Characterising stability implying properties that are preserved under feedback
Characterising stability implying properties that are preserved under feedback
复制标题
表征稳定性意味着在反馈下保留的属性
DOI：
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发表时间：
2016
期刊：
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通讯作者：
R. Pates
中科院分区：
文献类型：
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作者：
R. Pates
大型网络设计的无源方法基于在不同类型的互连（并行和负反馈）下保留无源属性。由于无源性意味着稳定性，因此可以基于简单的局部规则构建大型且拓扑复杂的网络，而无需进行全局稳定性分析。在本文中，我们描述了在负反馈下保留的两种不同的稳定性暗示属性。第一个将电网设计的无源方法推广到其他类别的最小相阻抗函数。第二个允许仅使用局部模型来设计具有反馈环路中的拉普拉斯结构等的网络。
The passivity approach to the design of large networks is based on preserving the passivity property under different types of interconnection: parallel and negative feedback. Since the passivity property implies stability, this allows large and topologically complex networks to be constructed on the basis of simple local rules without the need for global stability analysis. In this paper we characterise two different stability implying properties that are preserved under negative feedback. The first generalises the passivity approach to electrical network design to other classes of minimum phase impedance functions. The second allows for networks with, for example, Laplacian structures in the feedback loop, to be designed using only local models.