聚类共识网络的聚合控制

Almuatazbellah M. Boker, T. Nudell, A. Chakrabortty
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引用次数: 19

摘要

本文研究了集群共识网络的慢时间尺度动态控制问题。利用聚类产生的时间尺度分离,我们首先将实际网络模型分解为近似模型,并将每个节点的控制器定义为两个独立的状态反馈控制器的和,一个用于快速动态,另一个用于慢速动态。我们证明了慢速控制器对于属于同一集群的每个节点都是相同的,这表明每个区域只需要设计一个单独的聚合慢速控制器。这大大降低了设计的计算复杂度。应用奇异摄动理论的结果表明,当这些单独的控制器在实际网络上实现时,只要聚类强,闭环响应接近于从近似模型得到的闭环响应。通过仿真实例说明了设计过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On aggregate control of clustered consensus networks
In this paper we address the problem of controlling the slow-time-scale dynamics of clustered consensus networks. Using time-scale separation arising from clustering, we first decompose the actual network model into an approximate model, and define the controller at every node as the sum of two independent state-feedback controls, one for the fast dynamics and another for the slow. We show that the slow controller is identical for every node belonging to the same cluster, indicating that only a single aggregate slow controller needs to be designed per area. This reduces the computational complexity of the design significantly. Applying results from singular perturbation theory, we show that when these individual controllers are implemented on the actual network, the closed-loop response is close to that obtained from the approximate models, provided that the clustering is strong. The design procedure is demonstrated by a simulation example.
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