Robust sliding-mode control for T-S fuzzy singularly perturbed systems with time-delay

This paper investigates the problem of robust ℋ
_∞
dynamic sliding-mode control (SMC) for a class of nonlinear systems with fast and slow dynamics represented by continuous-time Takagi-Sugeno (T-S) fuzzy models with consideration of singular perturbation parameter and time-delay terms. It is shown that the sufficient conditions for the reachability of the sliding-mode and asymptotical stability can be formulated in terms of a set of linear matrix inequalities (LMIs).