Clustering-Based Model Reduction of Networked Passive Systems
Clustering-Based Model Reduction of Networked Passive Systems
复制标题
网络无源系统基于聚类的模型简化
DOI：
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发表时间：
2016
影响因子：
6.8
通讯作者：
K. Johansson
中科院分区：
文献类型：
--
作者：
B. Besselink;H. Sandberg;K. Johansson
研究了互联动态系统网络的模型降阶问题。特别是，网络的相同的无源子系统，这是根据一个树形拓扑结构耦合，被认为是。对于这样的网络系统，减少是通过聚类子系统，表现出类似的行为，并随后聚合它们的状态，导致一个降阶的网络系统，允许一个有见地的物理解释。集群的选择的基础上的相关边缘系统的可控性和可观性的分析，代表耦合的重要性，并提供了一个衡量的邻近子系统的行为的相似性。该归约过程被示出为保持同步属性（即，子系统轨迹彼此的收敛），并且允许关于外部输入和输出的减小误差的界限的先验计算。通过建筑物的热模型的示例来说明该方法。
The model reduction problem for networks of interconnected dynamical systems is studied in this paper. In particular, networks of identical passive subsystems, which are coupled according to a tree topology, are considered. For such networked systems, reduction is performed by clustering subsystems that show similar behavior and subsequently aggregating their states, leading to a reduced-order networked system that allows for an insightful physical interpretation. The clusters are chosen on the basis of the analysis of controllability and observability properties of associated edge systems, representing the importance of the couplings and providing a measure of the similarity of the behavior of neighboring subsystems. This reduction procedure is shown to preserve synchronization properties (i.e., the convergence of the subsystem trajectories to each other) and allows for the a priori computation of a bound on the reduction error with respect to external inputs and outputs. The method is illustrated by means of an example of a thermal model of a building.
影响因子：
6.8
作者：
Astolfi, Alessandro
通讯作者：
Astolfi, Alessandro