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arXiv 1708.01459math.OC
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线性系分布式观测器设计的一种简单方法

A simple approach to distributed observer design for linear systems

Weixin Han, Harry L. Trentelman, Zhenhua Wang, Yi Shen

摘要:

本文研究由观测器网络观测的连续时间线性时不变(LTI)系统的分布估计问题。网络中的每个观察者只能访问被观察系统的部分输出,并根据给定的网络图与其邻居进行通信。在本文中,我们恢复了已知的结果,即如果被观测系统是可观测的,并且网络图是强连通有向图,则存在分布式观测器。此外,估计误差可以收敛到零,在任何先验给定的衰减率。我们的方法导致了一个相对简单的证明这个结果,使用与原始网络图相关联的平衡图的镜像。我们的分布式观测器的数值设计减少到解决线性矩阵不等式(LMI)。网络中的每个观测器的状态维数等于被观测对象的状态维数。

英文摘要:

This note investigates the distributed estimation problem for continuous-time linear time-invariant (LTI) systems observed by a network of observers. Each observer in the network has access to only part of the output of the observed system, and communicates with its neighbors according to a given network graph. In this note we recover the known result that if the observed system is observable and the network graph is a strongly connected digraph, then a distributed observer exists. Moreover, the estimation error can be made to converge to zero at any a priori given decay rate. Our approach leads to a relatively straightforward proof of this result, using the mirror of the balanced graph associated with the original network graph. The numerical design of our distributed observer is reduced to solving linear matrix inequalities (LMI's). Each observer in the network has state dimension equal to that of the observed plant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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