Delay-dependent H_∞ control for uncertain neutral Systems

Abstract

This paper deals with the problem of robust H _∞ control for neutral systems. The parameter uncertainty under consideration is assumed to be norm-bounded time-invariant and appears in all the matrices of the model. The aim is to design a state feedback controller such that the plant remained stable for all admissible uncertainties. A linear matrix inequality approach was developed to solve the problem addressed with an H _∞ norm bound constraint on disturbance attenuation. Numerical examples have been presented to demonstrate the potentials of the proposed methods.