标题： 分布式观测器设计在有向切换拓扑结构上 显示英文标题

标题： Distributed Observer Design over Directed Switching Topologies

摘要： 分布式观测器设计问题在系统输出信息分散到不同子系统的情况下具有重要意义。 每个子系统都有一个局部观测器，并可以访问一部分测量输出和通过通信网络交换的信息。 本文专注于具有联合连通有向切换网络的分布式观测器设计。 由于被动切换模式以及局部可观测性导致的开环无界性，该问题带来了挑战。 为克服这些挑战，我们开发了一种网络变换映射方法，使得每个局部观测器可以根据独立判断分类到一个独立的子图中。 接下来，针对有向图情况，开发了一种可观测分解和重组方法，以确保每个子图具有独立的动态特性。 然后，使用一种开发的递归证明方法证明了渐近全知性。 本文包含了许多先前结果作为特例，因为大多数仅适用于无向切换拓扑或快速切换情况。 提出了一种自适应耦合增益设计，以简化保证渐近全知性的条件的计算和验证。 最后，通过电力系统的仿真结果验证了所提出理论的有效性。 显示英文摘要

摘要： The distributed observer design problem holds significant importance in cases in which the output information of a system is decentralized across different subsystems. Each subsystem has a local observer and access to one part of the measurement outputs and information exchanged through communication networks. This paper focuses on the design of distributed observer with jointly connected directed switching networks. The problem presents challenges due to passive switching modes and the open-loop unboundedness that results from local observability. To overcome these challenges, we develop a network transformation mapping method whereby each local observer can classify itself into an independent subgraph based on independent judgment. Next, an observable decomposition and reorganization method is developed for the digraph case to ensure that each subgraph possesses independent dynamic properties. Asymptotic omniscience is then proven using a developed recursive proof method. This paper includes many previous results as special cases, because most are only suitable for undirected switching topologies or fast-switching cases. An adaptive coupling gain design is proposed to simplify the calculation and verification of conditions that guarantee asymptotic omniscience. Finally, simulation results with the power system show the validity of the developed theory.