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The vehicle model is transformed into a system with unknown inputs. Then, it is rebuilt by adding the default to the system state equation. Based on the Lyapunov function approach and the introduction of some slack variables, sufficient conditions of unknown input observer design are formulated as Linear Matrix Inequalities (LMIs). Finally, the simulation section clearly shows the importance and effectiveness of the proposed strategy.<\/jats:p>","DOI":"10.1155\/2020\/8797482","type":"journal-article","created":{"date-parts":[[2020,9,12]],"date-time":"2020-09-12T23:30:48Z","timestamp":1599953448000},"page":"1-13","source":"Crossref","is-referenced-by-count":3,"title":["Relaxed State and Fault Estimation for Vehicle Lateral Dynamics Represented by T\u2013S Fuzzy Systems"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"http:\/\/orcid.org\/0000-0003-0430-1743","authenticated-orcid":true,"given":"N.","family":"El Youssfi","sequence":"first","affiliation":[{"name":"Industrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, STI-FST Doctoral Study Centre, Sidi Mohamed Ben Abdellah University, Fez, Morocco"}]},{"given":"R.","family":"El Bachtiri","sequence":"additional","affiliation":[{"name":"Industrial Technologies and Services Laboratory (Lab-TSI), Higher School of Technology, 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