{"id":"https://openalex.org/W4405907861","doi":"https://doi.org/10.1109/lcsys.2024.3524056","title":"PID Control of MIMO Nonlinear Uncertain Systems With Low Relative Degrees","display_name":"PID Control of MIMO Nonlinear Uncertain Systems With Low Relative Degrees","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4405907861","doi":"https://doi.org/10.1109/lcsys.2024.3524056"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3524056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3524056","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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":null,"display_name":"Jingru Zhu","orcid":"https://orcid.org/0009-0002-6627-6678"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingru Zhu","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","Academy of Mathematics and Systems Science, Key Laboratory of Systems and Control, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0002-6627-6678","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Key Laboratory of Systems and Control, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101869459","display_name":"Cheng Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Zhao","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","Academy of Mathematics and Systems Science, Key Laboratory of Systems and Control, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2973-3553","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Key Laboratory of Systems and Control, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7557,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69086355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"3213","last_page":"3218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.944599986076355,"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/T11081","display_name":"Advanced Control Systems Design","score":0.944599986076355,"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":0.8447827696800232},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7499287128448486},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6902090311050415},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6728161573410034},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43021491169929504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3852154612541199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3672485947608948},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3350293040275574},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22922873497009277},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21369782090187073},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1016453206539154},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.09840011596679688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08638882637023926}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.8447827696800232},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7499287128448486},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6902090311050415},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6728161573410034},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43021491169929504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3852154612541199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3672485947608948},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3350293040275574},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22922873497009277},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21369782090187073},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1016453206539154},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.09840011596679688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08638882637023926},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"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":1,"locations":[{"id":"doi:10.1109/lcsys.2024.3524056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3524056","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G2519258023","display_name":null,"funder_award_id":"12288101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4504195503","display_name":null,"funder_award_id":"62303451","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4924973332","display_name":null,"funder_award_id":"U22B6001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G668091239","display_name":null,"funder_award_id":"4232059","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G6713933699","display_name":null,"funder_award_id":"T2293770","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/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1911936191","https://openalex.org/W2028269967","https://openalex.org/W2029700848","https://openalex.org/W2095062552","https://openalex.org/W2135493101","https://openalex.org/W2142350423","https://openalex.org/W2160882803","https://openalex.org/W2578154675","https://openalex.org/W2944206801","https://openalex.org/W3021808124","https://openalex.org/W3093266845","https://openalex.org/W3173943244","https://openalex.org/W3215782262","https://openalex.org/W4249373963","https://openalex.org/W4292872153","https://openalex.org/W4315488757","https://openalex.org/W4322576871","https://openalex.org/W4361990718","https://openalex.org/W6694766787"],"related_works":["https://openalex.org/W2002388147","https://openalex.org/W3098928304","https://openalex.org/W2394883510","https://openalex.org/W2150958483","https://openalex.org/W2165013373","https://openalex.org/W2121097709","https://openalex.org/W2922503265","https://openalex.org/W4320922540","https://openalex.org/W82747921","https://openalex.org/W1989195983"],"abstract_inverted_index":{"This":[0],"letter":[1],"studies":[2],"control":[3],"problems":[4],"for":[5],"a":[6,42],"class":[7],"of":[8,34,44,71,116,130,138],"multi-input":[9],"multi-output":[10],"(MIMO)":[11],"strongly":[12],"coupled":[13],"nonlinear":[14,57,114],"uncertain":[15,58,132],"systems":[16],"with":[17],"mixed":[18],"relative":[19],"degrees":[20],"one":[21],"and":[22,103,119,135],"two.":[23],"We":[24,89],"will":[25,61,90,143],"design":[26],"an":[27,86,101],"uncoupled":[28],"PID":[29,95,123],"controller,":[30],"where":[31],"each":[32],"component":[33,43],"the":[35,45,55,64,72,78,94,113,117,121,131,136,148],"input":[36],"vector":[37],"is":[38],"determined":[39],"only":[40],"by":[41],"system":[46,56,74,133],"output":[47,79],"regulation":[48,80],"error.":[49],"Under":[50],"some":[51,109],"suitable":[52],"conditions":[53],"on":[54,108],"functions,":[59],"we":[60],"show":[62],"that":[63,77,93,120],"proposed":[65],"controller":[66,124,139],"can":[67,97],"ensure":[68],"global":[69],"stability":[70],"closed-loop":[73],"while":[75],"guaranteeing":[76],"error":[81],"converges":[82],"to":[83,146],"zero":[84],"at":[85],"exponential":[87],"rate.":[88],"also":[91],"demonstrate":[92],"parameters":[96],"be":[98,144],"chosen":[99],"from":[100],"open":[102],"unbounded":[104],"set":[105],"constructed":[106],"based":[107],"prior":[110],"knowledge":[111],"regarding":[112],"functions":[115],"system,":[118],"designed":[122],"exhibits":[125],"two-sided":[126],"robustness":[127],"in":[128],"terms":[129],"structure":[134],"selection":[137],"parameters.":[140],"A":[141],"simulation":[142],"provided":[145],"verify":[147],"theoretical":[149],"findings.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
