Robust H8 Guaranteed Cost Control of Nonlinear Delayed Systems

Abstract

The issue of robust H8 guaranteed cost control for a class of nonlinear systems with delays is investigated. A state-feedback guaranteed cost controller, such that the closed loop system is robustly asymptotically stable with a prescribed H8 disturbance attenuation level r for all nonlinear perturbations, is established based on Lyapunov-Krasovskii approach. Sufficient conditions for the existences of desired controllers are presented in terms of linear matrix inequalities (LMIs). Furthermore, the optimal H8 guaranteed cost controller design for the nonlinear time-delay systems is cast into solving the convex optimization problem with LMIs constraints. A numerical example is provided to demonstrate the effectiveness of the proposed method.