رويكرد جديدي بر نمايش لم حقيقي كراندار در سيستمهاي همتراز

A New Approach to Bounded Real Lemma Representation for Linear Neutral Systems

This paper is concerned with bounded real criterion for linear neutral delay systems. Two new delay-dependent bounded real lemmas (BRLs) are obtained in this paper, in which, Lyapunov theory is used to derive the first delay-dependent representation for BRL. Using a descriptor model transformation of the system and a new Lyapunov-Krasovskii functional, a less conservative bounded real lemma is obtained compared to that of the first BRL. Then sufficient conditions for the system to possess an Hoo-norm less than a prescribed level, is given in terms of a linear matrix inequality (LMI). The significant advantage of the derived bounded real lemmas is their efficiency in designing Hw controller for the closed-loop neutral systems when delayed term coefficients depend on the controller parameters. Numerical examples are given which illustrate the effectiveness of our proposed BRLs.