this paper deals with the H ∞ control of nonlinear fuzzy descriptor system described by Takagi-Sugeno fuzzy models. In the first step, we present a stability analysis of nonlinear fuzzy descriptor system. The stability conditions are given in LMI form. In the second step, we have developed H ∞ PDC control law in order to reject the effects of external disturbances submitted to the system. Finally, a simulation example is presented to illustrate the mains results.
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