Analysis and Design of Multi-Agent Systems in Spatial Frequency Domain: Application to Distributed Spatial Filtering in Sensor Networks
Analysis and Design of Multi-Agent Systems in Spatial Frequency Domain: Application to Distributed Spatial Filtering in Sensor Networks
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DOI：
10.1109/access.2020.2974243
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发表时间：
2020-02
期刊：
影响因子：
3.9
通讯作者：
Shinsaku Izumi;S. Azuma;T. Sugie
中科院分区：
文献类型：
--
作者：
Shinsaku Izumi;S. Azuma;T. Sugie
本研究试图在空间频率域中分析和设计多智能体系统，并证明了基于空间频率的方法是有用的传感器网络中的分布式空间滤波。首先，我们采用多智能体系统的共识（即，让所有代理的状态收敛到相同的值）作为示例，并使用空间频率的概念对其进行分析。然后，我们表明，典型的控制器的共识对应于在空间频率域中的低通滤波。这表明空间频率可以表征多智能体系统的行为。其次，我们提出了一种在空间频率域的控制器设计方法。所设计的控制器为反馈系统提供了预先给定的期望空间频率特性。我们进一步推导出空间频率特性的充分条件，以确保所设计的控制器是分布式的。最后，通过传感器网络分布式去噪的实例，验证了该设计方法的有效性和适用性。
This study attempts to analyze and design multi-agent systems in the spatial frequency domain and demonstrates that the spatial frequency-based approach is useful for distributed spatial filtering in sensor networks. First, we take the consensus of multi-agent systems (i.e., letting the states of all agents converge to an identical value) as an example and analyze it using the concept of spatial frequencies. We then show that consensus by typical controllers corresponds to lowpass filtering in the spatial frequency domain. This demonstrates that spatial frequencies can characterize the behavior of multi-agent systems. Second, we present a controller design method in the spatial frequency domain. The designed controllers provide the feedback system with a desired spatial frequency characteristic given in advance. We further derive a sufficient condition for the spatial frequency characteristic to ensure that the designed controllers are distributed. Finally, the effectiveness and applicability of our design method are demonstrated through an example of distributed denoising in a sensor network.