Robust H ∞ DOF control for uncertain T-S fuzzy neutral systems

Abstract

This paper investigates the problem of robust H ∞ dynamic output-feedback (DOF) control for a class of uncertain T-S fuzzy neutral systems with linear fractional parametric uncertainties. The aim is to design a full-order fuzzy DOF controller that ensures asymptotic stability of the closed-loop system and guarantees a prescribed H ∞ performance level on disturbance attenuation for all admissible uncertainties. Based on the Lyapunov-Krasoviskii functional and the Barbalat lemma, delay-dependent sufficient conditions for the solvability of this problem are presented in terms of LMIs. Finally, a simulation example is provided to demonstrate the effectiveness and applicability of the proposed method.