{"id":"https://openalex.org/W3046288921","doi":"https://doi.org/10.23919/ecc51009.2020.9143807","title":"Tradeoff between Delay Margin and Asymptotic Tracking by PID Control","display_name":"Tradeoff between Delay Margin and Asymptotic Tracking by PID Control","publication_year":2020,"publication_date":"2020-05-01","ids":{"openalex":"https://openalex.org/W3046288921","doi":"https://doi.org/10.23919/ecc51009.2020.9143807","mag":"3046288921"},"language":"en","primary_location":{"id":"doi:10.23919/ecc51009.2020.9143807","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc51009.2020.9143807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 European Control Conference (ECC)","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/A5032819369","display_name":"Jianqi Chen","orcid":"https://orcid.org/0000-0003-0031-8417"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Jianqi Chen","raw_affiliation_strings":["City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100428821","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-3171-1887"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032819369"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":0.1471,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44227667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"374","last_page":"379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9991000294685364,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9991000294685364,"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":0.9984999895095825,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9973000288009644,"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/pid-controller","display_name":"PID controller","score":0.8790788054466248},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8126143217086792},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7201273441314697},{"id":"https://openalex.org/keywords/phase-margin","display_name":"Phase margin","score":0.5601638555526733},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5103456377983093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5103013515472412},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.4447147846221924},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.4359418749809265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35043245553970337},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.20523583889007568},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1634395718574524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15404748916625977},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15184521675109863},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.10146522521972656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08815565705299377}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.8790788054466248},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8126143217086792},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7201273441314697},{"id":"https://openalex.org/C81455027","wikidata":"https://www.wikidata.org/wiki/Q7180955","display_name":"Phase margin","level":5,"score":0.5601638555526733},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5103456377983093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5103013515472412},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.4447147846221924},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.4359418749809265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35043245553970337},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.20523583889007568},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1634395718574524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15404748916625977},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15184521675109863},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.10146522521972656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08815565705299377},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C145366948","wikidata":"https://www.wikidata.org/wiki/Q178947","display_name":"Operational amplifier","level":4,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc51009.2020.9143807","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc51009.2020.9143807","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2002388147","https://openalex.org/W2131181168","https://openalex.org/W2039709469","https://openalex.org/W3096813701","https://openalex.org/W4244904831","https://openalex.org/W3166866416","https://openalex.org/W3049343211","https://openalex.org/W3005383895","https://openalex.org/W4312742097"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,23,40,46,53,64,69,85,92,112,121,127,133,151,158,193,195,199,201,209,223,229,240],"tradeoff":[4,70,210,231],"between":[5,211],"delay":[6,42,50,94,122,152,162,202,212],"robustness":[7,213],"and":[8,37,88,214,227,242],"tracking":[9,75,97,143,196,215],"performance":[10,76,98],"of":[11,29,49,79,91,161,217,245],"PID":[12,31,61,80,93,218,246],"controllers":[13,32,247],"in":[14,27,141,239,248],"stabilizing":[15],"systems":[16],"containing":[17],"uncertain,":[18],"variable":[19],"delays.":[20],"We":[21,100],"consider":[22],"first-order":[24],"unstable":[25],"system":[26,54],"one":[28],"which":[30,44,52,136,183],"are":[33],"most":[34],"commonly":[35],"used,":[36],"then":[38],"study":[39],"corresponding":[41],"margin":[43,95,163,203],"means":[45],"maximal":[47],"range":[48],"within":[51],"can":[55,185,204],"be":[56,186,205],"robustly":[57],"stabilized":[58],"by":[59],"a":[60,74,138,146,168,173,180],"controller.":[62],"On":[63],"other":[65],"hand,":[66],"to":[67,83,119,126,149,166],"characterize":[68],"concerned,":[71,232],"we":[72,109,130,155,190],"impose":[73],"assumption":[77],"simultaneously":[78],"controllers.":[81,219],"How":[82],"seek":[84],"analytical":[86,243],"characterization":[87],"exact":[89,159],"computation":[90,160],"under":[96],"consideration?":[99],"answered":[101],"this":[102],"question.":[103],"Our":[104],"contribution":[105],"is":[106,164],"fourfold.":[107],"First,":[108],"show":[110,131,156,191],"that":[111,132,157,171,178,192],"derivative":[113,128],"control":[114,135],"provides":[115],"an":[116],"active":[117],"effect":[118],"enlarge":[120],"margin.":[123,153],"Second,":[124],"opposite":[125],"control,":[129],"integral":[134],"plays":[137],"dominated":[139],"role":[140],"maintaining":[142],"accuracy":[144,197,216],"contributes":[145],"negative":[147],"action":[148],"increase":[150],"Third,":[154],"equivalent":[165],"solving":[167],"unimodal":[169],"problem,":[170],"is,":[172,198],"univariate":[174],"convex":[175],"optimization":[176],"problem":[177],"admits":[179],"unique":[181],"maximum,":[182],"hence":[184],"computed":[187],"efficiently.":[188],"Finally,":[189],"higher":[194],"less":[200],"achieved,":[206],"explaining":[207],"well":[208],"Except":[220],"for":[221],"answering":[222],"above":[224],"fundamental":[225],"question":[226],"demonstrating":[228],"intrinsic":[230],"moreover,":[233],"these":[234],"results":[235],"lend":[236],"useful":[237],"guidelines":[238],"tuning":[241],"design":[244],"practical":[249],"implementations.":[250]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}