{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T15:14:26Z","timestamp":1729610066330,"version":"3.28.0"},"publisher-location":"Reston, Virigina","reference-count":22,"publisher":"American Institute of Aeronautics and Astronautics","content-domain":{"domain":["arc.aiaa.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,6,19]]},"DOI":"10.2514\/6.2012-2407","type":"proceedings-article","created":{"date-parts":[[2012,12,18]],"date-time":"2012-12-18T17:53:44Z","timestamp":1355853224000},"update-policy":"http:\/\/dx.doi.org\/10.2514\/aiaa_crossmarkpolicy","source":"Crossref","is-referenced-by-count":0,"title":["On the Robustness Properties of M-MRAC"],"prefix":"10.2514","author":[{"given":"Vahram","family":"Stepanyan","sequence":"first","affiliation":[{"name":"Mission Critical Technologies, Inc."}]},{"given":"Kalmanje","family":"Krishnakumar","sequence":"additional","affiliation":[{"name":"NASA Ames Research Center"}]}],"member":"1387","published-online":{"date-parts":[[2012,9,6]]},"reference":[{"volume-title":"where the lead factor is determined by the parameter \u03bb. Therefore, \u03bb determines the phase margin (or the time delay margin) of the system, whereas \u03b3 determines the performance. The \"sweet","key":"p_71"},{"key":"p_111","unstructured":"(a) MRAC -80 -60 -40 -20 0 20 40 100101102103104-180"},{"key":"p_116","unstructured":"200 400 600 800 1000 1200 1400 1600 0 0 200 400 600 800 1000 1200 1400 1600 20 0 200 400 600 800 1000 1200 1400 1600 0 Time delay margine in seconds"},{"key":"p_221","unstructured":"b -br 0 -1\u00b5 2r"},{"key":"p_230","unstructured":"2b+\u00b5ab,hence the characteristic equation has two roots in the open right-hand side s-plane, which coincides with the result derived in [6] in the case of a = 1 and b replaced with 2b-1. That is, a fast adaptation in the conventional MRAC design leads to instability in the presence of the unmodeled dynamics \u2206(s). Unlike MRAC design, M-MRAC design is robust to considered unmodeled dynamics, because we can make h > 0 by setting"},{"key":"p_231","unstructured":"\u03bb+a >12b\u00b5\u03b3r2- 1\u00b5 + 1 2 b\u00b5\u03b3r2 - 1\u00b52+2b\u03b3r2. (43) In this case all roots of the characteristic equation are in open left-hand-side s-plane, hence the system (42) is exponentially stable, no mater how big \u03b3 is."},{"key":"p_236","unstructured":"1 2 3 4 5 6 7 8 9 10 -0.5"},{"volume-title":"Stability Margins for Adaptive Controllers in the Presence of Time-Delay. In Proc. of the AIAA Guidance, Navigation, and Control Conference,AIAA 2008-6659","year":"2008","author":"Annaswamy A.","key":"p_247"},{"key":"p_248","doi-asserted-by":"publisher","DOI":"10.1515\/9781400828739"},{"key":"p_249","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2009.2037384"},{"key":"p_250","doi-asserted-by":"publisher","DOI":"10.2514\/6.2006-6347"},{"key":"p_251","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4342-7"},{"volume-title":"Robust Adaptive Control","year":"1996","author":"Ioannou P. A.","key":"p_252"},{"key":"p_253","doi-asserted-by":"publisher","DOI":"10.2514\/6.2009-5969"},{"volume-title":"Nonlinear Systems","year":"2002","author":"Khalil H.K.","key":"p_254"},{"key":"p_255","doi-asserted-by":"publisher","DOI":"10.2514\/6.2010-8047"},{"key":"p_256","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1965-0"},{"volume-title":"March","year":"2009","author":"Nguyen N.","key":"p_257"},{"volume-title":"Proc. of the 7th World Congress on Intelligent Control and Automation","year":"2008","author":"Sang Q.","key":"p_258"},{"key":"p_259","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2011.6161416"},{"volume-title":"Shin. An LMI Based Analysis of Stability Margins in Adaptive Flight Control. In Proceedings of the AIAA Guidance, Navigation and Control Conference","year":"2009","author":"Yang B.-J.","key":"p_260"},{"issue":"397","key":"p_261","first-page":"407","volume":"56","author":"Zhang F.","year":"2007","journal-title":"Systems and Control Letters"}],"event":{"name":"Infotech@Aerospace 2012","location":"Garden Grove, California"},"container-title":["Infotech@Aerospace 2012"],"original-title":[],"link":[{"URL":"http:\/\/arc.aiaa.org\/doi\/pdf\/10.2514\/6.2012-2407","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,21]],"date-time":"2021-03-21T05:45:08Z","timestamp":1616305508000},"score":1,"resource":{"primary":{"URL":"https:\/\/arc.aiaa.org\/doi\/10.2514\/6.2012-2407"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,19]]},"references-count":22,"alternative-id":["10.2514\/6.2012-2407","10.2514\/MIAA12"],"URL":"https:\/\/doi.org\/10.2514\/6.2012-2407","relation":{},"subject":[],"published":{"date-parts":[[2012,6,19]]}}}