H∞ control for fuzzy sampled-data systems with discrete and distributed delays

T. Ishihara, J. Yoneyama
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引用次数: 1

Abstract

This paper discusses an H∞ sampled-data control design for fuzzy systems with discrete and distributed delays. The size of discrete delay and distributed delay is assumed to be not always the same. The zero-order control input can be represented as a delayed input. Then, the closed-loop system with such an input becomes a system with time-varying delay. Sufficient conditions for the closed-loop system to be stable with satisfying a prescribed H∞ performance index are given in terms of linear matrix inequalities (LMIs). Based on such conditions, we propose a robust H∞ sampled-data control design for an uncertain fuzzy system with discrete and distributed delays. Finally, we extend the result to a robust H∞ sampled-data control design for uncertain fuzzy systems with discrete and distributed delays.
具有离散和分布延迟的模糊采样数据系统的H∞控制
本文讨论了具有离散时滞和分布时滞的模糊系统的H∞采样数据控制设计。假定离散延迟和分布延迟的大小不总是相同的。零阶控制输入可以表示为延迟输入。这样,具有这样一个输入的闭环系统就变成了一个时变时滞系统。用线性矩阵不等式的形式给出了闭环系统稳定并满足给定H∞性能指标的充分条件。基于这些条件,我们提出了具有离散和分布延迟的不确定模糊系统的鲁棒H∞采样数据控制设计。最后,我们将结果推广到具有离散和分布延迟的不确定模糊系统的鲁棒H∞采样数据控制设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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