On stability analysis by using Nyquist and Nichols Charts

TL;DR

This paper reviews stability analysis methods using Nyquist and Nichols charts, explaining their relationship through crossing concepts, and demonstrates these techniques with numerical examples to aid control system design.

Contribution

It provides a comprehensive explanation of the relationship between Nyquist and Nichols stability criteria using crossing concepts, enhancing understanding for control system design.

Findings

Clarifies the relationship between Nyquist and Nichols criteria

Demonstrates stability analysis with numerical examples

Provides insights into loop-shaping control design techniques

Abstract

This paper reviews stability analysis techniques by using the Nyquist and Nichols charts. The relationship between the Nyquist and Nichols stability criteria is fully described by using the crossing concept. The results are demonstrated through several numerical examples. This tutorial provides useful insights into the loop-shaping based control systems design such as Quantitative Feedback Theory.