{"id":"https://openalex.org/W3214584399","doi":"https://doi.org/10.1109/access.2021.3126424","title":"Iterative LMI Approach to Robust Hierarchical Control of Homogenous Linear Multi-Agent Systems Subject to Polytopic Uncertainty and External Disturbance","display_name":"Iterative LMI Approach to Robust Hierarchical Control of Homogenous Linear Multi-Agent Systems Subject to Polytopic Uncertainty and External Disturbance","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3214584399","doi":"https://doi.org/10.1109/access.2021.3126424","mag":"3214584399"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3126424","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3126424","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2021.3126424","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090302690","display_name":"Tuynh Van Pham","orcid":"https://orcid.org/0000-0002-1763-2317"},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Tuynh Van Pham","raw_affiliation_strings":["Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-1763-2317","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand","institution_ids":["https://openalex.org/I158708052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027482001","display_name":"\u0110\u00ecnh H\u00f2a Nguy\u1ec5n","orcid":"https://orcid.org/0000-0003-3318-737X"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Dinh Hoa Nguyen","raw_affiliation_strings":["International Institute for Carbon-Neutral Energy Research, and Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan"],"raw_orcid":"https://orcid.org/0000-0003-3318-737X","affiliations":[{"raw_affiliation_string":"International Institute for Carbon-Neutral Energy Research, and Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042128016","display_name":"David Banjerdpongchai","orcid":"https://orcid.org/0000-0002-6717-7500"},"institutions":[{"id":"https://openalex.org/I158708052","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58","country_code":"TH","type":"education","lineage":["https://openalex.org/I158708052"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"David Banjerdpongchai","raw_affiliation_strings":["Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand. (e-mail: bdavid@chula.ac.th)","Department of Electrical Engineering, Faculty of Engineering, Intelligent Control Automation of Process Systems Research Unit, Chulalongkorn University, Bangkok, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-6717-7500","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand. (e-mail: bdavid@chula.ac.th)","institution_ids":["https://openalex.org/I158708052"]},{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Intelligent Control Automation of Process Systems Research Unit, Chulalongkorn University, Bangkok, Thailand","institution_ids":["https://openalex.org/I158708052"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090302690"],"corresponding_institution_ids":["https://openalex.org/I158708052"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3203,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62862889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"9","issue":null,"first_page":"151221","last_page":"151234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9993000030517578,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9980000257492065,"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":0.779025673866272},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5840559601783752},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.566102147102356},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5351788401603699},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5336374044418335},{"id":"https://openalex.org/keywords/attenuation","display_name":"Attenuation","score":0.5199707746505737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4815847873687744},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46187496185302734},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45948466658592224},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.42705202102661133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37745171785354614},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3563370704650879},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17762219905853271},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14098304510116577}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.779025673866272},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5840559601783752},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.566102147102356},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5351788401603699},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5336374044418335},{"id":"https://openalex.org/C184652730","wikidata":"https://www.wikidata.org/wiki/Q2357982","display_name":"Attenuation","level":2,"score":0.5199707746505737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4815847873687744},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46187496185302734},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45948466658592224},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.42705202102661133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37745171785354614},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3563370704650879},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17762219905853271},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14098304510116577},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3126424","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3126424","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2eb816136bff4a1ea4e1078a099c6014","is_oa":true,"landing_page_url":"https://doaj.org/article/2eb816136bff4a1ea4e1078a099c6014","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":"IEEE Access, Vol 9, Pp 151221-151234 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3126424","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3126424","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321557","display_name":"Chulalongkorn University","ror":"https://ror.org/028wp3y58"},{"id":"https://openalex.org/F4320322716","display_name":"Japan International Cooperation Agency","ror":"https://ror.org/022es3t03"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W795690309","https://openalex.org/W1185296500","https://openalex.org/W1534392934","https://openalex.org/W1886446836","https://openalex.org/W1965503683","https://openalex.org/W1991138407","https://openalex.org/W1995453111","https://openalex.org/W2007672844","https://openalex.org/W2033095461","https://openalex.org/W2036854665","https://openalex.org/W2059597614","https://openalex.org/W2065548314","https://openalex.org/W2074129427","https://openalex.org/W2082302138","https://openalex.org/W2091464371","https://openalex.org/W2110331379","https://openalex.org/W2131603290","https://openalex.org/W2146876570","https://openalex.org/W2159168576","https://openalex.org/W2161507975","https://openalex.org/W2162410018","https://openalex.org/W2170057979","https://openalex.org/W2230652337","https://openalex.org/W2461556483","https://openalex.org/W2916678574","https://openalex.org/W3206831969","https://openalex.org/W3210839039","https://openalex.org/W6719122095"],"related_works":["https://openalex.org/W2054171707","https://openalex.org/W2131905798","https://openalex.org/W2291706033","https://openalex.org/W1716629940","https://openalex.org/W2163959792","https://openalex.org/W2131901345","https://openalex.org/W2351497412","https://openalex.org/W4237975505","https://openalex.org/W9759607","https://openalex.org/W1799738493"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"design":[3,89],"of":[4,22,90,98,123,133,162,184],"robust":[5,87,165,174,179],"hierarchical":[6],"control":[7,34,88,166,175,180],"for":[8],"linear":[9,29,151],"multi-agent":[10],"systems":[11],"(MAS)":[12],"subject":[13],"to":[14,70,84,147,158],"polytopic":[15],"uncertainty":[16,191],"and":[17,43,75,93,102,116,188],"external":[18],"disturbance.":[19],"Each":[20,55],"agent":[21,56],"MAS":[23],"is":[24,169],"described":[25],"by":[26],"a":[27,44,80,128],"homogeneous":[28],"time-invariant":[30],"dynamic":[31],"model.":[32],"The":[33,121],"structure":[35],"has":[36],"two":[37],"layers,":[38],"namely,":[39],"an":[40,60,139],"upper":[41,68],"layer":[42,69],"lower":[45,53],"layer.":[46,54],"Local":[47],"actions":[48],"are":[49,119,156],"executed":[50],"in":[51,66,96,182],"the":[52,67,72,86,91,110,124,134,144,160,163],"shares":[57],"information":[58],"through":[59],"undirected":[61],"graph":[62],"with":[63],"neighboring":[64],"agents":[65],"achieve":[71],"global":[73,94],"stabilization":[74],"disturbance":[76,106,186],"attenuation.":[77,107],"We":[78,108,137],"employ":[79],"parameter-dependent":[81],"Lyapunov":[82,117,135],"function":[83],"formulate":[85],"local":[92],"feedback":[95],"terms":[97,183],"bilinear":[99],"matrix":[100,152],"inequalities":[101],"incorporate":[103],"constraints":[104],"on":[105,127,143],"propose":[109],"sufficient":[111],"condition,":[112],"where":[113],"system":[114],"matrices":[115],"variables":[118],"separated.":[120],"parameterization":[122],"controller":[125],"depends":[126],"common":[129],"slack":[130],"variable":[131],"instead":[132],"matrices.":[136],"develop":[138],"iterative":[140],"approach":[141],"based":[142],"coordinated":[145],"optimization":[146],"solve":[148],"sub-problems":[149],"over":[150],"inequalities.":[153],"Numerical":[154],"examples":[155],"provided":[157],"demonstrate":[159],"effectiveness":[161],"proposed":[164,173],"designs.":[167],"It":[168],"shown":[170],"that":[171],"our":[172],"designs":[176,181],"outperform":[177],"other":[178],"achievable":[185],"attenuation":[187],"maximum":[189],"admissible":[190],"bound.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}