Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler's Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.