Stability analysis for T-S fuzzy systems with interval time-varying delays and nonlinear perturbations

摘要

This paper is concerned with the problem of the robust stability for T-S fuzzy systems with interval time-varying delay and nonlinear perturbations. The key features of the approach include the introduction of uncorrelated augmented matrix items into the Lyapunov functional and the use of some appropriate integral inequalities. Unlike the existing methodologies, the proposed approach involves neither free weighting matrices nor any model transformation. It can, however, lead to much less conservative stability criteria than the existing ones for the systems under consideration. The cases of perturbations are assumed to both nonlinear time-varying perturbations and time-varying uncertainties in linear fractional form. Numerical examples show that the obtained results are less conservative than the existing ones in the literature.