{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:00:36Z","timestamp":1777910436832,"version":"3.51.4"},"reference-count":22,"publisher":"SAGE Publications","issue":"8","license":[{"start":{"date-parts":[[2018,10,17]],"date-time":"2018-10-17T00:00:00Z","timestamp":1539734400000},"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":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2019,5]]},"abstract":"<jats:p>Obtaining all feasible parameters of the proportional-integral-differential (PID) controller is the key goal in uncertain systems. This paper proposes a graphical tuning method based on an internal model control (IMC) strategy for uncertain systems with time delay. Specifically, the Kharitonov theorem is introduced first to simplify the uncertain system into 32 polynomials. Then, for each polynomial, the IMC structure is applied to reduce the tuning parameters of the PID controller in order to rapidly determine the controller parameters. Finally, the maximum sensitivity (Ms) is used to further guarantee the controlled system with a certain robustness and dynamic performance, which can portray constant gain margin and phase margin boundaries, and can even determine the range of parameters of the proposed IMC filter. Three example results from simulations are presented to demonstrate the effectiveness and applicability of the proposed method.<\/jats:p>","DOI":"10.1177\/0142331218775491","type":"journal-article","created":{"date-parts":[[2018,10,17]],"date-time":"2018-10-17T17:40:48Z","timestamp":1539798048000},"page":"2196-2204","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Graphic IMC-PID tuning based on maximum sensitivity for uncertain systems"],"prefix":"10.1177","volume":"41","author":[{"given":"Minghui","family":"Chu","sequence":"first","affiliation":[{"name":"Beijing University of Chemical Technology, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chi","family":"Xu","sequence":"additional","affiliation":[{"name":"Beijing University of Chemical Technology, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jizheng","family":"Chu","sequence":"additional","affiliation":[{"name":"Beijing University of Chemical Technology, PR China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,10,17]]},"reference":[{"key":"bibr1-0142331218775491","volume-title":"4th international conference on control engineering & information technology","author":"Barhoumi L","year":"2017"},{"key":"bibr2-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1007\/BF02551236"},{"key":"bibr3-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2005.06.012"},{"key":"bibr4-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1109\/9.16420"},{"key":"bibr5-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1109\/9.277242"},{"key":"bibr6-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2014.08.004"},{"key":"bibr7-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(01)00040-5"},{"key":"bibr8-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.08.049"},{"key":"bibr9-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1109\/9.478337"},{"key":"bibr10-0142331218775491","first-page":"2533","volume-title":"American control conference","author":"Hollot CV","year":"1992"},{"key":"bibr11-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-0578(00)00026-4"},{"issue":"1","key":"bibr12-0142331218775491","first-page":"25","volume":"9","author":"Liu X","year":"2010","journal-title":"Asia-Pacific Journal of Chemical Engineering"},{"key":"bibr13-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1021\/i200032a041"},{"key":"bibr14-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2014.01.003"},{"key":"bibr15-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2016.1177"},{"key":"bibr16-0142331218775491","first-page":"55","volume-title":"Optimal Real-time Control of Sewer Networks","author":"Skogestad S","year":"2005"},{"key":"bibr17-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1205\/026387600527176"},{"key":"bibr18-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2013.12.037"},{"key":"bibr19-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2011.02.003"},{"key":"bibr20-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/S0098-1354(02)00121-7"},{"key":"bibr21-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1007\/s11771-011-0817-0"},{"key":"bibr22-0142331218775491","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2014.08.011"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331218775491","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331218775491","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331218775491","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:57:34Z","timestamp":1777647454000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331218775491"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,17]]},"references-count":22,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2019,5]]}},"alternative-id":["10.1177\/0142331218775491"],"URL":"https:\/\/doi.org\/10.1177\/0142331218775491","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,17]]}}}