论文标题

多层网络采样数据系统的可控性

Controllability of Multilayer Networked Sampled-data Systems

论文作者

Yang, Zixuan, Wang, Xiaofan, Wang, Lin

论文摘要

本文探讨了具有层间耦合的多层网络采样数据系统的状态可控性,其中零级持有人(ZOHS)在控制和传输通道上。分析了单层和多速率采样对多层线性时间流动(LTI)系统的可控性的影响,并得出了一些足够和/或必要的可控性条件。在特定条件下,可以通过不同节点和不同层之间的网络结构和内部耦合来消除单个节点系统的病理采样。研究了代表性的驱动器间层间耦合模式,它揭示了整个系统即使响应层本身不可控制,因此由于层间耦合,整个系统也可以控制。此外,模拟示例表明,在本地通道上的采样率的修改可能对整个系统的可控性产生正面或负面影响。所有结果表明,多层网络采样数据系统的可控性均受相互耦合因子的共同影响。

This paper explores the state controllability of multilayer networked sampled-data systems with inter-layer couplings, where zero-order holders (ZOHs) are on the control and transmission channels. The effects of both single- and multi-rate sampling on controllability of multilayer networked linear time-invariant (LTI) systems are analyzed, with some sufficient and/or necessary controllability conditions derived. Under specific conditions, the pathological sampling of single node systems could be eliminated by the network structure and inner couplings among different nodes and different layers. The representative drive-response inter-layer coupling mode is studied, and it reveals that the whole system could be controllable due to the inter-layer couplings even if the response layer is uncontrollable itself. Moreover, simulated examples show that the modification of sampling rate on local channels could lay a positive or negative effect on the controllability of the whole system. All the results indicate that the controllability of the multilayer networked sampled-data system is collectively affected by mutually coupled factors.

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