{"id":"https://openalex.org/W3113154797","doi":"https://doi.org/10.3390/sym12122068","title":"Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach","display_name":"Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach","publication_year":2020,"publication_date":"2020-12-12","ids":{"openalex":"https://openalex.org/W3113154797","doi":"https://doi.org/10.3390/sym12122068","mag":"3113154797"},"language":"en","primary_location":{"id":"doi:10.3390/sym12122068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12122068","pdf_url":"https://www.mdpi.com/2073-8994/12/12/2068/pdf?version=1608631155","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/12/2068/pdf?version=1608631155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078609994","display_name":"Badr M. Alshammari","orcid":"https://orcid.org/0000-0001-6819-3695"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Badr Alshammari","raw_affiliation_strings":["Department of Electrical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","Department of Electrical Engineering, College of Engineering, University of Ha'il, Ha'il 81481, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-6819-3695","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Electrical Engineering, College of Engineering, University of Ha'il, Ha'il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063452437","display_name":"Rim Ben Salah","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rim Ben Salah","raw_affiliation_strings":["Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022187232","display_name":"Omar Kahouli","orcid":"https://orcid.org/0000-0002-9307-7335"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Omar Kahouli","raw_affiliation_strings":["Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia","Department of Electronics Engineering, Community College, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","Department of Electronics Engineering, Community College, University of Ha'il, Ha'il 81481, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control &amp; Energies Management (CEM-Lab), National Engineering School of Sfax, Sfax 3038, Tunisia","institution_ids":[]},{"raw_affiliation_string":"Department of Electronics Engineering, Community College, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Electronics Engineering, Community College, University of Ha'il, Ha'il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087558944","display_name":"Lioua Kolsi","orcid":"https://orcid.org/0000-0003-4368-7458"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Lioua Kolsi","raw_affiliation_strings":["Department of Mechanical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","Department of Mechanical Engineering, College of Engineering, University of Ha'il, Ha'il 81481, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-4368-7458","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, College of Engineering, University of Ha\u2019il, Ha\u2019il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mechanical Engineering, College of Engineering, University of Ha'il, Ha'il 81481, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022187232"],"corresponding_institution_ids":["https://openalex.org/I4210088963"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6241,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.69122738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"12","issue":"12","first_page":"2068","last_page":"2068"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10305","display_name":"Power System Optimization and Stability","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10400","display_name":"Network Security and Intrusion Detection","score":0.9914000034332275,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.8243674039840698},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.6354851126670837},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6198753714561462},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5895252823829651},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5798460841178894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5304015874862671},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.5006463527679443},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4862048029899597},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41733431816101074},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3405378758907318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33981436491012573},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3310701251029968},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16878175735473633},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16863059997558594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07542243599891663}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8243674039840698},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.6354851126670837},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6198753714561462},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5895252823829651},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5798460841178894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5304015874862671},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.5006463527679443},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4862048029899597},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41733431816101074},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3405378758907318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33981436491012573},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3310701251029968},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16878175735473633},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16863059997558594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07542243599891663},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12122068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12122068","pdf_url":"https://www.mdpi.com/2073-8994/12/12/2068/pdf?version=1608631155","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3110abec585b47029017caad53c0adf2","is_oa":true,"landing_page_url":"https://doaj.org/article/3110abec585b47029017caad53c0adf2","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":"Symmetry, Vol 12, Iss 12, p 2068 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/12/12/2068/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym12122068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym12122068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12122068","pdf_url":"https://www.mdpi.com/2073-8994/12/12/2068/pdf?version=1608631155","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3113154797.pdf","grobid_xml":"https://content.openalex.org/works/W3113154797.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W152969731","https://openalex.org/W1678741983","https://openalex.org/W1862472806","https://openalex.org/W1967226386","https://openalex.org/W1975135956","https://openalex.org/W2053002073","https://openalex.org/W2078654755","https://openalex.org/W2150960209","https://openalex.org/W2157910080","https://openalex.org/W2161083159","https://openalex.org/W2187668958","https://openalex.org/W2315294203","https://openalex.org/W2402837011","https://openalex.org/W2412698873","https://openalex.org/W2492748228","https://openalex.org/W2509353129","https://openalex.org/W2524640692","https://openalex.org/W2537588188","https://openalex.org/W2798638866","https://openalex.org/W2899134299","https://openalex.org/W2910646677","https://openalex.org/W2960437532","https://openalex.org/W2998786473","https://openalex.org/W3034885454","https://openalex.org/W3118506761","https://openalex.org/W4213345774"],"related_works":["https://openalex.org/W2553468687","https://openalex.org/W2953137247","https://openalex.org/W2362574016","https://openalex.org/W2666785071","https://openalex.org/W17147051","https://openalex.org/W2059396883","https://openalex.org/W4388093135","https://openalex.org/W130230158","https://openalex.org/W4302233113","https://openalex.org/W135622916"],"abstract_inverted_index":{"In":[0,124],"this":[1,86,88,146],"paper,":[2],"a":[3,29,48,91,126,151],"new":[4,110],"Takagi\u2013Sugeno":[5,49,67],"Fuzzy":[6,50],"Logic":[7,51],"controller":[8,52,130],"(TS-FLC)":[9],"is":[10,38,53,81,131,148],"presented":[11,39],"and":[12,16,44,99,183],"applied":[13,149],"for":[14,33],"modeling":[15],"controlling":[17],"the":[18,24,34,61,64,74,77,95,102,106,117,134,162,173,181,186],"nonlinear":[19,30],"power":[20,36,57,107],"systems":[21],"even":[22],"in":[23,73,139],"presence":[25],"of":[26,42,63,66,79,97,105,164,185],"disturbances.":[27],"Firstly,":[28],"mathematical":[31],"model":[32,111],"electrical":[35],"system":[37,58,143],"with":[40,85],"consideration":[41],"PSS":[43],"AVR":[45],"controller.":[46],"Then,":[47],"employed":[54],"to":[55,93,100,141,172],"control":[56],"stability.":[59,144],"Nevertheless,":[60],"study":[62,89],"stability":[65,104],"fuzzy":[68],"models":[69],"will":[70],"be":[71],"difficult":[72],"case":[75],"where":[76],"number":[78,96],"nonlinearities":[80,119],"important.":[82],"To":[83,160],"cope":[84],"problem,":[87],"proposed":[90,187],"methodology":[92],"reduce":[94],"rules":[98],"guarantee":[101,142],"global":[103],"system.":[108],"The":[109,177],"included":[112],"only":[113],"two":[114],"rules.":[115],"All":[116],"other":[118],"were":[120],"considered":[121],"as":[122],"uncertainties.":[123],"addition,":[125],"Parallel":[127],"Distributed":[128],"Compensation":[129],"designed":[132],"using":[133],"Linear":[135],"Matrix":[136],"Inequalities":[137],"constraints":[138],"order":[140],"Finally,":[145],"approach":[147,171],"on":[150],"Single":[152],"Machine":[153],"Infinite":[154],"Bus":[155],"affected":[156],"by":[157],"fault":[158],"perturbation.":[159],"show":[161],"novelty":[163],"Takagi":[165],"Sugeno\u2019s":[166],"method,":[167],"we":[168],"compared":[169],"our":[170],"Taylor":[174],"linearization":[175],"method.":[176,188],"numerical":[178],"simulations":[179],"prove":[180],"feasibility":[182],"performance":[184]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
