],"exponential":[11],"jerk,":[12],"is":[13,24,65],"presented":[14],"along":[15],"with":[16,103,110,124],"filters":[17,112],"for":[18],"their":[19],"online":[20],"generation.":[21],"The":[22,68],"goal":[23],"to":[25,37,126],"generalize":[26],"constant":[27,48],"jerk":[28,49,79],"trajectories,":[29],"widely":[30],"used":[31],"in":[32,35,88,120],"industrial":[33],"applications,":[34],"order":[36],"reduce":[38],"vibrations":[39],"motion":[41,139],"systems.":[42],"As":[43],"matter":[45],"fact,":[47],"trajectories":[50],"do":[51],"not":[52,66],"assure":[53],"complete":[55],"vibration":[56,84],"suppression":[57],"when":[58],"the":[59,62,71,78,96,100,104,114,117,131,138],"damping":[60],"resonant":[63],"modes":[64],"negligible.":[67],"values":[69],"parameters":[72],"(decay":[73],"rate":[74],"and":[75,109,134,142],"duration)":[76],"impulses":[80],"that":[81],"allow":[82],"residual":[83],"cancellation":[85],"are":[86],"derived":[87],"analytical":[90],"way":[91],"as":[92],"function":[94],"dynamic":[97],"characteristics":[98],"plant.":[101],"Comparisons":[102],"well-known":[105],"input":[106],"shaping":[107],"techniques":[108],"system-inversion-based":[111],"show":[113],"advantages":[115],"proposed":[118],"method":[119],"terms":[121],"robustness":[123],"respect":[125],"modeling":[127],"errors,":[128],"smoothness":[129],"resulting":[132],"time":[135],"duration":[136],"under":[140],"velocity":[141],"acceleration":[143],"constraints.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}