Zeros of transfer functions in networked control with higher-order dynamics

Zeros of transfer functions in networked control with higher-order dynamics
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高阶动态网络控制中传递函数的零点

DOI：
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发表时间：
2014
期刊：
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通讯作者：
M. Šebek
M. Šebek
中科院分区：
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文献类型：
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作者：
Ivo Herman;Dan Martinec;M. Šebek

文献摘要

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本文给出了具有任意阶动态的一般网络控制系统传递函数零点位置的一些结果。将传递函数的分子多项式作为单智能体动力学和拉普拉斯矩阵的函数导出。文献中已知的结果从单积分器和双向编队扩展到一般动力学和一般互连结构。零点的位置与略有修改的结构的极点有关。因此，在某些情况下，零点必须遵循与极点相同的根轨迹类规则，并且它们是交错的。
Abstract This paper presents some results regarding location of transfer function zeros in general network control systems with dynamics of arbitrary order. The numerator polynomial of the transfer function is derived as a function of single agent dynamics and a Laplacian matrix. The results already known in literature are extended from single integrator and bidirectional formations to general dynamics and general interconnection structures. The location of zeros is related to poles of a slightly modified structure. Therefore, in some cases the zeros must follow the same root-locus-like rules as the poles do and they interlace.