Abstract: The design problem of H∞ state feedback controller with variable gains from feedback is studied in state space for a class of T-S fuzzy descriptor systems, i.e., the controller can stabilize the systems and satisfy the H∞ performance even if the controller is perturbed externally. Making use of the theory of Lyapunov stability and linear matrix inequality (LMI), the sufficient conditions are given to the existence of the desired non-fragile H∞ controllers for a class of T-S fuzzy descriptor systems, with the design method of the controller presented. A numerical simulation is done to show the feasibility and effectiveness of the proposed method.