On the analysis of qualitative Nyquist plots

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-06-17 DOI:10.1016/j.sysconle.2025.106164

Davide Tebaldi, Roberto Zanasi

引用次数: 0

Abstract

A powerful tool in control and systems engineering is represented by Nyquist plots, for which a qualitative representation often gives a clearer visualization of the frequency response function that is typically not given by computer programs, especially if portions of the Nyquist plot extend to infinity. This letter addresses the graphical analysis of the frequency response function, with the objective of enhancing the procedure for the qualitative construction of Nyquist plots. Several results supported by analytical proofs are derived for what concerns the low and high frequency behavior, which enable to improve the qualitative construction of Nyquist plots in the vicinity of the initial and final points.

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关于定性奈奎斯特图的分析

奈奎斯特图是控制和系统工程中的一个强大工具，它的定性表示通常可以更清晰地显示频率响应函数，这通常是计算机程序无法给出的，特别是当奈奎斯特图的部分延伸到无穷大时。这封信涉及频率响应函数的图形分析，目的是提高奈奎斯特图的定性构建程序。在分析证明的支持下，得到了关于低频和高频行为的几个结果，这些结果能够改进初始点和最终点附近奈奎斯特图的定性构建。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.