Abstract: The robust H∞ control of a class of nonlinear delayed descriptor systems with linear fractional parameter uncertainties was investigated. Based on linear matrix inequality (LMI) theory, the sufficient conditions for the existence of memory-state feedback controllers was derived from the strict LMI design method. Then, the controllers guaranteed that the closed-loop descriptor systems was asymptotically stable with null solution and had a H∞ norm constraint γ, for arbitrary delay d>0 and all admissible uncertain parameters. The result of a numerical example showed the feasibility and effectiveness of the proposed method.