{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T21:57:51Z","timestamp":1773784671750,"version":"3.50.1"},"reference-count":32,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,11,18]],"date-time":"2024-11-18T00:00:00Z","timestamp":1731888000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Scientific Grant Agency of the Ministry of Education, Research, Development and Youth of the Slovak Republic (VEGA)","award":["1\/0637\/23"],"award-info":[{"award-number":["1\/0637\/23"]}]},{"name":"Scientific Grant Agency of the Ministry of Education, Research, Development and Youth of the Slovak Republic (VEGA)","award":["APVV-21-0125"],"award-info":[{"award-number":["APVV-21-0125"]}]},{"name":"Scientific Grant Agency of the Ministry of Education, Research, Development and Youth of the Slovak Republic (VEGA)","award":["P2-0001"],"award-info":[{"award-number":["P2-0001"]}]},{"name":"Scientific Grant Agency of the Ministry of Education, Research, Development and Youth of the Slovak Republic (VEGA)","award":["L2-3166"],"award-info":[{"award-number":["L2-3166"]}]},{"name":"Slovak Research and Development Agency (APVV)","award":["1\/0637\/23"],"award-info":[{"award-number":["1\/0637\/23"]}]},{"name":"Slovak Research and Development Agency (APVV)","award":["APVV-21-0125"],"award-info":[{"award-number":["APVV-21-0125"]}]},{"name":"Slovak Research and Development Agency (APVV)","award":["P2-0001"],"award-info":[{"award-number":["P2-0001"]}]},{"name":"Slovak Research and Development Agency (APVV)","award":["L2-3166"],"award-info":[{"award-number":["L2-3166"]}]},{"name":"Slovenian Research and Innovation Agency","award":["1\/0637\/23"],"award-info":[{"award-number":["1\/0637\/23"]}]},{"name":"Slovenian Research and Innovation Agency","award":["APVV-21-0125"],"award-info":[{"award-number":["APVV-21-0125"]}]},{"name":"Slovenian Research and Innovation Agency","award":["P2-0001"],"award-info":[{"award-number":["P2-0001"]}]},{"name":"Slovenian Research and Innovation Agency","award":["L2-3166"],"award-info":[{"award-number":["L2-3166"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper deals with the tuning of the parameters of a fractional-order PI controller for the speed control of an electric servo drive in which the torque is set by a torque generator. The controller parameters are tuned using the multiple dominant pole method (MDPM), while the fractional order integrator is approximated by the Oustaloup method. The input parameters required for tuning the controller using MDPM are calculated using the optimization algorithm presented in this paper. This algorithm selects the optimal parameters from a set of points in three-dimensional space, based on the symmetry around a central point. The controller tuning is performed for the normalized control loop model. The obtained optimized normalized fractional order PI controller can then be applied to a real servo drive with specific parameters. The proposed tuning was also verified experimentally, comparing the obtained closed-loop responses with those of the integer-order PI controller. Both simulation and experimental results showed a significant reduction in the integral of the absolute error at the disturbance step compared to a control loop using an integer-order PI controller. This results in a faster output response to load torque steps and a smaller control error in a real servo drive.<\/jats:p>","DOI":"10.3390\/sym16111543","type":"journal-article","created":{"date-parts":[[2024,11,18]],"date-time":"2024-11-18T13:03:14Z","timestamp":1731934994000},"page":"1543","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Application of a Fractional Order PI Controller for a Speed Servo Drive Control"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1167-1681","authenticated-orcid":false,"given":"Pavol","family":"Bistak","sequence":"first","affiliation":[{"name":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6259-4965","authenticated-orcid":false,"given":"Igor","family":"B\u00e9lai","sequence":"additional","affiliation":[{"name":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"}]},{"suffix":"Jr.","given":"Igor","family":"B\u00e9lai","sequence":"additional","affiliation":[{"name":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8110-8985","authenticated-orcid":false,"given":"Damir","family":"Vrancic","sequence":"additional","affiliation":[{"name":"Department of Systems and Control, Jozef Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia"},{"name":"Faculty of Industrial Engineering Novo mesto, \u0160egova ulica 112, 8000 Novo mesto, Slovenia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4957-1894","authenticated-orcid":false,"given":"Mikulas","family":"Huba","sequence":"additional","affiliation":[{"name":"Institute of Automotive Mechatronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovi\u010dova 3, 841 04 Bratislava, Slovakia"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Wiora, J., and Wiora, A. 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