论文标题
基于设置的状态估计和线性离散时间描述符系统的故障诊断，使用受约束的划界
Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes
论文作者
论文摘要
本文介绍了线性描述符系统的设定状态估计和主动故障诊断的新方法。该算法基于限制的分子型，这是能够描述强烈不对称凸集的地位的概括，同时保留了地位的计算优势。此外，与其他集合表示不同，例如间隔，地位，椭圆形，旁皮类动物等，在状态变量上的线性静态约束（典型的描述符系统）可以直接合并到约束的分流器的数学描述中。因此，提出的方法与基于先前集合的现有方法相比，在状态估计中取得了更准确的结果，而无需对描述符系统结构的等级假设以及准确性和效率之间的公平权衡。这些优点在两个数字示例中突出显示。
This paper presents new methods for set-valued state estimation and active fault diagnosis of linear descriptor systems. The algorithms are based on constrained zonotopes, a generalization of zonotopes capable of describing strongly asymmetric convex sets, while retaining the computational advantages of zonotopes. Additionally, unlike other set representations like intervals, zonotopes, ellipsoids, paralletopes, among others, linear static constraints on the state variables, typical of descriptor systems, can be directly incorporated in the mathematical description of constrained zonotopes. Therefore, the proposed methods lead to more accurate results in state estimation in comparison to existing methods based on the previous sets without requiring rank assumptions on the structure of the descriptor system and with a fair trade-off between accuracy and efficiency. These advantages are highlighted in two numerical examples.
