{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:08:51Z","timestamp":1773655731397,"version":"3.50.1"},"reference-count":37,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2016,12,15]],"date-time":"2016-12-15T00:00:00Z","timestamp":1481760000000},"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":[[2018,2]]},"abstract":"<jats:p> An adaptive state observer is an adaptive observer that does not require the persistent excitation condition to estimate the state. The usual structural requirement for designing this kind of observers is that the unknown parameters explicitly appear in the measured state dynamics. This paper deals with the problem of adaptive state observer synthesis for a class of nonlinear systems with unknown parameters in unmeasured state dynamics. The novelty of the proposed approach is that it requires neither a canonical form nor the approximation of some of the output\u2019s time derivatives. Firstly, we establish a new matrix equality that characterizes the structure of almost all systems found in the very small literature dealing with this problem. Then, this equality is exploited in the construction of the adaptation law. This simplifies the design procedure and makes it very similar to the conventional adaptive state observer design procedure. The problem of finding the observer gains is expressed as a linear matrix inequalities optimization problem. Two examples are given to demonstrate the validity of the proposed scheme. <\/jats:p>","DOI":"10.1177\/0142331216680288","type":"journal-article","created":{"date-parts":[[2017,12,31]],"date-time":"2017-12-31T10:16:16Z","timestamp":1514715376000},"page":"1297-1308","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["A new methodology for an adaptive state observer design for a class of nonlinear systems with unknown parameters in unmeasured state dynamics"],"prefix":"10.1177","volume":"40","author":[{"given":"Nabil","family":"Oucief","sequence":"first","affiliation":[{"name":"LCP, Department of Electrical Engineering, ENP, Algiers, Algeria"},{"name":"LAJ, Faculty of Science and Technology, University of Jijel, Jijel, Algeria"}]},{"given":"Mohamed","family":"Tadjine","sequence":"additional","affiliation":[{"name":"LCP, Department of Electrical Engineering, ENP, Algiers, Algeria"}]},{"given":"Salim","family":"Labiod","sequence":"additional","affiliation":[{"name":"LAJ, Faculty of Science and Technology, University of Jijel, Jijel, Algeria"}]}],"member":"179","published-online":{"date-parts":[[2016,12,15]]},"reference":[{"key":"bibr1-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1109\/9.1273"},{"key":"bibr2-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(00)00065-7"},{"key":"bibr3-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-73503-8_7"},{"key":"bibr4-0142331216680288","volume-title":"Linear Matrix Inequalities in System and Control Theory","author":"Boyd S","year":"1997"},{"key":"bibr5-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1973.1100367"},{"key":"bibr6-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1109\/9.566664"},{"key":"bibr7-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(98)00013-2"},{"key":"bibr8-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0031-4"},{"key":"bibr9-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2013.01.002"},{"key":"bibr10-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.06.008"},{"key":"bibr11-0142331216680288","volume-title":"Synth\u00e8se de commandes et d\u2019observateurs pour les syst\u00e8mes non-lin\u00e9aires: Application aux syst\u00e8mes hydrauliques","author":"Feki M","year":"2001"},{"key":"bibr12-0142331216680288","doi-asserted-by":"publisher","DOI":"10.1002\/acs.958"},{"key":"bibr13-0142331216680288","unstructured":"Grant M, Boyd S, Ye Y (2016) Cvx: Matlab software for disciplined convex programming. 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