{"id":"https://openalex.org/W2133161705","doi":"https://doi.org/10.1177/0959651811407792","title":"Multivariable quantitative feedback theory approach to robust control of vibrational micro-electromechanical systems gyroscope","display_name":"Multivariable quantitative feedback theory approach to robust control of vibrational micro-electromechanical systems gyroscope","publication_year":2011,"publication_date":"2011-09-09","ids":{"openalex":"https://openalex.org/W2133161705","doi":"https://doi.org/10.1177/0959651811407792","mag":"2133161705"},"language":"en","primary_location":{"id":"doi:10.1177/0959651811407792","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651811407792","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5076741500","display_name":"Keivan Torabi","orcid":"https://orcid.org/0000-0002-4692-8125"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"K Torabi","raw_affiliation_strings":["Mechanical Engineering Department, University of Kashan, Kashan, Iran"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of Kashan, Kashan, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061542685","display_name":"Mehdi Vali","orcid":"https://orcid.org/0000-0002-7179-3357"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M Vali","raw_affiliation_strings":["Mechanical Engineering Department, University of Kashan, Kashan, Iran"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of Kashan, Kashan, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032717864","display_name":"Behrouz Ebrahimi","orcid":"https://orcid.org/0000-0003-4605-5464"},"institutions":[{"id":"https://openalex.org/I4210086765","display_name":"Aerospace Research Institute","ror":"https://ror.org/000m4se28","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210086765"]},{"id":"https://openalex.org/I4210086920","display_name":"Ministry of Science, Research and Technology","ror":"https://ror.org/004v5tb85","country_code":"IR","type":"government","lineage":["https://openalex.org/I4210086920"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"B Ebrahimi","raw_affiliation_strings":["Aerospace Research Institute, Ministry of Science, Research, and Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Aerospace Research Institute, Ministry of Science, Research, and Technology, Tehran, Iran","institution_ids":["https://openalex.org/I4210086765","https://openalex.org/I4210086920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061542685"],"corresponding_institution_ids":["https://openalex.org/I105818395"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15388421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"226","issue":"1","first_page":"70","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11160","display_name":"Acoustic Wave Resonator Technologies","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8864963054656982},{"id":"https://openalex.org/keywords/gyroscope","display_name":"Gyroscope","score":0.8529434204101562},{"id":"https://openalex.org/keywords/vibrating-structure-gyroscope","display_name":"Vibrating structure gyroscope","score":0.7566914558410645},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.6111535429954529},{"id":"https://openalex.org/keywords/quantitative-feedback-theory","display_name":"Quantitative feedback theory","score":0.5963865518569946},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5873706936836243},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.49253544211387634},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.47525617480278015},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4514046907424927},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.39456677436828613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3665222227573395},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.31589508056640625},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3140908479690552},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08614012598991394},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0751117467880249},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.06395560503005981}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8864963054656982},{"id":"https://openalex.org/C158488048","wikidata":"https://www.wikidata.org/wiki/Q483400","display_name":"Gyroscope","level":2,"score":0.8529434204101562},{"id":"https://openalex.org/C72768775","wikidata":"https://www.wikidata.org/wiki/Q844456","display_name":"Vibrating structure gyroscope","level":3,"score":0.7566914558410645},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.6111535429954529},{"id":"https://openalex.org/C42744607","wikidata":"https://www.wikidata.org/wiki/Q7268924","display_name":"Quantitative feedback theory","level":4,"score":0.5963865518569946},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5873706936836243},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.49253544211387634},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.47525617480278015},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4514046907424927},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.39456677436828613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3665222227573395},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.31589508056640625},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3140908479690552},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08614012598991394},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0751117467880249},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.06395560503005981},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651811407792","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651811407792","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8999999761581421,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W590542256","https://openalex.org/W611108887","https://openalex.org/W1606047171","https://openalex.org/W1784779299","https://openalex.org/W1971414138","https://openalex.org/W2014481180","https://openalex.org/W2017856252","https://openalex.org/W2020262982","https://openalex.org/W2028837355","https://openalex.org/W2076932452","https://openalex.org/W2092976898","https://openalex.org/W2101995939","https://openalex.org/W2120310282","https://openalex.org/W2127069036","https://openalex.org/W2149128480","https://openalex.org/W2161929232","https://openalex.org/W2334817263","https://openalex.org/W2734758208","https://openalex.org/W3120346404"],"related_works":["https://openalex.org/W4320019880","https://openalex.org/W2018733833","https://openalex.org/W2185308786","https://openalex.org/W2039007435","https://openalex.org/W2138812454","https://openalex.org/W2127249521","https://openalex.org/W2363375256","https://openalex.org/W4312831286","https://openalex.org/W2387531099","https://openalex.org/W1508964151"],"abstract_inverted_index":{"Recent":[0],"advances":[1],"in":[2],"micro-electromechanical":[3],"systems":[4],"(MEMS)":[5],"have":[6,16],"led":[7],"to":[8,62,125,135],"the":[9,35,43,58,69,80,84,95,119,122,129,132,152,164,167],"creation":[10],"of":[11,37,45,57,83,121,131,151,160,166],"small":[12],"low-cost":[13],"gyroscopes":[14,41],"that":[15,32],"low":[17],"power":[18],"consumption":[19],"levels.":[20],"This":[21],"paper":[22],"presents":[23],"a":[24,29,38,64,88,137,143,158],"novel":[25],"design":[26],"methodology":[27],"for":[28],"robust":[30,97,149],"controller":[31,102,170],"can":[33],"improve":[34],"performance":[36,150],"vibratory":[39,48],"MEMS":[40],"despite":[42],"existence":[44],"coupling":[46,107],"between":[47,108],"gyroscope":[49,59,85],"modes":[50],"and":[51,92,115,128,146],"inherent":[52],"model":[53],"uncertainties.":[54,75],"The":[55,148],"drive-mode":[56],"is":[60,72,155,171],"able":[61],"track":[63,136],"desired":[65,138],"sinusoidal":[66,139],"trajectory":[67],"while":[68,79],"sensing":[70,81,123],"mode":[71,82,124,134],"bounded":[73,89,127],"against":[74],"In":[76],"other":[77],"words,":[78],"operates":[86],"under":[87],"unknown":[90],"disturbance":[91],"measurement":[93],"noise,":[94],"multivariable":[96],"quantitative":[98],"feedback":[99],"theory":[100],"(QFT)-based":[101],"compensates":[103],"undesirable":[104],"mechanical":[105],"spring":[106],"two":[109],"vibrating":[110],"directions,":[111],"regulates":[112],"both":[113],"modes,":[114],"most":[116],"significantly":[117],"compels":[118],"output":[120,130],"be":[126],"drive":[133],"reference":[140],"signal":[141],"at":[142],"given":[144],"amplitude":[145],"frequency.":[147],"closed-loop":[153],"system":[154],"verified":[156],"through":[157,173],"series":[159],"frequency-domain":[161],"analyses.":[162],"Finally,":[163],"effectiveness":[165],"proposed":[168],"QFT-based":[169],"demonstrated":[172],"simulations.":[174]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}