Volume 3, Issue 4 (Journal of Control, V.3, N.4 Winter 2010)
JoC 2010, 3(4): 46-57 |
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Shariati A, Taghirad H R, Labibi B. A New Approach to Bounded Real Lemma Representation for Linear Neutral Systems. JoC 2010; 3 (4) :46-57
URL: http://joc.kntu.ac.ir/article-1-154-en.html
URL: http://joc.kntu.ac.ir/article-1-154-en.html
Abstract: (19605 Views)
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 H-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 H 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
Keywords: Bounded Real Lemma (BRL), Neutral system, descriptor model, Linear Matrix Inequality (LMI).
Type of Article: Research paper |
Subject:
Special
Received: 2014/08/30 | Accepted: 2014/08/30 | Published: 2014/08/30
Received: 2014/08/30 | Accepted: 2014/08/30 | Published: 2014/08/30
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