{"id":"https://openalex.org/W2887142978","doi":"https://doi.org/10.23919/acc.2018.8431698","title":"Mixed Polynomial Chaos and Worst-Case Synthesis Approach to Robust Observer based Linear Quadratic Regulation","display_name":"Mixed Polynomial Chaos and Worst-Case Synthesis Approach to Robust Observer based Linear Quadratic Regulation","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2887142978","doi":"https://doi.org/10.23919/acc.2018.8431698","mag":"2887142978"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2018.8431698","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5011765460","display_name":"Yiming Wan","orcid":"https://orcid.org/0000-0002-1315-9120"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiming Wan","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083684552","display_name":"Richard D. Braatz","orcid":"https://orcid.org/0000-0003-4304-3484"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard D. Braatz","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":2.4401,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86861676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"6798","last_page":"6803"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.991599977016449,"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/T11236","display_name":"Control Systems and Identification","score":0.9842000007629395,"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/polynomial-chaos","display_name":"Polynomial chaos","score":0.84511399269104},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.712867021560669},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.656521737575531},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6017916798591614},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5786381363868713},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5527262091636658},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.552028477191925},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46923619508743286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4551948308944702},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4493161737918854},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43484634160995483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4314461648464203},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40008607506752014},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2903190553188324},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14858156442642212},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.12029775977134705}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.84511399269104},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.712867021560669},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.656521737575531},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6017916798591614},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5786381363868713},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5527262091636658},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.552028477191925},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46923619508743286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4551948308944702},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4493161737918854},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43484634160995483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4314461648464203},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40008607506752014},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2903190553188324},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14858156442642212},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.12029775977134705},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2018.8431698","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2018.8431698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Annual American Control Conference (ACC)","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":22,"referenced_works":["https://openalex.org/W1979894627","https://openalex.org/W2004588774","https://openalex.org/W2013621063","https://openalex.org/W2018159038","https://openalex.org/W2020036842","https://openalex.org/W2055081012","https://openalex.org/W2060016034","https://openalex.org/W2062845216","https://openalex.org/W2095590702","https://openalex.org/W2139798157","https://openalex.org/W2156513118","https://openalex.org/W2159153568","https://openalex.org/W2316086337","https://openalex.org/W2318048366","https://openalex.org/W2337248652","https://openalex.org/W2735484855","https://openalex.org/W2735833327","https://openalex.org/W2736096494","https://openalex.org/W2758458133","https://openalex.org/W2765529283","https://openalex.org/W2783207382","https://openalex.org/W6740999947"],"related_works":["https://openalex.org/W339217817","https://openalex.org/W2797263970","https://openalex.org/W2891782306","https://openalex.org/W2287391662","https://openalex.org/W4381886630","https://openalex.org/W2142056387","https://openalex.org/W2971126152","https://openalex.org/W2789381754","https://openalex.org/W2519438323","https://openalex.org/W2155614410"],"abstract_inverted_index":{"This":[0,72,105],"paper":[1,73],"investigates":[2],"robust":[3],"observer-based":[4],"linear":[5,10,24],"quadratic":[6,25],"regulation":[7],"for":[8],"uncertain":[9],"systems":[11],"with":[12],"probabilistic":[13],"parametric":[14],"uncertainties.":[15],"The":[16],"control":[17,35],"objective":[18],"is":[19,30],"to":[20,32],"minimize":[21],"the":[22,34,61,75,81,85,92,102,112,115,127,134,137],"averaged":[23,128],"cost.":[26],"Polynomial":[27],"chaos":[28,63],"theory":[29],"used":[31],"formulate":[33],"synthesis":[36,140],"in":[37,60],"terms":[38,59],"of":[39,58,91,114,136],"a":[40,55,121],"high-dimensional":[41],"deterministic":[42],"expanded":[43,82,116],"system":[44,83],"that":[45],"characterizes":[46],"stochastic":[47],"state":[48],"uncertainty":[49],"propagation.":[50],"Errors":[51],"introduced":[52],"by":[53,68,79],"using":[54],"finite":[56],"number":[57],"polynomial":[62],"expansions":[64],"(PCEs)":[65],"are":[66],"neglected":[67],"most":[69],"existing":[70],"literature.":[71],"reduces":[74],"PCE":[76],"approximation":[77,93],"errors":[78,113],"deriving":[80],"from":[84],"stabilized":[86],"closed-loop":[87],"dynamics.":[88],"Further":[89],"analysis":[90],"error":[94],"dynamics":[95],"motivates":[96],"combining":[97],"worst-case":[98,122],"robustness":[99],"conditions":[100],"into":[101],"PCE-based":[103],"synthesis.":[104],"mixed":[106,139],"approach":[107],"not":[108],"only":[109],"explicitly":[110],"handles":[111],"system,":[117],"but":[118],"also":[119],"guarantees":[120],"performance":[123],"bound":[124],"while":[125],"optimizing":[126],"performance.":[129],"Numerical":[130],"simulation":[131],"comparisons":[132],"illustrate":[133],"efficacy":[135],"proposed":[138],"approach.":[141]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}