Controllability of networked MIMO systems
Controllability of networked MIMO systems
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DOI：
10.1016/j.automatica.2016.03.013
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发表时间：
2015-05
期刊：
影响因子：
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通讯作者：
L. Wang;Guanrong Chen;X. Wang;W. Tang
中科院分区：
文献类型：
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作者：
L. Wang;Guanrong Chen;X. Wang;W. Tang
本文考虑网络系统的状态可控性，其中网络拓扑是有向和加权的，节点是高维线性时不变（LTI）动力系统。我们研究了网络拓扑、节点系统动力学、外部控制输入和内部相互作用如何影响网络系统的可控性，并表明对于一般的网络化多输入/多输出（MIMO）系统：(1)整体网络的可控性是上述相关因素综合的结果，不能解耦为单个节点系统的可控性和单纯由网络拓扑决定的属性；(2)如果网络拓扑不受外部输入的控制，那么具有相同节点的网络系统即使在结构上是可控的，也是不可控的；(3)在网络拓扑可控的情况下，节点的可控性和可观测性是网络系统在某些温和条件下具有可控性的必要条件，但并非充分条件。
In this paper, we consider the state controllability of networked systems, where the network topology is directed and weighted and the nodes are higher-dimensional linear time-invariant (LTI) dynamical systems. We investigate how the network topology, the node-system dynamics, the external control inputs, and the inner interactions affect the controllability of a networked system, and show that for a general networked multi-input/multi-output (MIMO) system: (1) the controllability of the overall network is an integrated result of the aforementioned relevant factors, which cannot be decoupled into the controllability of individual node-systems and the properties solely determined by the network topology; (2) if the network topology is uncontrollable by external inputs, then the networked system with identical nodes will be uncontrollable, even if it is structurally controllable; (3) with a controllable network topology, controllability and observability of the nodes together are necessary for the controllability of the networked systems under some mild conditions, but nevertheless they are not sufficient.