@ARTICLE{Delmotte_Francois_On_2022, author={Delmotte, Francois and Hammami, Mohamed Ali and Rettab, Nour El Houda}, volume={vol. 32}, number={No 1}, journal={Archives of Control Sciences}, pages={57-72}, howpublished={online}, year={2022}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={A large class of nonlinear systems can be represented or well approximated by Takagi- Sugeno (TS) fuzzy models, which in theory can approximate a general nonlinear system to an arbitrary degree of accuracy. The TS fuzzy model consists of a fuzzy rule base. The rule antecedents partition a given subspace of the model variables into fuzzy regions, while the consequent of each rule is usually a linear or affine model, valid locally in the corresponding region. In this paper, the observer design problem for a T-S fuzzy system subject to Lypschitz perturbation is investigated. First, an observer of Kalman type is designed to estimate the unknown system states. Then, the class of one-sided Lipschitz for a TS fuzzy system subject to a sufficient condition on the bound is studied. The challenges are discussed and some analysis oriented tools are provided. An example is given to show the applicability of the main result.}, type={Article}, title={On the state estimation for nonlinear continuous-time fuzzy systems}, URL={http://sd.czasopisma.pan.pl/Content/122922/PDF/art03_internet.pdf}, doi={10.24425/acs.2022.140864}, keywords={fuzzy systems, Lipschitz analysis, observer design}, }