Scheduling of control nodes for improved network controllability
Scheduling of control nodes for improved network controllability
复制标题
控制节点调度以提高网络可控性
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
J. Cortés
中科院分区：
文献类型：
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作者：
Yingbo Zhao;F. Pasqualetti;J. Cortés
本文研究了利用（可能）时变控制节点集控制线性时不变网络的问题。作为控制度量，我们采用最坏情况下的输入能量驱动网络状态从原点到状态空间中单位超球面上的任何一点。我们给出了具有时变输入矩阵的网络可控性Gramian的几何解释，并建立了网络可控度与其特征结构之间的联系。基于可控性Gramian的几何结构，我们提出了一个调度算法，选择控制节点的时间，以提高网络的可控程度。最后，我们数值表明，对于一类集群网络，我们的算法提高了一个恒定的控制节点集所获得的性能，并优于现有的基于列子集选择的算法。
This paper considers the problem of controlling a linear time-invariant network by means of (possibly) time-varying set of control nodes. As control metric, we adopt the worst-case input energy to drive the network state from the origin to any point on the unit hypersphere in the state space. We provide a geometric interpretation of the controllability Gramian of networks with time-varying input matrices, and establish a connection between the controllability degree of a network and its eigenstructure. Based on the geometric structure of the controllability Gramian, we then propose a scheduling algorithm to select control nodes over time so as to improve the network controllability degree. Finally, we numerically show that, for a class of clustered networks, our algorithm improves upon the performance obtained by a constant set of control nodes, and outperforms an existing heuristic-based on column subset selection.