The Nyquist Stability Criterion can be a bit confusing and daunting when you're first learning it. This journey is set up to provide the basics in a straightforward and understandable way. Once you understand these basics, you'll have a good foundation to build on. This journey is broken up into several sections:
- Prerequisites - the information you might need before starting this journey
- Introduce the basic concepts - an overview of the criterion with minimal mathematics
- Fundamentals - A more mathematically rigorous approach to the criterion
Prerequisite - If you don't have a lot of experience with the Nyquist plot, then it might be useful to review the three major LTI plotting techniques first: Nichols chart, Bode plot, and Nyquist plot. If you understand the basics of the Nyquist plot then you can skip this resource.
Explore three popular methods to visualize the frequency response of a linear time-invariant (LTI) system: the Nichols chart, the Nyquist plot, and the Bode plot. Learn about each method...See More
Introduce the basic concepts - This video provides a gentle introduction to the Cauchy Argument Principle and shows an animation that I think will help the Nyquist Stability Criterion make more sense (part 1).
Introduce the basic concepts - This is a continuation of the above video.
Fundamentals - If you'd like to see a more rigourous explanation of the criterion the Wikipedia article is actually pretty great. Hopefully, after the above resources the mathematics will make more sense.