A Novel Approach to H∞Control Design for Linear Neutral Time-Delay Systems

Abstract EN

This paper is concerned with the problem of H∞ control of linear neutral systems with time-varying delay.

Firstly, by applying a novel Lyapunov-Krasovskii functional which is constructed with the idea of delay partitioning approach, appropriate free-weighting matrices, an improved delay-dependent bounded real lemma (BRL) for neutral systems is established.

By using the obtained BRL, a delay-dependent sufficient condition for the existence of a state-feedback controller, which ensures asymptotic stability and a prescribed H∞ performance level of the corresponding closed-loop system, is formulated in terms of linear matrix inequalities.

Some numerical examples are given to illustrate the effectiveness of the proposed design method.