{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T20:39:43Z","timestamp":1777927183479,"version":"3.51.4"},"reference-count":33,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,8,16]],"date-time":"2018-08-16T00:00:00Z","timestamp":1534377600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"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":[[2019,3]]},"abstract":"<jats:p>\n                    This article is concerned with designing a 2-degree-of-freedom multi-input multi-output proportional\u2013integral\u2013derivative controller to ensure linear quadratic regulator performance and H\n                    <jats:sub>\u221e<\/jats:sub>\n                    performance using a non-iterative linear matrix inequality\u2013based method. To design the controller, first, a relation between the state feedback gain and proportional\u2013integral\u2013derivative gain is obtained. As the gains of proportional\u2013integral\u2013derivative controller cannot, in general, be found out from this relation for arbitrary stabilizing state feedback gain, a suitable form of the matrices involved in linear matrix inequality\u2013based state feedback design is then chosen to obtain the proportional\u2013integral\u2013derivative gains directly. The special structure of the above matrices allows one to design proportional\u2013integral\u2013derivative controller in non-iterative manner. As a result, multi-objective performances, such as linear quadratic regulator and H\n                    <jats:sub>\u221e<\/jats:sub>\n                    , can be achieved simultaneously without increasing the computational burden much. To enhance the reference-input-to-output characteristics, a feedforward gain is also introduced and designed to minimize certain closed-loop H\n                    <jats:sub>\u221e<\/jats:sub>\n                    performance. The proposed control design method is applied for multi-input multi-output proportional\u2013integral compensation of a laboratory-based quadruple-tank process. The performance of the compensation is studied through extensive simulations and experiments.\n                  <\/jats:p>","DOI":"10.1177\/0959651818791687","type":"journal-article","created":{"date-parts":[[2018,8,17]],"date-time":"2018-08-17T02:46:33Z","timestamp":1534473993000},"page":"303-319","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":13,"title":["Two-degree-of-freedom multi-input multi-output proportional\u2013integral\u2013derivative control design: Application to quadruple-tank system"],"prefix":"10.1177","volume":"233","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1358-7491","authenticated-orcid":false,"given":"Jatin Kumar","family":"Pradhan","sequence":"first","affiliation":[{"name":"School of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Odisha, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arun","family":"Ghosh","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Indian Institute of Technology Kharagpur, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chandrashekhar Narayan","family":"Bhende","sequence":"additional","affiliation":[{"name":"School of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Odisha, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,8,16]]},"reference":[{"key":"bibr1-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2014.911390"},{"key":"bibr2-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(96)00177-X"},{"key":"bibr3-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2007.01.004"},{"key":"bibr4-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00237-0"},{"key":"bibr5-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2003.10.008"},{"key":"bibr6-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.883029"},{"key":"bibr7-0959651818791687","first-page":"481","volume-title":"IFAC Proceedings International symposium on dynamic and control of process systems","author":"Belhaj W"},{"key":"bibr8-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.05.021"},{"key":"bibr9-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00156-X"},{"key":"bibr10-0959651818791687","first-page":"1791","volume-title":"SICE annual conference","author":"Kondo H"},{"key":"bibr11-0959651818791687","first-page":"6593","volume-title":"IEEE conference on decision and control","author":"Silva EI"},{"key":"bibr12-0959651818791687","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2015.0012"},{"key":"bibr13-0959651818791687","unstructured":"Orsi R. 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