{"id":"https://openalex.org/W2107398789","doi":"https://doi.org/10.1155/2014/598384","title":"Dynamical Analysis and Stabilizing Control of Inclined Rotational Translational Actuator Systems","display_name":"Dynamical Analysis and Stabilizing Control of Inclined Rotational Translational Actuator Systems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2107398789","doi":"https://doi.org/10.1155/2014/598384","mag":"2107398789"},"language":"en","primary_location":{"id":"doi:10.1155/2014/598384","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/598384","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/598384.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/598384.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091704948","display_name":"Bingtuan Gao","orcid":"https://orcid.org/0000-0001-6933-0743"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bingtuan Gao","raw_affiliation_strings":["Jiangsu Key Laboratory of Smart Grid Technology and Equipment, Zhenjiang 212009, China","School of Electrical Engineering, Southeast University, Nanjing 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Key Laboratory of Smart Grid Technology and Equipment, Zhenjiang 212009, China","institution_ids":[]},{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100357208","display_name":"Fei Ye","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Ye","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing 210096, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091704948"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.3829,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74089601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9934999942779541,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9934999942779541,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9666000008583069,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9639000296592712,"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/controllability","display_name":"Controllability","score":0.8683046102523804},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8383533358573914},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6070966720581055},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.5421202778816223},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5084840059280396},{"id":"https://openalex.org/keywords/rotor","display_name":"Rotor (electric)","score":0.43800753355026245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4247032403945923},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4161924123764038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37951648235321045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2754524350166321},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21478182077407837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17059272527694702}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8683046102523804},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8383533358573914},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6070966720581055},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.5421202778816223},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5084840059280396},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.43800753355026245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4247032403945923},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4161924123764038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37951648235321045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2754524350166321},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21478182077407837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17059272527694702},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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":4,"locations":[{"id":"doi:10.1155/2014/598384","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/598384","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/598384.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305867","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305867","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:598384","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/598384.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:dc4c8c08e1d64dc3a863027cd10c2df8","is_oa":true,"landing_page_url":"https://doaj.org/article/dc4c8c08e1d64dc3a863027cd10c2df8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/598384","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/598384","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/598384.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4138762304","display_name":null,"funder_award_id":"BK2011456","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8937138951","display_name":"\u6b20\u9a71\u52a82DTORA\u7684\u52a8\u529b\u5b66\u5206\u6790\u4e0e\u8f93\u51fa\u53cd\u9988\u63a7\u5236\u7814\u7a76","funder_award_id":"11102039","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2107398789.pdf","grobid_xml":"https://content.openalex.org/works/W2107398789.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W194456869","https://openalex.org/W1574144138","https://openalex.org/W1619551699","https://openalex.org/W2018996465","https://openalex.org/W2043888726","https://openalex.org/W2045493892","https://openalex.org/W2054832853","https://openalex.org/W2059054810","https://openalex.org/W2059627115","https://openalex.org/W2066828334","https://openalex.org/W2069564295","https://openalex.org/W2090548361","https://openalex.org/W2109044457","https://openalex.org/W2117941826","https://openalex.org/W2122054230","https://openalex.org/W2128592712","https://openalex.org/W2151678481","https://openalex.org/W2156051490","https://openalex.org/W2373843984","https://openalex.org/W3037596171"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W2561315646","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972"],"abstract_inverted_index":{"Rotational":[0],"translational":[1],"actuator":[2],"(RTAC)":[3],"system,":[4,114],"whose":[5],"motions":[6],"occur":[7],"in":[8],"horizontal":[9],"planes,":[10],"is":[11,45,105,115,121],"a":[12,33,96,118],"benchmark":[13],"for":[14,28],"studying":[15],"of":[16,40,69,77,83,112,142],"control":[17,26,98,147],"techniques.":[18],"This":[19],"paper":[20],"presents":[21],"dynamical":[22,144],"analysis":[23,68,145],"and":[24,51,58,71,140,146],"stabilizing":[25,119],"design":[27],"the":[29,41,55,62,84,90,109,113,126,138],"RTAC":[30,43,86],"system":[31,44,91,102],"on":[32,36,61,80,125],"slope.":[34],"Based":[35],"Lagrange":[37],"equations,":[38],"dynamics":[39],"inclined":[42,85],"achieved":[46,122],"by":[47],"selecting":[48],"cart":[49],"position":[50],"rotor":[52,63],"angle":[53],"as":[54,64],"general":[56,65],"coordinates":[57],"torque":[59],"acting":[60],"force.":[66],"The":[67],"equilibriums":[70,78],"their":[72],"controllability":[73,76],"yields":[74],"that":[75],"depends":[79],"inclining":[81],"direction":[82],"system.":[87],"To":[88],"stabilize":[89],"to":[92,107,136],"its":[93],"controllable":[94],"equilibriums,":[95],"proper":[97],"Lyapunov":[99,128],"function":[100],"including":[101],"energy,":[103],"which":[104],"used":[106],"show":[108],"passivity":[110],"property":[111],"designed.":[116],"Consequently,":[117],"controller":[120],"directly":[123],"based":[124],"second":[127],"stability":[129],"theorem.":[130],"Finally,":[131],"numerical":[132],"simulations":[133],"are":[134],"performed":[135],"verify":[137],"correctness":[139],"feasibility":[141],"our":[143],"design.":[148]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}