@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://journals.pan.pl/Content/122922/PDF/art03_internet.pdf},
 doi={10.24425/acs.2022.140864},
 keywords={fuzzy systems, Lipschitz analysis, observer design},
}