Robust variance control for a class of uncertain neutral delay systems

Abstract

This study investigates the robust variance control problem of neutral systems, taking parameter uncertainties and time delays into account. By introducing algebraic manipulations and appropriate uncertainty descriptions, the purpose of this problem is to design a static-state feedback controller that does not depend on the parameter uncertainties, such that not only the steady-state variance of each state is not more than the individual pre-specified value but also that the resulting closed-loop system is asymptotically stable simultaneously. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. Furthermore, a numerical example is given to illustrate the effectiveness of the proposed approach.