{"id":"https://openalex.org/W4403317720","doi":"https://doi.org/10.1080/00207721.2024.2414900","title":"<i>H</i> <sub>\u221e</sub> prescribed tracking performance-based fractional-order sliding mode control for disturbed discrete-time systems: an LMI approach","display_name":"<i>H</i> <sub>\u221e</sub> prescribed tracking performance-based fractional-order sliding mode control for disturbed discrete-time systems: an LMI approach","publication_year":2024,"publication_date":"2024-10-11","ids":{"openalex":"https://openalex.org/W4403317720","doi":"https://doi.org/10.1080/00207721.2024.2414900"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2024.2414900","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2414900","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5077431154","display_name":"Mohammad Soofi","orcid":"https://orcid.org/0000-0001-9563-066X"},"institutions":[{"id":"https://openalex.org/I4210107186","display_name":"Hamedan University of Technology","ror":"https://ror.org/01hgb6e08","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210107186"]},{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Soofi","raw_affiliation_strings":["Hamedan University of Technology","University of Zanjan","Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran","Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamedan University of Technology","institution_ids":["https://openalex.org/I4210107186"]},{"raw_affiliation_string":"University of Zanjan","institution_ids":["https://openalex.org/I99861883"]},{"raw_affiliation_string":"Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran","institution_ids":["https://openalex.org/I4210107186"]},{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran","institution_ids":["https://openalex.org/I99861883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017669587","display_name":"Abolfazl Jalilvand","orcid":"https://orcid.org/0000-0002-2454-7444"},"institutions":[{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abolfazl Jalilvand","raw_affiliation_strings":["University of Zanjan","Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zanjan","institution_ids":["https://openalex.org/I99861883"]},{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran","institution_ids":["https://openalex.org/I99861883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083761842","display_name":"Hadi Delavari","orcid":"https://orcid.org/0000-0002-2538-8801"},"institutions":[{"id":"https://openalex.org/I4210107186","display_name":"Hamedan University of Technology","ror":"https://ror.org/01hgb6e08","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210107186"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hadi Delavari","raw_affiliation_strings":["Hamedan University of Technology","Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamedan University of Technology","institution_ids":["https://openalex.org/I4210107186"]},{"raw_affiliation_string":"Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran","institution_ids":["https://openalex.org/I4210107186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107088210","display_name":"Saleh Mobayen","orcid":null},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]},{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR","TW"],"is_corresponding":true,"raw_author_name":"Saleh Mobayen","raw_affiliation_strings":["National Yunlin University of Science and Technology","University of Zanjan","Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran","Graduate School of Intelligent Data Science, National Yunlin University of Science and Technology, Douliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Yunlin University of Science and Technology","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"University of Zanjan","institution_ids":["https://openalex.org/I99861883"]},{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran","institution_ids":["https://openalex.org/I99861883"]},{"raw_affiliation_string":"Graduate School of Intelligent Data Science, National Yunlin University of Science and Technology, Douliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083761842","https://openalex.org/A5107088210"],"corresponding_institution_ids":["https://openalex.org/I4210107186","https://openalex.org/I75357094","https://openalex.org/I99861883"],"apc_list":null,"apc_paid":null,"fwci":0.8668,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74682638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"56","issue":"5","first_page":"1043","last_page":"1059"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear 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/T10040","display_name":"Adaptive Control of Nonlinear 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/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"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":0.9990000128746033,"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":0.7698398232460022},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.6297376751899719},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6153352856636047},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.5788771510124207},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5389988422393799},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49833011627197266},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4731368124485016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4505513310432434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3847597539424896},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1410222053527832},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13630720973014832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12674784660339355},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12305593490600586},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08765596151351929},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08250090479850769}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7698398232460022},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6297376751899719},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6153352856636047},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.5788771510124207},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