H∞ control for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions: A LMI approach

The problems of relaxed stability conditions and state feedback H
∞
controller designs are studied for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions approach. A new stability conditions are obtained by relaxing the stability conditions derived in previous papers, and a sufficient LMI conditions which guarantee the existence of the state feedback H
∞
controller for T-S fuzzy systems is proposed. Then the solving approach for BLMI is studied based on convex optimization techniques. Finally the effectiveness of the proposed approach is shown through two numerical examples.