Non-fragile H∞ control for uncertain fuzzy descriptor systems based on delay-dependent method

In this paper, the delay-dependent non-fragile robust H_∞ control for a class of fuzzy descriptor time-delay systems with norm-bounded parameter uncertainties is investigated. First, a new delay-dependent non-fragile H_∞ stabilization method is proposed via a state feedback fuzzy controller, which guarantees the closed-loop nominal system to be regular, impulse free, asymptotically stable. Then, sufficient conditions for the solvability of the controller design problems of different gain cases are presented in terms of linear matrix inequalities (LMIs) and satisfies an H_∞-norm condition for all admissible uncertainties. Finally, a numerical example is provided to demonstrate the application of the proposed method.