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

This paper is concerned with the problem of H
∞
control for continuous-time Takagi-Sugeno (T-S) fuzzy systems. By a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H
∞
performance of the T-S fuzzy systems is derived. By variable reduction lemma, the local state feedback gains are constructed, and the condition is expressed by a set of linear matrix inequalities (LMIs). The simulation results illustrate the effectiveness of the proposed approach.