@ARTICLE{Aitdaraou_Khaoula_Discrete-time_2023, author={Aitdaraou, Khaoula and Essabre, Mohamed and El Assoudi, Abdellatif and El Yaagoubi, El Hassane}, volume={vol. 33}, number={No 2}, journal={Archives of Control Sciences}, pages={321-328}, howpublished={online}, year={2023}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={The studied problem in this paper, treat the issue of state and fault estimation using a fuzzy observer in the case of unmeasurable decision variable for Discrete-Time Takagi-Sugeno Singular Sytems (DTSSS). First, an augmented system is introduced to gather state and fault into a single vector, then on the basis of Singular Value Decomposition (SVD) approach, this observer is designed in explicit form to estimate both of state and fault of a nonlinear singular system. The exponential stability of this observer is studied using Lyapunov theory and the convergence conditions are solved with Linear Matrix Inequalities (LMIs). Finally a numerical example is simulated, and results are given to validate the offered approach.}, type={Article}, title={Discrete-time Takagi-Sugeno singular systems with unmeasurable decision variables: state and fault fuzzy observer design}, URL={http://sd.czasopisma.pan.pl/Content/127706/PDF-MASTER/art03_int.pdf}, doi={10.24425/acs.2023.146278}, keywords={observer design, unmeasurable decision variable, SVD approach, Lyapunov function, LMIs}, }