论文标题

具有任意耦合结构的互连系统的分布式估计

Distributed Estimation for Interconnected Systems with Arbitrary Coupling Structures

论文作者

Zhang, Yuchen, Chen, Bo, Yu, Li, Ho, Daniel W. C.

论文摘要

本文涉及与任意耦合结构的时变互连动态系统的分布式估计问题。为了确保设计估计器的鲁棒性,仅提出了新的分布稳定性条件,仅使用本地信息和邻居的信息。然后,不需要及时交换邻居的估计器增益信息的简化稳定条件将为延迟通信的系统进一步开发。通过合并这些子系统级稳定性条件和基于优化的估计器增益设计,提出了分布式,稳定和最佳估计器。值得注意的是,这些优化解决方案可以通过标准软件包轻松获得,并且还表明,在添加或减去子系统的意义上,设计的估计器可扩展。最后,采用了一个说明性的例子来显示所提出的方法的有效性。

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability conditions are proposed with only local information and the information from neighbors. Then, simplified stability conditions which do not require timely exchange of neighbors' estimator gain information is further developed for systems with delayed communication. By merging these subsystem-level stability conditions and the optimization-based estimator gain design, the distributed, stable and optimal estimators are proposed. Quite notably, these optimization solutions can be easily obtained by standard software packages, and it is also shown that the designed estimators are scalable in the sense of adding or subtracting subsystems. Finally, an illustrative example is employed to show the effectiveness of the proposed methods.

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