New Results of Robust H-Infinite Control for Several Delays Stochastic Systems with Uncertain Nonlinear Perturbations

This paper deals with the problem of robust H-infinite control for a class of uncertain nonlinear perturbations stochastic several delay systems. In this paper, the parametric uncertainties are assumed to be norm bounded. The aim of the paper is to devise a feedback control law such that the closed-loop system is robust H_∞ asymptotically stable and the H_∞ performance of closed-loop system is satiated. In terms of Lyapunov stability theory and LMI(Linear matrix inequality) methods, a sufficient condition for the systems is derived, and the robust H-infinite controller is designed. Finally, a numerical example is given to illustrate the technique is effective.