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This problem is solved using a descriptor approach to easily convert the stability conditions into linear matrix inequalities). By augmenting the sensor fault into a state vector, a fuzzy descriptor observer is constructed to simultaneously estimate the state and sensor faults and attenuate the effect of both modelling uncertainties and external disturbance on the estimation error. The faults affecting the system behaviour are considered as an auxiliary state variable. Based on the Lyapunov theory and [Formula: see text] technique, two different approaches are proposed to study the convergence of the state estimation error and the stability conditions are given in terms of linear matrix inequalities. Finally, an application to a model of rolling disk is given to show the applicability of the proposed approaches.<\/jats:p>","DOI":"10.1177\/0142331218755235","type":"journal-article","created":{"date-parts":[[2018,3,26]],"date-time":"2018-03-26T06:58:43Z","timestamp":1522047523000},"page":"135-144","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Sensor fault and state estimation for uncertain fuzzy descriptor systems: An LMI approach"],"prefix":"10.1177","volume":"41","author":[{"given":"Imen","family":"Haj Brahim","sequence":"first","affiliation":[{"name":"Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA), National School of Engineering of Sfax, University of Sfax, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Driss","family":"Mehdi","sequence":"additional","affiliation":[{"name":"University of Poitiers, 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