An explicit fuzzy observer design for a class of Takagi-Sugeno descriptor systems

In [1] the authors proposed a study concerning the design of explicit state observer for a class of nonlinear descriptor systems described by Takagi-Sugeno (T-S) model with measurable premise variables. In this paper, the aim is to extend this result to a class of T-S descriptor systems when the premise variables are not measurables. This new approach is based on the singular value decomposition. The convergence of the state estimation error is studied using the Lyapunov theory and the stability conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, numerical simulations are given in order to highlight the performance of the proposed estimator.

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