This paper designs a novel distributed interval observer for Linear Time Invariant (LTI) systems with additive disturbances. The technique of observer construction relies on the Internal Positive Representations (IPRs) of systems and synchronizing region approach, which ensures that the error system is stably and positive. Each observer estimates the upper and lower bounds (ULBs) of the system states by only using part of the output information and the information interaction with their neighbors. Numerical examples are simulated to demonstrate the effectiveness of the proposed approach.

中文翻译：

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不确定 LTI 系统的基于 IPR 的分布式区间观测器设计

本文针对具有加性扰动的线性时不变 (LTI) 系统设计了一种新颖的分布式区间观测器。观测器构造技术依赖于系统的内部正表示（IPR）和同步区域方法，确保了误差系统是稳定的和正的。每个观察者仅通过使用部分输出信息和与其邻居的信息交互来估计系统状态的上限和下限 (ULB)。数值例子被模拟以证明所提出方法的有效性。