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For this type of processes, tuning formulas to calculate optimally integral\u2013proportional derivative controller parameters to reject input load disturbance, which is an important problem in process control, are presented here. Simple tuning formulas are provided to set the integral\u2013proportional derivative controller parameters for rejection of input load disturbance of integrating plus first order plus dead time and double integrating plus first order plus dead time processes. Time-weighted integral performance indices are exploited to derive optimal formulas for input load disturbance rejection. Achieved formulas for integral\u2013proportional derivative tuning contain only process transfer function parameters. To show benefits and usefulness of the suggested design approach, simulation examples are imparted. Furthermore, comparisons to some available design approaches are given to reveal the superior performance of the suggested design method. In addition, proposed design method is experimentally validated by controlling a cart position.<\/jats:p>","DOI":"10.1177\/09596518221133271","type":"journal-article","created":{"date-parts":[[2022,11,15]],"date-time":"2022-11-15T08:53:56Z","timestamp":1668502436000},"page":"622-637","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Optimal integral\u2013proportional derivative controller design for input load disturbance rejection of time delay integrating processes"],"prefix":"10.1177","volume":"237","author":[{"given":"Fuat","family":"Peker","sequence":"first","affiliation":[{"name":"Department of Electrical & Electronics Engineering, Faculty of Engineering, Dicle University, Diyarbak\u0131r, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8393-1358","authenticated-orcid":false,"given":"Ibrahim","family":"Kaya","sequence":"additional","affiliation":[{"name":"Department of Electrical & Electronics Engineering, Faculty of Engineering, Dicle University, Diyarbak\u0131r, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2022,11,15]]},"reference":[{"key":"bibr1-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2018.06.159"},{"key":"bibr2-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2017.0112"},{"key":"bibr3-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2015.03.002"},{"key":"bibr4-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-070-0"},{"key":"bibr5-09596518221133271","doi-asserted-by":"publisher","DOI":"10.3390\/sym12091449"},{"key":"bibr6-09596518221133271","volume-title":"PID controllers \u2013 theory, design, and tuning","author":"\u00c5str\u00f6m KJ","year":"1995","edition":"2"},{"key":"bibr7-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1243\/09596518JSCE562"},{"key":"bibr8-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1142\/p575"},{"key":"bibr9-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1243\/09596518JSCE954"},{"key":"bibr10-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1177\/0959651816657454"},{"key":"bibr11-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818791687"},{"key":"bibr12-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20010197"},{"key":"bibr13-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2008.06.004"},{"key":"bibr14-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0419"},{"key":"bibr15-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1007\/s40313-015-0196-0"},{"key":"bibr16-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2013.871369"},{"key":"bibr17-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2011.05.006"},{"key":"bibr18-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1252\/jcej.15we022"},{"key":"bibr19-09596518221133271","first-page":"142","volume-title":"2018 37th Chinese control conference","author":"Yin H"},{"key":"bibr20-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2017.1078"},{"key":"bibr21-09596518221133271","doi-asserted-by":"publisher","DOI":"10.3390\/jmse9010025"},{"key":"bibr22-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1007\/s00202-004-0276-9"},{"key":"bibr23-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:19990433"},{"key":"bibr24-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20000245"},{"key":"bibr25-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2018.08.029"},{"key":"bibr26-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2019.1378"},{"key":"bibr27-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1177\/0142331220941657"},{"key":"bibr28-09596518221133271","first-page":"656","volume-title":"2016 IEEE international conference on real-time computing and robotics","author":"Zhang W"},{"key":"bibr29-09596518221133271","doi-asserted-by":"publisher","DOI":"10.3182\/20100705-3-BE-2011.00012"},{"key":"bibr30-09596518221133271","volume-title":"Introduction to stochastic control theory","author":"\u00c5str\u00f6m KJ.","year":"1970"},{"key":"bibr31-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1049\/ip-d.1993.0030"},{"key":"bibr32-09596518221133271","volume-title":"Robust process control","author":"Morari M","year":"1989"},{"key":"bibr33-09596518221133271","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.08.008"},{"key":"bibr34-09596518221133271","unstructured":"Feedback Instruments Ltd. 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