5389988422393799},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49833011627197266},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4731368124485016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4505513310432434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3847597539424896},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1410222053527832},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13630720973014832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12674784660339355},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12305593490600586},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08765596151351929},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08250090479850769},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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":2,"locations":[{"id":"doi:10.1080/00207721.2024.2414900","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2414900","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:56:y:2025:i:5:p:1043-1059","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2024.2414900","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1988876996","https://openalex.org/W2031553914","https://openalex.org/W2034098886","https://openalex.org/W2052988689","https://openalex.org/W2077698020","https://openalex.org/W2097121541","https://openalex.org/W2099529534","https://openalex.org/W2115171463","https://openalex.org/W2480512767","https://openalex.org/W2572974507","https://openalex.org/W2583380383","https://openalex.org/W2619303176","https://openalex.org/W2746876167","https://openalex.org/W2780835704","https://openalex.org/W2783065791","https://openalex.org/W2795389302","https://openalex.org/W2889046187","https://openalex.org/W2905286581","https://openalex.org/W2911270075","https://openalex.org/W2942156750","https://openalex.org/W2945106981","https://openalex.org/W2951547513","https://openalex.org/W2969948171","https://openalex.org/W2999955818","https://openalex.org/W3000389955","https://openalex.org/W3037611409","https://openalex.org/W3046422130","https://openalex.org/W3081984099","https://openalex.org/W3089638510","https://openalex.org/W3102017969","https://openalex.org/W3133808112","https://openalex.org/W3138586239","https://openalex.org/W3176469061","https://openalex.org/W3185870668","https://openalex.org/W3202736158","https://openalex.org/W4213034787","https://openalex.org/W4220968144","https://openalex.org/W4221084085","https://openalex.org/W4300413218","https://openalex.org/W4305072482","https://openalex.org/W4311486926","https://openalex.org/W4311487045","https://openalex.org/W4320485674","https://openalex.org/W4378389920","https://openalex.org/W4384340422","https://openalex.org/W4390975177","https://openalex.org/W4391566608","https://openalex.org/W4394946282","https://openalex.org/W4395662245"],"related_works":["https://openalex.org/W2084086966","https://openalex.org/W2023861399","https://openalex.org/W2730915376","https://openalex.org/W2626306547","https://openalex.org/W2021396365","https://openalex.org/W2394134009","https://openalex.org/W2119515433","https://openalex.org/W3041553740","https://openalex.org/W1665280361","https://openalex.org/W1505280828"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,10,51,58,114,160,187,227],"novel":[4,115],"approach":[5],"to":[6,45,71,123,181,199],"the":[7,26,40,73,81,87,98,101,125,134,140,166,184,204,216],"design":[8],"of":[9,53,94,100,139,176,194],"discrete-time":[11],"Fractional-Order":[12,63,144],"Sliding":[13],"Mode":[14,65,146],"Control":[15,43,66,147],"(FSMC)":[16],"system":[17,34],"for":[18,33,110,183,203,234],"Single":[19,21],"Input":[20],"Output":[22],"(SISO)":[23],"applications,":[24],"utilising":[25],"Autoregressive":[27],"with":[28,86,172],"exogenous":[29],"input":[30],"(ARX)":[31],"method":[32],"modelling.":[35],"The":[36,92,137,212],"proposed":[37,141,217],"methodology":[38],"emphasises":[39],"Prescribed":[41,142],"Performance":[42,143],"(PPC)":[44],"ensure":[46],"minimal":[47],"tracking":[48,54,74,174,208],"errors":[49,55,175],"through":[50,151],"transformation":[52],"based":[56],"on":[57,159],"specified":[59],"performance":[60,209],"function.":[61],"A":[62],"Quasi-Sliding":[64,145],"(FQSMC)":[67],"is":[68,121,149],"subsequently":[69],"developed":[70],"maintain":[72],"error":[75],"within":[76],"predetermined":[77],"bounds,":[78],"effectively":[79,219],"addressing":[80],"chattering":[82,221],"phenomenon":[83],"commonly":[84],"associated":[85],"traditional":[88,170],"sliding":[89],"mode":[90],"control.":[91],"integration":[93],"fractional":[95],"calculus":[96],"enhances":[97],"smoothness":[99],"output":[102],"while":[103,225],"ensuring":[104,206],"accurate":[105],"tracking,":[106],"making":[107],"it":[108],"ideal":[109],"real-world":[111],"applications.":[112],"Additionally,":[113],"Linear":[116],"Matrix":[117],"Inequality":[118],"(LMI)":[119],"observer":[120],"introduced":[122],"bolster":[124],"system's":[126],"resilience":[127],"against":[128],"uncertainties":[129],"and":[130,155,186,210,245],"disturbances":[131],"without":[132],"complicating":[133],"computational":[135],"process.":[136],"effectiveness":[138],"(PP-FQSMC)":[148],"validated":[150],"extensive":[152],"MATLAB":[153],"simulations":[154],"experimental":[156],"studies":[157],"conducted":[158],"Tank":[161],"system.":[162],"Results":[163],"demonstrate":[164],"that":[165,215],"PP-FQSMC":[167],"significantly":[168],"outperforms":[169],"methods,":[171],"maximum":[173],"1.6":[177],"\u00d7":[178,196,201],"10\u22124":[179,202],"compared":[180,198],"0.2":[182],"PP-QSMC":[185],"Root":[188],"Mean":[189],"Square":[190],"Tracking":[191],"Error":[192],"(RMSTE)":[193],"1.3":[195],"10\u22123":[197],"1.2":[200],"PP-QSMC,":[205],"strong":[207],"stability.":[211],"findings":[213],"indicate":[214],"controller":[218],"mitigates":[220],"in":[222,237],"control":[223],"signals":[224],"maintaining":[226],"smooth":[228],"output.":[229],"It":[230],"showcases":[231],"its":[232],"potential":[233],"practical":[235],"applications":[236],"environments":[238],"characterised":[239],"by":[240],"model":[241],"inaccuracies,":[242],"time":[243],"delays,":[244],"external":[246],"disturbances.":[247]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2025-10-10T00:00:00"}
