# Difference between revisions of "CDS 101/110 - Transfer Functions"

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{{cds101- | {{cds101-fa07}} | ||

{{righttoc}} | {{righttoc}} | ||

== Overview == | == Overview == | ||

'''Monday:''' Transfer Functions ({{cds101 handouts|L6- | '''Monday:''' Transfer Functions ({{cds101 handouts placeholder|L6-1_xferfcns.pdf|Slides}}, {{cds101 mp3 placeholder|cds101-2007-11-05.mp3|MP3}}) | ||

This lecture introduces transfer functions as a tool for analyzing feedback systems using frequency response and Bode plots. The lecture uses the example of a spring, mass, damper system to show how transfer functions can be used to compute the frequency response of an interconnected system of components. We also define poles and zeros and indicate how they affect the frequency response of a system. Finally, we introduce the general computations of block diagram algebra. | This lecture introduces transfer functions as a tool for analyzing feedback systems using frequency response and Bode plots. The lecture uses the example of a spring, mass, damper system to show how transfer functions can be used to compute the frequency response of an interconnected system of components. We also define poles and zeros and indicate how they affect the frequency response of a system. Finally, we introduce the general computations of block diagram algebra. | ||

'''Wednesday:''' Laplace Transforms ({{cds101 handouts|L6-2_laplace.pdf|Notes}}, | * {{cds101 handouts|L6-1_xferfcns_h.pdf|Lecture handout}} | ||

'''Wednesday:''' Laplace Transforms ({{cds101 handouts placeholder|L6-2_laplace.pdf|Notes}}, {{cds101 mp3 placeholder|cds101-2007-11-05.mp3|MP3}}) | |||

This lecture gives a brief introduction to the Laplace transfrom and describes how it relates to the transfer function for an input/output system. | This lecture gives a brief introduction to the Laplace transfrom and describes how it relates to the transfer function for an input/output system. | ||

'''Friday:''' | '''Friday:''' recitation sections | ||

== Reading == | == Reading == | ||

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== Homework == | == Homework == | ||

* {{cds101 handouts placeholder|hw5.pdf|Homework #5}} - due 12 Nov 07 | |||

This homework set covers basic transfer function concepts. The conceptual problems show how to create a frequency response for a complex system of components using MATLAB. The analytical problems cover basic anaytical concepts in transfer functions. | This homework set covers basic transfer function concepts. The conceptual problems show how to create a frequency response for a complex system of components using MATLAB. The analytical problems cover basic anaytical concepts in transfer functions. | ||

== FAQ == | == FAQ == | ||

'''Monday''' | '''Monday''' | ||

<ncl>CDS 101/110 FAQ - Lecture 6-1</ncl> | <ncl>CDS 101/110 FAQ - Lecture 6-1, Fall 2007</ncl> | ||

'''Wednesday''' | '''Wednesday''' | ||

<ncl>CDS 101/110 FAQ - Lecture 6-2 | <ncl>CDS 101/110 FAQ - Lecture 6-2, Fall 2007</ncl> | ||

'''Homework''' | '''Homework''' | ||

<ncl>CDS 101/110 FAQ - Homework 5</ncl> | <ncl>CDS 101/110 FAQ - Homework 5, Fall 2007</ncl> |

## Revision as of 23:59, 3 November 2007

WARNING: This page is for a previous year.See current course homepage to find most recent page available. |

CDS 101/110a | Schedule | Recitations | FAQ | AM08 (errata) |

## Overview

**Monday:** Transfer Functions (Slides, MP3)

This lecture introduces transfer functions as a tool for analyzing feedback systems using frequency response and Bode plots. The lecture uses the example of a spring, mass, damper system to show how transfer functions can be used to compute the frequency response of an interconnected system of components. We also define poles and zeros and indicate how they affect the frequency response of a system. Finally, we introduce the general computations of block diagram algebra.

**Wednesday:** Laplace Transforms (Notes, MP3)

This lecture gives a brief introduction to the Laplace transfrom and describes how it relates to the transfer function for an input/output system.

**Friday:** recitation sections

## Reading

- K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Preprint, 2006. Chapter 8 -Transfer Functions.

## Homework

- Homework #5 - due 12 Nov 07

This homework set covers basic transfer function concepts. The conceptual problems show how to create a frequency response for a complex system of components using MATLAB. The analytical problems cover basic anaytical concepts in transfer functions.

## FAQ

**Monday**
<ncl>CDS 101/110 FAQ - Lecture 6-1, Fall 2007</ncl>
**Wednesday**
<ncl>CDS 101/110 FAQ - Lecture 6-2, Fall 2007</ncl>
**Homework**
<ncl>CDS 101/110 FAQ - Homework 5, Fall 2007</ncl>