{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T20:42:10Z","timestamp":1777927330519,"version":"3.51.4"},"reference-count":22,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T00:00:00Z","timestamp":1623369600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["SR\/FTP\/115\/2011"],"award-info":[{"award-number":["SR\/FTP\/115\/2011"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>It is well known that linear time-invariant controllers fail to provide desired robustness margins (e.g. gain margin, phase margin) for plants with non-minimum phase zeros. Attempts have been made in literature to alleviate this problem using high-frequency periodic controllers. But because of high frequency in nature, real-time implementation of these controllers is very challenging. In fact, no practical applications of such controllers for multivariable plants have been reported in literature till date. This article considers a laboratory-based, two-input\u2013two-output, quadruple-tank process with a non-minimum phase zero for real-time implementation of the above periodic controller. To design the controller, first, a minimal pre-compensator is used to decouple the plant in open loop. Then the resulting single-input\u2013single-output units are compensated using periodic controllers. It is shown through simulations and real-time experiments that owing to arbitrary loop-zero placement capability of periodic controllers, the above decoupled periodic control scheme provides much improved robustness against multi-channel output gain variations as compared to its linear time-invariant counterpart. It is also shown that in spite of this improved robustness, the nominal performances such as tracking and disturbance attenuation remain almost the same. A comparison with [Formula: see text]-linear time-invariant controllers is also carried out to show superiority of the proposed scheme.<\/jats:p>","DOI":"10.1177\/09596518211022897","type":"journal-article","created":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T05:59:44Z","timestamp":1623391184000},"page":"212-224","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Design and implementation of decoupled periodic control scheme for a laboratory-based quadruple-tank process"],"prefix":"10.1177","volume":"236","author":[{"given":"Jatin K","family":"Pradhan","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Veer Surendra Sai University of Technology, Sambalpur, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1063-7254","authenticated-orcid":false,"given":"Arun","family":"Ghosh","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, IIT Kharagpur, Kharagpur, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2021,6,11]]},"reference":[{"key":"bibr1-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1109\/87.845876"},{"key":"bibr2-09596518211022897","volume-title":"Multivariable feedback control: analysis and design","volume":"2","author":"Skogestad S","year":"2007"},{"key":"bibr3-09596518211022897","volume-title":"A comparison of controllers for the quadruple tank system","author":"Grebeck M","year":"2016"},{"key":"bibr4-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1021\/ie000381p"},{"key":"bibr5-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/S0098-1354(00)00555-X"},{"key":"bibr6-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20020087"},{"key":"bibr7-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1177\/0959651818791687"},{"key":"bibr8-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.11.003"},{"key":"bibr9-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2011.03.003"},{"key":"bibr10-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2014.0549"},{"key":"bibr11-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2015.2501761"},{"key":"bibr12-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.measurement.2018.12.050"},{"key":"bibr13-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2018.11.046"},{"key":"bibr14-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2009.01.001"},{"key":"bibr15-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2019.01.006"},{"key":"bibr16-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0358"},{"key":"bibr17-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2023964"},{"key":"bibr18-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.895911"},{"key":"bibr19-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1987.1104675"},{"key":"bibr20-09596518211022897","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.08.035"},{"key":"bibr21-09596518211022897","volume-title":"Coupled tank system 33-949S User Manual","author":"Feedback Instruments Ltd East Sussex UK"},{"key":"bibr22-09596518211022897","volume-title":"Automatic control systems: basic analysis and design","author":"Wolovich WA","year":"1993"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518211022897","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/09596518211022897","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/09596518211022897","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:41:06Z","timestamp":1777675266000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/09596518211022897"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,11]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["10.1177\/09596518211022897"],"URL":"https:\/\/doi.org\/10.1177\/09596518211022897","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,11]]}}}