This article studies reachable set estimation for linear discrete‐time systems with time delay, which are influenced by unknown but bounded disturbances. We propose a novel reachable set estimation method based on zonotopes for the considered systems. The proposed method can estimate real‐time reachable set under nonzero initial conditions. In order to increase estimation accuracy, we propose an iterative method to reduce the conservatism caused by the couplings between reachable sets at different instants. The effectiveness of the proposed method is illustrated by three numerical simulations.

中文翻译：

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线性时滞离散系统的区域可达性集估计。

本文研究了受未知但有界干扰影响的具有时间延迟的线性离散时间系统的可达集估计。针对所考虑的系统，我们提出了一种基于区域同位素的新型可达集估计方法。所提出的方法可以估计非零初始条件下的实时可达集。为了提高估计的准确性，我们提出了一种迭代方法来减少由可到达集合之间在不同时刻之间的耦合所引起的保守性。通过三个数值模拟说明了该方法的有效性。