{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T05:45:41Z","timestamp":1740894341103,"version":"3.38.0"},"reference-count":23,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2018,6,11]],"date-time":"2018-06-11T00:00:00Z","timestamp":1528675200000},"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":[[2019,3]]},"abstract":"<jats:p> High adaptation gain in model reference adaptive control (MRAC) with closed-loop reference models (CRMs) is a necessary requirement to ensure guaranteed transient performance with better tracking and fast convergence. The high adaptation gain, however, may excite unmodelled dynamics, leading to instability, making the differential equations of the adaptive law stiff and causing numerical instability. Therefore, it becomes apparent that a compromise is required on either convergence speed and transient performance or system stability. This paper attempts to address these issues with a novel CRM-MRAC architecture with flexible adaptation gain, which varies as a function of the derived parameter estimation error. The proposed adaptive scheme mathematically ensures a designable upper bound of the [Formula: see text] norm; it also ensures the absence of high-frequency oscillations in the control input, thereby making the system more robust and stable. The effectiveness of the proposed work has been validated with simulation studies on a standard numerical example and the performance has been compared with recent similar works. <\/jats:p>","DOI":"10.1177\/0142331218774607","type":"journal-article","created":{"date-parts":[[2018,6,11]],"date-time":"2018-06-11T13:19:15Z","timestamp":1528723155000},"page":"1233-1242","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Robust flexible adaptation gain based CRM for guaranteed transient performance"],"prefix":"10.1177","volume":"41","author":[{"given":"Rajiv","family":"Dey","sequence":"first","affiliation":[{"name":"IIITDM Jabalpur, India"}]},{"given":"Sachin K","family":"Jain","sequence":"additional","affiliation":[{"name":"IIITDM Jabalpur, India"}]},{"given":"Prabin K","family":"Padhy","sequence":"additional","affiliation":[{"name":"IIITDM Jabalpur, India"}]}],"member":"179","published-online":{"date-parts":[[2018,6,11]]},"reference":[{"key":"bibr1-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.914282"},{"key":"bibr2-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/9.362856"},{"key":"bibr3-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2016.0430"},{"key":"bibr4-0142331218774607","doi-asserted-by":"crossref","unstructured":"Gibson TE, Annaswamy AM, Lavretsky E (2012) Adaptive systems with closed-loop reference models: stability, robustness and transient performance. arXiv arXiv:1201.4897.","DOI":"10.1109\/ACC.2013.6580353"},{"key":"bibr5-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2013.2284005"},{"key":"bibr6-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719376"},{"volume-title":"Robust Adaptive Control","year":"2012","author":"Ioannou P","key":"bibr7-0142331218774607"},{"key":"bibr8-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2318871"},{"key":"bibr9-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(84)90009-8"},{"key":"bibr10-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(93)90050-G"},{"key":"bibr11-0142331218774607","first-page":"1095","volume-title":"Proceedings of the IEEE international symposium on industrial electronics","author":"Lee TG","year":"1997"},{"key":"bibr12-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1987.1104543"},{"key":"bibr13-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/9.554398"},{"key":"bibr14-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2012.01.009"},{"volume-title":"New developments in the Design of Model Reference Adaptive Control Systems","year":"1961","author":"Osburn PV","key":"bibr15-0142331218774607"},{"key":"bibr16-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1966.1098361"},{"key":"bibr17-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/9.256328"},{"key":"bibr18-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2010.5530648"},{"key":"bibr19-0142331218774607","doi-asserted-by":"publisher","DOI":"10.2514\/1.55756"},{"key":"bibr20-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/9.233162"},{"key":"bibr21-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2016.2542787"},{"key":"bibr22-0142331218774607","first-page":"3063","volume-title":"Proceedings of the 31st Chinese control conference","author":"Xin W","year":"2012"},{"key":"bibr23-0142331218774607","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2218667"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331218774607","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331218774607","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331218774607","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T04:33:34Z","timestamp":1740890014000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331218774607"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,11]]},"references-count":23,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["10.1177\/0142331218774607"],"URL":"https:\/\/doi.org\/10.1177\/0142331218774607","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"type":"print","value":"0142-3312"},{"type":"electronic","value":"1477-0369"}],"subject":[],"published":{"date-parts":[[2018,6,11]]}}}