CDS 101/110 - Loop Analysis: Difference between revisions
| Line 4: | Line 4: | ||
== Overview == | == Overview == | ||
'''Monday:''' Stability of Feedback Systems ({{cds101 handouts|L7-1_loopanal_h.pdf|Slides}}, MP3) | '''Monday:''' Stability of Feedback Systems ({{cds101 handouts|L7-1_loopanal_h.pdf|Slides}}, [http://www.cds.caltech.edu/~murray/courses/cds101/fa06/mp3/6Nov06.mp3 MP3] - missing last 15 mins) | ||
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. | 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. | ||
Revision as of 00:43, 7 November 2006
See current course homepage to find most recent page available. |
| CDS 101/110a | Schedule | Recitations | FAQ | AM06 (errata) |
Overview
Monday: Stability of Feedback Systems (Slides, MP3 - missing last 15 mins)
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.
Wednesday: Nyquist Analysis (Notes, MP3)
A more detailed description of the Nyquist criterion and its application to second order systems will be given.
Friday: Stability Margins and Loop Design (Notes, MP3)
In this lecture we will use the concepts of stability and robustness margins to perform simple control systems design in the frequency domain.
Handouts
Monday
|
Wednesday (CDS 110) | Friday |
Reading
- K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Preprint, 2006. Chapter 9 - Loop Analysis.
Homework
This homework set covers stability and robustness using the Nyquist criterion. The first problem consists of two sample systems for which gain and phase margin should be computed using both Nyquist and Bode plots. The second problem investigates the stability and performance of the cruise control system under different PI controllers. The CDS 110 questions explore stability in the presence of delay and the stability and control of a simple disk drive positioning system.
- Homework #6
- Useful MATLAB commands
- tf - generate a transfer function from numberator/denominator coefficients
- nyquist - generate a Nyquist plot for an open loop system L(s)
- margin - generate a bode plot with gain and phase margin
FAQ
Monday <ncl>CDS 101/110 FAQ - Lecture 7-1</ncl> Wednesday <ncl>CDS 101/110 FAQ - Lecture 7-2</ncl> Friday <ncl>CDS 101/110 FAQ - Lecture 7-3</ncl> Homework <ncl>CDS 101/110 FAQ - Homework 6</ncl>
