{"id":"https://openalex.org/W2138960759","doi":"https://doi.org/10.1109/cdc.2008.4739341","title":"Experimental study of fractional order proportional integral (FOPI) controller for water level control","display_name":"Experimental study of fractional order proportional integral (FOPI) controller for water level control","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2138960759","doi":"https://doi.org/10.1109/cdc.2008.4739341","mag":"2138960759"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4739341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-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":"https://openalex.org/A5081966053","display_name":"Varsha Bhambhani","orcid":null},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Varsha Bhambhani","raw_affiliation_strings":["Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical & Computer Engineering, Utah State University, Logan, UT, USA","Dept. of Electr.&Comput. Eng., Utah State Univ., Logan, UT, USA"],"affiliations":[{"raw_affiliation_string":"Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical & Computer Engineering, Utah State University, Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]},{"raw_affiliation_string":"Dept. of Electr.&Comput. Eng., Utah State Univ., Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100715957","display_name":"YangQuan Chen","orcid":"https://orcid.org/0000-0002-7422-5988"},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"YangQuan Chen","raw_affiliation_strings":["Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical & Computer Engineering, Utah State University, Logan, UT, USA","Dept. of Electr.&Comput. Eng., Utah State Univ., Logan, UT, USA"],"affiliations":[{"raw_affiliation_string":"Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical & Computer Engineering, Utah State University, Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]},{"raw_affiliation_string":"Dept. of Electr.&Comput. Eng., Utah State Univ., Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081966053"],"corresponding_institution_ids":["https://openalex.org/I121980950"],"apc_list":null,"apc_paid":null,"fwci":5.7941,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95780537,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1791","last_page":"1796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9959999918937683,"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":0.9909999966621399,"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/setpoint","display_name":"Setpoint","score":0.8525626063346863},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.8291276693344116},{"id":"https://openalex.org/keywords/overshoot","display_name":"Overshoot (microwave communication)","score":0.7379657626152039},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.6544154286384583},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6478191018104553},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3780892491340637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.340695321559906},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.32020384073257446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3112066388130188},{"id":"https://openalex.org/keywords/temperature-control","display_name":"Temperature control","score":0.22288739681243896},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19426974654197693}],"concepts":[{"id":"https://openalex.org/C12302492","wikidata":"https://www.wikidata.org/wiki/Q1752097","display_name":"Setpoint","level":2,"score":0.8525626063346863},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8291276693344116},{"id":"https://openalex.org/C2780323453","wikidata":"https://www.wikidata.org/wiki/Q7113957","display_name":"Overshoot (microwave communication)","level":2,"score":0.7379657626152039},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.6544154286384583},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6478191018104553},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3780892491340637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.340695321559906},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.32020384073257446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3112066388130188},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"score":0.22288739681243896},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19426974654197693},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/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/cdc.2008.4739341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.649.3423","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.649.3423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mechatronics.ece.usu.edu/yqchen/paper/08/08C20_cdc08-water-level.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","score":0.8500000238418579,"display_name":"Clean water and sanitation"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2036817185","https://openalex.org/W2095599191","https://openalex.org/W2125443829","https://openalex.org/W2137631306","https://openalex.org/W6678558406"],"related_works":["https://openalex.org/W2667392788","https://openalex.org/W172676736","https://openalex.org/W2169601993","https://openalex.org/W1971292522","https://openalex.org/W1995392526","https://openalex.org/W2016448237","https://openalex.org/W2004958935","https://openalex.org/W4293868274","https://openalex.org/W4386412075","https://openalex.org/W2698567378"],"abstract_inverted_index":{"Based":[0],"on":[1,24],"our":[2],"previously":[3],"developed":[4],"tuning":[5],"procedure":[6],"for":[7],"fractional":[8],"order":[9,84],"proportional":[10],"integral":[11],"controller":[12,48,70,105,109],"(FO-PI),":[13],"we":[14],"present":[15],"in":[16,52,63,87,94,110,118,121],"this":[17],"paper":[18],"an":[19],"extensive":[20],"comparative":[21],"experimental":[22,30,59],"study":[23,31],"coupled-tank":[25],"liquid":[26],"level":[27],"controls.":[28],"Our":[29],"consists":[32],"of":[33,40,44,89,112,123],"four":[34],"steps,":[35],"they":[36],"are":[37],"mathematical":[38],"modeling":[39],"the":[41],"plant,":[42],"identification":[43],"plant":[45,95],"parameters,":[46],"water-level":[47],"design":[49],"and":[50,57,61,77,97,115,129],"comparisons":[51,62],"Simulink":[53],"[software":[54],"(s/w)":[55],"mode]":[56],"final":[58],"verification":[60],"real-time":[64],"[hardware":[65],"(h/w)":[66],"mode].":[67],"The":[68],"FO-PI":[69,104],"is":[71,106],"compared":[72],"with":[73],"Ziegler":[74,79],"Nichol\u00bfs":[75,80],"(ZN)":[76],"Modified":[78],"(MZN)":[81],"conventional":[82],"integer":[83],"PI":[85],"controllers":[86],"terms":[88,111],"load":[90],"disturbance":[91],"rejection,":[92],"changes":[93],"dynamics":[96],"setpoint":[98],"tracking.":[99],"Experimental":[100],"results":[101],"confirmed":[102],"that":[103],"a":[107],"promising":[108],"percentage":[113],"overshoot":[114],"system":[116],"response":[117],"liquid-level":[119],"control":[120],"face":[122],"nonlinearities":[124],"introduced":[125],"by":[126],"pumps,":[127],"valves":[128],"sensors.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}