Nyquist Analysis

In this lecture we had our last presentation of Project II, followed by a list of proposals for Project III from the book.

In the remainder part of the lecture we discussed a more powerful alternative to the root locus method to stabilize plants. Making Nyquist plots in Maple is really easy:

But understanding why the Nyquist method works requires a substantial amount of complex analysis. In particular, the notion of a winding number is important.