This article considers the design of interval functional observers to estimate a linear function of the state vector of time‐delay systems subject to both input and output additive disturbances. Two novel functional observers are proposed and designed such that they bound the set of all admissible values of a linear function of the state vector at each instant of time. By contrast to interval observers currently available in the literature, both observers proposed in this article utilize multiple delayed output measurement and have a more general structure. This trade‐off feature overcomes some drawbacks in previous work and enables interval functional observers to be designed for a wider class of time‐delay systems. Conditions for the existence of interval functional observers are derived and an effective design algorithm for computing unknown observer matrices is provided. Two illustrative examples are given to show the advantages and effectiveness of our design method.

中文翻译：

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具有加性扰动的时滞系统的间隔功能观测器

本文考虑了区间函数观测器的设计，以估计受输入和输出相加扰动影响的时滞系统状态向量的线性函数。提出并设计了两个新颖的功能观测器，以使它们在每个时间点约束状态向量的线性函数的所有可允许值的集合。与文献中当前可用的间隔观测器相比，本文提出的两个观测器都利用了多个延迟的输出测量，并且具有更通用的结构。这种折衷的功能克服了以前工作中的一些缺点，并使间隔功能观察者可以设计用于更广泛的时间延迟系统。推导了区间函数观测器存在的条件，并提供了一种有效的计算未知观测器矩阵的设计算法。给出两个说明性例子，以说明我们设计方法的优点和有效性。