{"id":"https://openalex.org/W4401426185","doi":"https://doi.org/10.1177/01423312241262067","title":"Lyapunov-based fractional-order PID controller design for coupled nonlinear system","display_name":"Lyapunov-based fractional-order PID controller design for coupled nonlinear system","publication_year":2024,"publication_date":"2024-08-08","ids":{"openalex":"https://openalex.org/W4401426185","doi":"https://doi.org/10.1177/01423312241262067"},"language":"en","primary_location":{"id":"doi:10.1177/01423312241262067","is_oa":false,"landing_page_url":"https://doi.org/10.1177/01423312241262067","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"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":"Transactions of the Institute of Measurement and 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/A5088338096","display_name":"Hammad Zaki","orcid":"https://orcid.org/0000-0001-7576-7466"},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]},{"id":"https://openalex.org/I173207729","display_name":"University of Engineering and Technology Taxila","ror":"https://ror.org/03v00ka07","country_code":"PK","type":"education","lineage":["https://openalex.org/I173207729"]}],"countries":["PK","TR"],"is_corresponding":true,"raw_author_name":"Hammad Zaki","raw_affiliation_strings":["Departement of Mechatronics Engineering, Sabanci University, Turkey","Department of Electronics Engineering, UET Taxila, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7576-7466","affiliations":[{"raw_affiliation_string":"Departement of Mechatronics Engineering, Sabanci University, Turkey","institution_ids":["https://openalex.org/I134235054"]},{"raw_affiliation_string":"Department of Electronics Engineering, UET Taxila, Pakistan","institution_ids":["https://openalex.org/I173207729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042933854","display_name":"Aamir Rashid","orcid":"https://orcid.org/0000-0002-9775-1577"},"institutions":[{"id":"https://openalex.org/I173207729","display_name":"University of Engineering and Technology Taxila","ror":"https://ror.org/03v00ka07","country_code":"PK","type":"education","lineage":["https://openalex.org/I173207729"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Aamir Rashid","raw_affiliation_strings":["Department of Electronics Engineering, UET Taxila, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering, UET Taxila, Pakistan","institution_ids":["https://openalex.org/I173207729"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031295247","display_name":"Usman Masud","orcid":"https://orcid.org/0000-0003-1067-4415"},"institutions":[{"id":"https://openalex.org/I173207729","display_name":"University of Engineering and Technology Taxila","ror":"https://ror.org/03v00ka07","country_code":"PK","type":"education","lineage":["https://openalex.org/I173207729"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Usman Masud","raw_affiliation_strings":["Department of Electronics Engineering, UET Taxila, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering, UET Taxila, Pakistan","institution_ids":["https://openalex.org/I173207729"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088338096"],"corresponding_institution_ids":["https://openalex.org/I134235054","https://openalex.org/I173207729"],"apc_list":null,"apc_paid":null,"fwci":5.4009,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.9631872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"47","issue":"6","first_page":"1046","last_page":"1056"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","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/T11081","display_name":"Advanced Control Systems Design","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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9965000152587891,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.7938949465751648},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.7917790412902832},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.651932418346405},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5077751278877258},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.5010664463043213},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4972248375415802},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4677719175815582},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.4369838237762451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37764424085617065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3365188539028168},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3343676030635834},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2043527364730835},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13284960389137268},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10165122151374817},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.08867493271827698}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7938949465751648},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.7917790412902832},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.651932418346405},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5077751278877258},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.5010664463043213},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4972248375415802},