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RobustH∞Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach

机译:基于参数化Lyapunov函数方法的奇异时滞系统的鲁棒H∞控制

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摘要

A new version of delay-dependent bounded real lemma for singular systems with state delay is established by parameterized Lyapunov-Krasovskii functional approach. In order to avoid generating nonconvex problem formulations in control design, a strategy that introduces slack matrices and decouples the system matrices from the Lyapunov-Krasovskii parameter matrices is used. Examples are provided to demonstrate that the results in this paper are less conservative than the existing corresponding ones in the literature.
机译:通过参数化Lyapunov-Krasovskii泛函方法建立了具有状态时滞的奇异系统的时滞相关有界实引理的新版本。为了避免在控制设计中产生非凸问题公式,使用了引入松弛矩阵并使系统矩阵与Lyapunov-Krasovskii参数矩阵解耦的策略。提供的例子表明,本文的结果不如文献中现有的相应结果保守。

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