Delay-dependent non-fragile H∞ robust control for a class of uncertain stochastic nonlinear systems

In this paper, we consider the delay-dependent non-fragile H_∞ control problem of a class of nonlinear system with time-varying delay using Lyapunov-Krasovskii (LK) functional approach. By exploiting a candidate LK functional and using free-weighting matrices in the delay-dependent analysis, a less conservative sufficient condition for the existence of a memoryless state feedback controller, which ensures stochastic stability as well as a prescribed H_∞ performance of the closed loop system for all admissible uncertainties and controller gain perturbations, is derived in terms of linear matrix inequalities (LMI). A numerical example is presented to illustrate the effectiveness of the proposed result.