View source for CDS 101/110 - Loop Analysis

== Overview ==

The learning objectives for this week are:
* Students should be able to draw a Nyquist curve and use the Nyquist criterion to determine stability
* Students should be able to compute the gain a phase margin for a system using Nyquist and Bode plots

'''Monday:'''  Stability of Feedback Systems ({{cds101 handouts|L7-1_loopanal.pdf|Slides}}, {{cds101 mp3|cds101-2008-11-10.mp3|MP3}})

This lecture describes how to analyze the stability and performance of a feedback system by looking at the open loop transfer function. We introduce the Nyquist criteria for stability and talk about the gain and phase margin as measures of robustness. The cruise control system is used as an example throughout the lecture.

* {{cds101 handouts|L7-1_loopanal_h.pdf|Lecture handout}}
* MATLAB handouts: {{cds101 matlab|L7_1_loopanal.m}},  {{cds101 matlab|ambode.m}}, {{cds101 matlab|amnyquist.m}}, {{cds101 matlab|arrow.m}}

'''Wednesday:''' Nyquist Analysis ({{cds101 handouts|L7-2_nyquist.pdf|Notes}}, {{cds101 mp3|cds101-2008-11-12.mp3|MP3}})

In this lecture we will derive the Nyquist criterion using the principle of the argument and show how to apply it to determine stability of a closed loop system. We will also see how to account for right half plane poles in the open loop transfer function. Finally, we will give a brief introduction to time delay and its effects on stability.

'''Friday:''' recitations