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4677719175815582},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4369838237762451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37764424085617065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3365188539028168},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3343676030635834},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2043527364730835},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13284960389137268},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10165122151374817},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.08867493271827698},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1177/01423312241262067","is_oa":false,"landing_page_url":"https://doi.org/10.1177/01423312241262067","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"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":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"},{"id":"pmh:oai:research.sabanciuniv.edu:51616","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:research.sabanciuniv.edu:49820","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/49820/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.5299999713897705,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1204148594","https://openalex.org/W1534826615","https://openalex.org/W1605182429","https://openalex.org/W1919371987","https://openalex.org/W2005181538","https://openalex.org/W2021435432","https://openalex.org/W2026486926","https://openalex.org/W2055342221","https://openalex.org/W2072093910","https://openalex.org/W2078853502","https://openalex.org/W2084600389","https://openalex.org/W2087527455","https://openalex.org/W2091763273","https://openalex.org/W2096322288","https://openalex.org/W2116738021","https://openalex.org/W2259227674","https://openalex.org/W2261738981","https://openalex.org/W2409981902","https://openalex.org/W2474788283","https://openalex.org/W2477921776","https://openalex.org/W2587550986","https://openalex.org/W2608299291","https://openalex.org/W2614263103","https://openalex.org/W2800985768","https://openalex.org/W2915264809","https://openalex.org/W2970871582","https://openalex.org/W3010443097","https://openalex.org/W3087838038","https://openalex.org/W3112133169","https://openalex.org/W3113514849","https://openalex.org/W4249986322","https://openalex.org/W4295943045","https://openalex.org/W4308095362","https://openalex.org/W4362614309","https://openalex.org/W4386020945","https://openalex.org/W4387745592"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W1964805920","https://openalex.org/W3194517843","https://openalex.org/W3217133416","https://openalex.org/W2234502090","https://openalex.org/W4388874082","https://openalex.org/W2147929414","https://openalex.org/W2496188264","https://openalex.org/W2101859637","https://openalex.org/W2383986032"],"abstract_inverted_index":{"Coupled":[0],"nonlinear":[1,155],"systems":[2],"are":[3,143,149],"difficult":[4],"to":[5,8,38,56,82,100,117,138],"control":[6,43,59],"due":[7],"the":[9,41,52,58,65,79,86,102,105,109,119,123,158,164,167,173,189],"adverse":[10],"effects":[11,16],"of":[12,30,44,104,157,166],"uncertainties":[13],"and":[14,34,47,61,88,130,153,178,199],"coupling":[15],"with":[17,40,184,194],"increased":[18],"sensor":[19,111,179],"noise.":[20,112,180],"This":[21],"paper":[22],"proposes":[23],"an":[24],"improved":[25],"Lyapunov-based":[26],"composite":[27],"controller":[28,121],"consisting":[29],"fractional-order":[31],"proportional\u2013integral\u2013derivative":[32],"(FOPID)":[33],"velocity-based":[35],"disturbance":[36,73,94],"observer":[37,74,95],"deal":[39],"motion":[42],"uncertain,":[45],"nonlinear,":[46],"coupled":[48,69,154],"system.":[49,70],"FOPID":[50,198],"utilizes":[51],"stable":[53],"filtered":[54],"error":[55],"facilitate":[57],"development":[60],"stability":[62,125],"analysis":[63,114],"for":[64],"multi-input":[66],"multi-output":[67],"(MIMO)":[68],"Moreover,":[71],"a":[72],"is":[75,98,115,135,170],"developed":[76],"by":[77],"utilizing":[78],"velocity":[80],"signals":[81,142],"provide":[83],"robustness":[84,103,196],"against":[85,172],"disturbances":[87],"parametric":[89],"uncertainties.":[90],"Enhanced":[91],"infinite":[92],"order":[93,201],"(EIFDOB)":[96],"structure":[97],"used":[99],"improve":[101],"introduced":[106,120],"technique":[107,169,191],"despite":[108],"high-frequency":[110],"Stability":[113],"provided":[116],"verify":[118],"through":[122],"Lyapunov":[124],"theorem,":[126],"LaSalle\u2019s":[127],"invariance":[128],"principle,":[129],"Barbalat\u2019s":[131],"lemma.":[132],"Signal":[133],"chasing":[134],"also":[136],"presented":[137,168,183],"show":[139,187],"that":[140,188],"all":[141],"ultimately":[144],"bounded.":[145],"Comprehensive":[146],"numerical":[147],"simulations":[148],"performed":[150,192],"on":[151],"high-fidelity":[152],"model":[156],"twin":[159],"rotor":[160],"MIMO":[161],"system":[162],"where":[163],"efficiency":[165],"examined":[171],"external":[174],"disturbances,":[175],"matched":[176],"uncertainties,":[177],"The":[181],"results":[182],"different":[185],"scenarios":[186],"proposed":[190],"better":[193],"more":[195],"than":[197],"integer":[200],"proportional\u2013integral\u2013derivative.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}