Recently, distributed observer designs have been investigated intensively, but the distributed unknown input observer (DUIO) which can offer the asymptotic convergent estimations of both the states and the unknown inputs (UIs) has not been developed yet. In this paper, we come up with a novel DUIO design method through a distributed interval observer (DIO) for a system with UI, and each sensor with measurement noise. First, by introducing an auxiliary output, the local system is transformed into a system where the output contains no measurement noise. Then, a DIO is designed. Based on the DIO, a relationship between the UI and the state is established algebraically. By taking advantage of the algebraic relationship, a DUIO which is composed of a general distributed observer and an unknown input reconstruction (UIR) is constructed. The DUIO offers the asymptotic convergent state estimation and UIR. After this, asymptotic convergent measurement noise reconstruction is also provided. Finally, a simulation example is given to verify the effectiveness of the proposed method.

中文翻译：

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分布式区间观察器和分布式未知输入观察器设计


最近，分布式观测器设计已得到深入研究，但能够提供状态和未知输入（UI）渐近收敛估计的分布式未知输入观测器（DUIO）尚未开发出来。在本文中，我们通过分布式间隔观察器（DIO）提出了一种新颖的 DUIO 设计方法，适用于具有 UI 且每个传感器具有测量噪声的系统。首先，通过引入辅助输出，将本地系统转变为输出不包含测量噪声的系统。然后设计了一个DIO。基于DIO，UI和状态之间的关系以代数方式建立。利用代数关系，构造了一个由通用分布式观测器和未知输入重构（UIR）组成的DUIO。 DUIO 提供渐近收敛状态估计和 UIR。此后，还提供渐近收敛测量噪声重构。最后给出仿真算例验证所提方法的有效性。