{"id":"https://openalex.org/W2550491676","doi":"https://doi.org/10.1109/iccsce.2011.6190585","title":"Optimal control of nonlinear inverted pendulum dynamical system with disturbance input using PID controller &amp;amp; LQR","display_name":"Optimal control of nonlinear inverted pendulum dynamical system with disturbance input using PID controller &amp;amp; LQR","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2550491676","doi":"https://doi.org/10.1109/iccsce.2011.6190585","mag":"2550491676"},"language":"en","primary_location":{"id":"doi:10.1109/iccsce.2011.6190585","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsce.2011.6190585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control System, Computing and Engineering","raw_type":"proceedings-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/A5069037348","display_name":"Lal Bahadur Prasad","orcid":"https://orcid.org/0000-0002-4032-5294"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Lal Bahadur Prasad","raw_affiliation_strings":["Graduate Student Member, IEEE & IEEE CSS, Research Scholar (QIP), Department of Electrical Engineering, Indian Institute of Technology Roorkee, India"],"affiliations":[{"raw_affiliation_string":"Graduate Student Member, IEEE & IEEE CSS, Research Scholar (QIP), Department of Electrical Engineering, Indian Institute of Technology Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000206206","display_name":"Barjeev Tyagi","orcid":"https://orcid.org/0000-0001-6277-3066"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Barjeev Tyagi","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Roorkee, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110437815","display_name":"Hari Om Gupta","orcid":null},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Hari Om Gupta","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Roorkee, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Roorkee, India","institution_ids":["https://openalex.org/I154851008"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069037348"],"corresponding_institution_ids":["https://openalex.org/I154851008"],"apc_list":null,"apc_paid":null,"fwci":5.2201,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.95629919,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"540","last_page":"545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9955999851226807,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9955999851226807,"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":0.9861999750137329,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9824000000953674,"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/control-theory","display_name":"Control theory (sociology)","score":0.877431333065033},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.8442331552505493},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.8389235138893127},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.6705745458602905},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6055500507354736},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5901620388031006},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5094013810157776},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.46891507506370544},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.44822248816490173},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"Nonlinear control","score":0.4253082275390625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.419717401266098},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.41693320870399475},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3476971387863159},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2884882390499115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27493274211883545},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1815393567085266},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.13379907608032227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10634931921958923},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.08874809741973877}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.877431333065033},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.8442331552505493},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.8389235138893127},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6705745458602905},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6055500507354736},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5901620388031006},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5094013810157776},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.46891507506370544},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.44822248816490173},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.4253082275390625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.419717401266098},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.41693320870399475},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3476971387863159},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2884882390499115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27493274211883545},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1815393567085266},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.13379907608032227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10634931921958923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.08874809741973877},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccsce.2011.6190585","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsce.2011.6190585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Control System, Computing and Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W601549641","https://openalex.org/W1975980184","https://openalex.org/W2020036842","https://openalex.org/W2022089524","https://openalex.org/W2041521369","https://openalex.org/W2150127332","https://openalex.org/W2150778332","https://openalex.org/W2154646022","https://openalex.org/W2161604507","https://openalex.org/W2172067033","https://openalex.org/W2298085263","https://openalex.org/W2313564472","https://openalex.org/W2798534591","https://openalex.org/W2914259485","https://openalex.org/W2914825457","https://openalex.org/W2970911072","https://openalex.org/W3156118547","https://openalex.org/W4237923790"],"related_works":["https://openalex.org/W2775112436","https://openalex.org/W3326829","https://openalex.org/W2350013143","https://openalex.org/W3046172785","https://openalex.org/W2136367476","https://openalex.org/W2385948153","https://openalex.org/W2353814909","https://openalex.org/W2203843426","https://openalex.org/W2049369111","https://openalex.org/W34573732"],"abstract_inverted_index":{"Optimal":[0],"response":[1],"of":[2,33,76,139,150],"the":[3,13,34,46,65,71,119,124,140,147],"controlled":[4],"dynamical":[5,36,48],"systems":[6,37],"is":[7,12,58,102],"desired":[8],"hence":[9],"for":[10,31,63,137],"that":[11],"optimal":[14,21],"control.":[15],"Linear":[16],"quadratic":[17],"regulator":[18],"(LQR),":[19],"an":[20],"control":[22,26,32,45,66,74,87,112,118,141,152],"method,":[23],"and":[24,73,122],"PID":[25,86,109],"which":[27,101],"are":[28,97],"generally":[29],"used":[30,40,59],"linear":[35,105],"have":[38,90,114,134],"been":[39,91,115,135],"in":[41,127],"this":[42,69],"paper":[43,70],"to":[44,99,117],"nonlinear":[47,55,77,94],"system.":[49],"The":[50,93,131,143],"inverted":[51,78,125],"pendulum,":[52],"a":[53,61],"highly":[54],"unstable":[56],"system":[57,81,95],"as":[60],"benchmark":[62],"implementing":[64],"methods.":[67,153],"In":[68],"modeling":[72],"design":[75],"pendulum-cart":[79],"dynamic":[80],"with":[82],"disturbance":[83],"input":[84],"using":[85,104],"&":[88,110],"LQR":[89,100,111,151],"presented.":[92],"states":[96],"fed":[98],"designed":[103],"state-space":[106],"model.":[107],"Here":[108],"methods":[113],"implemented":[116],"cart":[120],"position":[121],"stabilize":[123],"pendulum":[126],"vertically":[128],"upright":[129],"position.":[130],"MATLAB-SIMULINK":[132],"models":[133],"developed":[136],"simulation":[138,144],"schemes.":[142],"results":[145],"justify":[146],"comparative":[148],"advantages":[149]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
