{"id":"https://openalex.org/W3048610084","doi":"https://doi.org/10.1109/access.2020.3016063","title":"Fractional Order PID Parameter Tuning for Solar Collector System Based on Frequency Domain Analysis","display_name":"Fractional Order PID Parameter Tuning for Solar Collector System Based on Frequency Domain Analysis","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3048610084","doi":"https://doi.org/10.1109/access.2020.3016063","mag":"3048610084"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3016063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3016063","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.2020.3016063","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051110858","display_name":"Fanwei Meng","orcid":"https://orcid.org/0000-0001-6852-7173"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanwei Meng","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0001-6852-7173","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100722660","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-8767-3851"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Liu","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-8767-3851","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076347894","display_name":"Aiping Pang","orcid":"https://orcid.org/0000-0002-0795-3782"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aiping Pang","raw_affiliation_strings":["School of Electrical Engineering, Guizhou University, Guiyang, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-0795-3782","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Guizhou University, Guiyang, China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101546170","display_name":"Kai Liu","orcid":"https://orcid.org/0000-0002-5594-6798"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Liu","raw_affiliation_strings":["School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","ORCiD"],"raw_orcid":"https://orcid.org/0000-0002-5594-6798","affiliations":[{"raw_affiliation_string":"School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.4577,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.81782887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"148980","last_page":"148988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9994999766349792,"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":0.9994999766349792,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9972000122070312,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9930999875068665,"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":0.748065710067749},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7422201633453369},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6546586751937866},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6261911392211914},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.57365882396698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5691453814506531},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5505594611167908},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36659950017929077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2879207134246826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23966720700263977},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.16834038496017456},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14074257016181946},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.13666465878486633},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12668702006340027},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09601730108261108},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07734942436218262}],"concepts":[{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.748065710067749},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7422201633453369},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6546586751937866},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6261911392211914},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.57365882396698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5691453814506531},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5505594611167908},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36659950017929077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2879207134246826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23966720700263977},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.16834038496017456},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14074257016181946},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.13666465878486633},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12668702006340027},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09601730108261108},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07734942436218262},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3016063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3016063","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:493e5911c51545c2a958fc51ffaf1498","is_oa":true,"landing_page_url":"https://doaj.org/article/493e5911c51545c2a958fc51ffaf1498","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 8, Pp 148980-148988 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3016063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3016063","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G7027721529","display_name":null,"funder_award_id":"61903072","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7969043567","display_name":null,"funder_award_id":"F2019501012","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G8666366884","display_name":null,"funder_award_id":"N182304010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1574133352","https://openalex.org/W1968753645","https://openalex.org/W1969313263","https://openalex.org/W1974034391","https://openalex.org/W2001194386","https://openalex.org/W2003581264","https://openalex.org/W2030169915","https://openalex.org/W2051098741","https://openalex.org/W2070559453","https://openalex.org/W2075577126","https://openalex.org/W2078384894","https://openalex.org/W2081873429","https://openalex.org/W2087232315","https://openalex.org/W2096166399","https://openalex.org/W2109657764","https://openalex.org/W2126535736","https://openalex.org/W2149754660","https://openalex.org/W2158857395","https://openalex.org/W2166486522","https://openalex.org/W2477921776","https://openalex.org/W2758378811","https://openalex.org/W2768608708","https://openalex.org/W2787959293","https://openalex.org/W2802292836","https://openalex.org/W6676358475"],"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/W2922503265","https://openalex.org/W2147480136","https://openalex.org/W2153629532","https://openalex.org/W2393592727","https://openalex.org/W2368034024"],"abstract_inverted_index":{"The":[0],"control":[1,30,39,75,159],"aim":[2],"of":[3,48,91,140,157,161],"parabolic":[4],"distributed":[5],"solar":[6,22],"collector":[7],"(PDSC)":[8],"is":[9,146],"to":[10,37,81,126,133,143],"make":[11],"the":[12,16,21,49,55,61,66,70,74,95,100,138,149,158],"heat":[13],"generated":[14],"follow":[15],"expected":[17],"reference":[18],"value":[19],"when":[20],"radiation":[23],"varies":[24],"unevenly.":[25],"This":[26],"article":[27,87],"proposes":[28],"a":[29,153],"strategy":[31,142],"based":[32,53,103],"on":[33,54,104,152],"fractional-order":[34],"PID":[35],"(FOPID)":[36],"achieve":[38],"objectives.":[40],"Four":[41],"non-linear":[42],"constraints":[43],"and":[44,120,173],"an":[45],"objective":[46,67,101],"function":[47,102],"controller":[50],"are":[51],"proposed":[52,141],"frequency":[56,171],"domain.":[57],"Most":[58],"studies":[59,151],"regard":[60],"constraint":[62,96],"measuring":[63,97],"stability":[64],"as":[65,99],"function,":[68],"while":[69],"real":[71],"difficulty":[72],"for":[73],"system":[76],"design":[77,145],"should":[78],"be":[79],"how":[80],"obtain":[82],"better":[83],"robustness.":[84],"Therefore,":[85],"this":[86],"determines":[88],"five":[89],"parameters":[90],"FOPID":[92],"by":[93,148],"selecting":[94],"robustness":[98],"Particle":[105],"swarm":[106],"optimization":[107],"(PSO).":[108],"Besides,":[109],"three":[110],"non-parametric":[111],"statistical":[112],"tests,":[113],"including":[114],"Friedman":[115,117],"ranks,":[116,122],"Aligned":[118],"ranks":[119],"Quade":[121],"have":[123],"been":[124],"adopted":[125],"compare":[127],"PSO":[128],"with":[129],"other":[130],"evolutionary":[131],"algorithms":[132],"demonstrate":[134],"its":[135],"advantage.":[136],"Finally,":[137],"superiority":[139],"previous":[144],"demonstrated":[147],"simulation":[150],"PDSC":[154],"in":[155],"terms":[156],"performance":[160],"step":[162],"response,":[163],"static":[164],"gain":[165],"variation,":[166,169],"time":[167],"constant":[168],"high":[170],"noise":[172],"output":[174],"interference.":[175]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}