Robust H∞ control for fuzzy descriptor systems with state delay

The problem of robust H
∞
fuzzy state feedback control for uncertain fuzzy descriptor systems with state delay is solved. In the case that time-varying uncertainties are in all parameter matrices, sufficient conditions for the existence of fuzzy state feedback controller are presented in terms of linear matrix inequality (LMI). The proposed robust H
∞
control laws guarantee that the resulting closed-loop system is regular, impulse free, and stable with prescribed H
∞
norm bounded constraint for all admissible uncertainties. Finally, a numerical example is provided to demonstrate the validity of the proposed method.