{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T15:20:50Z","timestamp":1781104850997,"version":"3.54.1"},"reference-count":27,"publisher":"IGI Global Scientific Publishing","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,7,1]]},"abstract":"<p>Fractional-order systems and controllers have been extensively used in many control applications to achieve robust modeling and controlling performance. To implement these systems, curve fitting based integer-order transfer function estimation techniques namely Oustaloup and Matsuda are most widely used. However, these methods are failed to achieve the best approximation due to the limitation of the desired frequency range. Thus, this article presents a simple curve fitting based integer-order transfer function estimation method for fractional-order differentiator\/integrator using frequency response. The advantage of this technique is that it is simple and can fit the entire desired frequency range. Using the approach, an approximation table for fractional-order differentiator has also been obtained which can be used directly to obtain the approximation of fractional-order systems. A simulation study on fractional systems shows that the proposed approach produced better parameter approximation for the desired frequency as compared to Oustaloup, refined Oustaloup and Matsuda techniques.<\/p>","DOI":"10.4018\/ijamc.2020070108","type":"journal-article","created":{"date-parts":[[2020,3,20]],"date-time":"2020-03-20T13:17:39Z","timestamp":1584710259000},"page":"133-150","source":"Crossref","is-referenced-by-count":4,"title":["An Integer-Order Transfer Function Estimation Algorithm for Fractional-Order PID Controllers"],"prefix":"10.4018","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1039-4707","authenticated-orcid":true,"given":"Kishore","family":"Bingi","sequence":"first","affiliation":[{"name":"Universiti Teknologi Petronas, Seri Iskandar, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rosdiazli","family":"Ibrahim","sequence":"additional","affiliation":[{"name":"Universiti Teknologi Petronas, Seri Iskandar, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohd Noh","family":"Karsiti","sequence":"additional","affiliation":[{"name":"Universiti Teknologi Petronas, Seri Iskandar, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sabo Miya","family":"Hassan","sequence":"additional","affiliation":[{"name":"Abubakar Tafawa Balewa University, Bauchi, Nigeria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vivekananda Rajah","family":"Harindran","sequence":"additional","affiliation":[{"name":"Petronas Group Technical Solutions, Selangor, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2432","reference":[{"key":"IJAMC.2020070108-0","doi-asserted-by":"publisher","DOI":"10.1142\/7709"},{"issue":"21","key":"IJAMC.2020070108-1","first-page":"1021","article-title":"Applications of fractional calculus.","volume":"4","author":"M.Dalir","year":"2010","journal-title":"Applied Mathematical Sciences"},{"key":"IJAMC.2020070108-2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20545-3"},{"key":"IJAMC.2020070108-3","author":"S.Das","year":"2011","journal-title":"Fractional order signal processing: introductory concepts and applications"},{"key":"IJAMC.2020070108-4","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2016.01.020"},{"key":"IJAMC.2020070108-5","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-015-0351-1"},{"key":"IJAMC.2020070108-6","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2011.2166775"},{"key":"IJAMC.2020070108-7","doi-asserted-by":"publisher","DOI":"10.1007\/s13369-017-2740-7"},{"key":"IJAMC.2020070108-8","first-page":"1","article-title":"Real-Time Control of Pressure Plant Using 2DOF Fractional-Order PID Controller.","author":"B.Kishore","year":"2018","journal-title":"Arabian Journal for Science and Engineering"},{"key":"IJAMC.2020070108-9","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.06.022"},{"key":"IJAMC.2020070108-10","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2015.1124290"},{"key":"IJAMC.2020070108-11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.08.042"},{"key":"IJAMC.2020070108-12","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84996-335-0","author":"C. 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