{"id":"https://openalex.org/W1640652965","doi":"https://doi.org/10.1109/mmar.2015.7283855","title":"Parametric optimization of PD<sup>α</sup> controller using Laguerre function approximation","display_name":"Parametric optimization of PD<sup>α</sup> controller using Laguerre function approximation","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1640652965","doi":"https://doi.org/10.1109/mmar.2015.7283855","mag":"1640652965"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2015.7283855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2015.7283855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5083224162","display_name":"Marta Zag\u00f3rowska","orcid":"https://orcid.org/0000-0001-8523-5252"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marta Zagorowska","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013813735","display_name":"Jerzy Baranowski","orcid":"https://orcid.org/0000-0003-3313-581X"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jerzy Baranowski","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049175674","display_name":"Piotr Bania","orcid":"https://orcid.org/0000-0003-4496-8673"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Bania","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033380421","display_name":"Waldemar Bauer","orcid":"https://orcid.org/0000-0002-8543-0995"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Waldemar Bauer","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046424581","display_name":"Tomasz Dziwi\u0144ski","orcid":"https://orcid.org/0000-0001-7129-4796"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tomasz Dziwinski","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003792079","display_name":"Pawe\u0142 Pi\u0105tek","orcid":"https://orcid.org/0000-0001-9950-0547"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawel Piatek","raw_affiliation_strings":["Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatics and Biomedical Engineering, AGH University of Science and Technology, Krakow","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"AGH University of Science and Technology, Department of Automatics and Biomedical Engineering, Al. Mickiewicza 30, 30-059 Krak\u00f3w","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":5.7937,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.97357745,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":null,"first_page":"104","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9997000098228455,"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":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.7258769273757935},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6718827486038208},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5982542037963867},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5751662850379944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48872852325439453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4871616065502167},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4726228713989258},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4462507963180542},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42190277576446533},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3995032012462616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3009225130081177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2362440824508667},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14564156532287598},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10543465614318848},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10512903332710266}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.7258769273757935},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6718827486038208},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5982542037963867},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5751662850379944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48872852325439453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4871616065502167},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4726228713989258},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4462507963180542},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42190277576446533},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3995032012462616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3009225130081177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2362440824508667},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14564156532287598},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10543465614318848},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10512903332710266},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":1,"locations":[{"id":"doi:10.1109/mmar.2015.7283855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2015.7283855","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W51586031","https://openalex.org/W68387894","https://openalex.org/W170603852","https://openalex.org/W617317968","https://openalex.org/W655150127","https://openalex.org/W957126737","https://openalex.org/W1964794075","https://openalex.org/W1982792713","https://openalex.org/W2001463640","https://openalex.org/W2018314685","https://openalex.org/W2099250913","https://openalex.org/W2142210844","https://openalex.org/W2247056910","https://openalex.org/W2259227674","https://openalex.org/W2544619384","https://openalex.org/W2786091816","https://openalex.org/W4247953052","https://openalex.org/W6602065062","https://openalex.org/W6681103895","https://openalex.org/W6691378715","https://openalex.org/W6748237805","https://openalex.org/W7038081896"],"related_works":["https://openalex.org/W4210257443","https://openalex.org/W1897769514","https://openalex.org/W1782110414","https://openalex.org/W1965699003","https://openalex.org/W2102500419","https://openalex.org/W2560557371","https://openalex.org/W2278187269","https://openalex.org/W1975836492","https://openalex.org/W1480527559","https://openalex.org/W2545521503"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3],"method":[4,16,67],"for":[5,9,17,39],"optimisation":[6],"of":[7,19,47,68],"PD\u03b1controllers":[8],"linear":[10],"systems":[11],"was":[12,25,30,52],"investigated.":[13],"A":[14],"new":[15],"approximation":[18],"performance":[20,34,50],"index":[21,35,51],"with":[22,36],"infinite":[23],"horizon":[24],"presented":[26],"and":[27,49,54,61],"used.":[28],"Optimisation":[29],"undertaken":[31],"on":[32],"approximated":[33],"satisfactory":[37],"results":[38],"multiple":[40],"test":[41],"systems.":[42],"Results":[43],"are":[44],"promising,":[45],"convergence":[46],"approximant":[48],"observed":[53],"numerically":[55],"illustrated.":[56],"Method":[57],"is":[58],"easily":[59],"extendable":[60],"shows":[62],"promise":[63],"as":[64],"a":[65],"general":[66],"non-integer":[69],"controller":[70],"tuning.":[71]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}