@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://journals.pan.pl/Content/127706/PDF/art03_int.pdf},
 doi={10.24425/acs.2023.146278},
 keywords={observer design, unmeasurable decision variable, SVD approach, Lyapunov function, LMIs},
}