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New Delay Dependent Robust Stability Criteria for T-S Fuzzy Systems with Constant Delay

机译:具有恒时滞的T-S模糊系统的新的时滞相关鲁棒稳定性判据

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摘要

This paper deals with the problem of delay dependent robust stability for T-S fuzzy time delay systems. The approach based on constructing a new Lyapunov-Krasovskii functional by dividing uniformly the delay interval into N segment with N is positive integer, and using Finsler's lemma. This new Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments. The perturbations considered are norm bounded, and the results are expressed in terms of linear matrix inequality (LMIs). Numerical examples are provided to show the effectiveness of the present method, compared with some recent previous ones.
机译:本文研究了T-S模糊时滞系统的时滞相关鲁棒稳定性问题。该方法基于以下构造方法:通过将延迟间隔均匀地划分为N个段(其中N为正整数)并使用Finsler引理构造一个新的Lyapunov-Krasovskii泛函。选择了这种新的Lyapunov-Krasovskii泛函,并选择了与不同段相对应的不同加权矩阵。所考虑的扰动是范数有界的,并且结果以线性矩阵不等式(LMI)表示。与最近的一些先前方法相比,提供了数值示例以显示本方法的有效性。

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