{"id":"https://openalex.org/W3135066012","doi":"https://doi.org/10.1155/2021/6686724","title":"Robust Iterative Learning Control for 2\u2010D Singular Fornasini\u2013Marchesini Systems with Iteration\u2010Varying Boundary States","display_name":"Robust Iterative Learning Control for 2\u2010D Singular Fornasini\u2013Marchesini Systems with Iteration\u2010Varying Boundary States","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135066012","doi":"https://doi.org/10.1155/2021/6686724","mag":"3135066012"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6686724","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6686724","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6686724.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/6686724.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108669535","display_name":"Deming Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deming Xu","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041110472","display_name":"Kai Wan","orcid":"https://orcid.org/0000-0003-4693-416X"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Wan","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China"],"raw_orcid":"https://orcid.org/0000-0003-4693-416X","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041110472"],"corresponding_institution_ids":["https://openalex.org/I93477617"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02309397,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems","score":1.0,"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/T11749","display_name":"Iterative Learning Control Systems","score":1.0,"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/T13644","display_name":"Control Systems in Engineering","score":0.9569000005722046,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.9496999979019165,"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/iterative-learning-control","display_name":"Iterative learning control","score":0.8456876277923584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6496834754943848},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5852539539337158},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5190759301185608},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4786292612552643},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.44838783144950867},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4473589062690735},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.41765254735946655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3093622624874115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2410532832145691},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18738654255867004},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17555907368659973},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16100144386291504},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07673430442810059}],"concepts":[{"id":"https://openalex.org/C117619785","wikidata":"https://www.wikidata.org/wiki/Q6094414","display_name":"Iterative learning control","level":3,"score":0.8456876277923584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6496834754943848},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5852539539337158},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5190759301185608},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4786292612552643},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.44838783144950867},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4473589062690735},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.41765254735946655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3093622624874115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2410532832145691},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18738654255867004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17555907368659973},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16100144386291504},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07673430442810059},{"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:10.1155/2021/6686724","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6686724","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6686724.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6686724","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2021/6686724.xml","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":"","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:3b2795f848cb44609548ca5b2f1c1a14","is_oa":true,"landing_page_url":"https://doaj.org/article/3b2795f848cb44609548ca5b2f1c1a14","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6686724","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6686724","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6686724.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G1110000703","display_name":null,"funder_award_id":"2018A030313711","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G29114180","display_name":null,"funder_award_id":"2020JB011","funder_id":"https://openalex.org/F4320323848","funder_display_name":"Huizhou University"},{"id":"https://openalex.org/G3075027394","display_name":null,"funder_award_id":"2020JB017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4484875461","display_name":null,"funder_award_id":"2020JB017","funder_id":"https://openalex.org/F4320323848","funder_display_name":"Huizhou University"},{"id":"https://openalex.org/G8101876001","display_name":null,"funder_award_id":"61573385","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8951449517","display_name":null,"funder_award_id":"2020SD0406034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320323848","display_name":"Huizhou University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135066012.pdf","grobid_xml":"https://content.openalex.org/works/W3135066012.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W70556244","https://openalex.org/W1992003166","https://openalex.org/W1997162477","https://openalex.org/W2010744697","https://openalex.org/W2012534105","https://openalex.org/W2041242313","https://openalex.org/W2043836015","https://openalex.org/W2071636583","https://openalex.org/W2104366136","https://openalex.org/W2153077024","https://openalex.org/W2154529221","https://openalex.org/W2186627900","https://openalex.org/W2325676846","https://openalex.org/W2340914878","https://openalex.org/W2341484606","https://openalex.org/W2493992510","https://openalex.org/W2548182412","https://openalex.org/W2737205074","https://openalex.org/W2761678722","https://openalex.org/W2783386542","https://openalex.org/W2794904461","https://openalex.org/W2895050852","https://openalex.org/W2899657942","https://openalex.org/W2919564738","https://openalex.org/W2922446740","https://openalex.org/W2943894503","https://openalex.org/W2972106336","https://openalex.org/W2982102386","https://openalex.org/W2998531713","https://openalex.org/W3028584851","https://openalex.org/W4242827397","https://openalex.org/W4298278858","https://openalex.org/W6703992678"],"related_works":["https://openalex.org/W2379960361","https://openalex.org/W2133373519","https://openalex.org/W2478562663","https://openalex.org/W2104608934","https://openalex.org/W1498036222","https://openalex.org/W2465904370","https://openalex.org/W2107729799","https://openalex.org/W4210894462","https://openalex.org/W1972930307","https://openalex.org/W2365680665"],"abstract_inverted_index":{"This":[0],"study":[1],"first":[2],"investigates":[3],"robust":[4],"iterative":[5],"learning":[6],"control":[7],"(ILC)":[8],"issue":[9],"for":[10],"a":[11,60],"class":[12],"of":[13,38,65,73,81,130],"two\u2010dimensional":[14],"linear":[15,101],"discrete":[16],"singular":[17,29],"Fornasini\u2013Marchesini":[18],"systems":[19],"(2\u2010D":[20],"LDSFM)":[21],"under":[22],"iteration\u2010varying":[23],"boundary":[24,74,79,86],"states.":[25,75],"Initially,":[26],"using":[27,99],"the":[28,52,63,70,78,126,131],"value":[30],"decomposition":[31,36],"theory,":[32],"an":[33],"equivalent":[34],"dynamical":[35],"form":[37],"2\u2010D":[39,82,91,100,108],"LDSFM":[40,83,109],"is":[41,48,67,117,122],"derived.":[42],"A":[43,119],"simple":[44],"P\u2010type":[45],"ILC":[46,53,133],"law":[47],"proposed":[49],"such":[50],"that":[51],"tracking":[54,89],"error":[55],"can":[56,95],"be":[57,96],"driven":[58],"into":[59],"residual":[61],"range,":[62],"bound":[64,71],"which":[66],"relevant":[68],"to":[69,107,115,124],"parameters":[72],"Specially,":[76],"while":[77],"states":[80],"satisfy":[84],"iteration\u2010invariant":[85],"states,":[87],"accurate":[88],"on":[90],"desired":[92],"surface":[93],"trajectory":[94],"accomplished":[97],"by":[98],"inequality":[102],"theory.":[103],"In":[104],"addition,":[105],"extension":[106],"without":[110],"direct":[111],"transmission":[112],"from":[113],"inputs":[114],"outputs":[116],"presented.":[118],"numerical":[120],"example":[121],"used":[123],"illustrate":[125],"effectiveness":[127],"and":[128],"feasibility":[129],"designed":[132],"law.":[134]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}