Robust control of T-S fuzzy systems with time-varying delay: New approach.

This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov-Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach gives two great advantages. The first one is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second one concerns the conservatism reduction. An example is given to show the effectiveness and the merits of the design procedure.