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

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(Overview)
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{{cds101-fa06}}
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{{cds101-fa07}}
  
 
{{righttoc}}
 
{{righttoc}}
 
== Overview ==
 
== Overview ==
  
'''Monday:'''  Transfer Functions ({{cds101 handouts|L6-1_xferfcns_h.pdf|Slides}}, [[Media:30Oct06.mp3|MP3]])
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'''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}}, [http://www.cds.caltech.edu/~murray/courses/cds101/fa06/mp3/1Nov06.mp3 MP3])
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* {{cds101 handouts|L6-1_xferfcns_h.pdf|Lecture handout}}
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'''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:''' Bode plots ({{cds101 handouts|L6-3_bode.pdf|Notes}}, [http://www.cds.caltech.edu/~murray/courses/cds101/fa06/mp3/3Nov06.mp3 MP3])
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'''Friday:''' recitation sections
 
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This lecture focuses on Bode plots, including how to recognize key features of the plots and how to sketch them by hand.
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== Handouts ==
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{| width=100%
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|- valign=top
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| width=33% | Monday
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* {{cds101 handouts|L6-1_xferfcns_h.pdf|Lecture handout}}
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* {{cds101 handouts|hw5.pdf|Homework #5}}
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| width=33% | Wednesday (CDS 110)
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* Lecture notes
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| width=33% | Friday
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* Lecture notes
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|}
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== Reading ==
 
== Reading ==
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== Homework ==
 
== Homework ==
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* {{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.
 
<!-- Links to homework materials -->
 
* {{cds101 handouts|hw5.pdf|Homework #5}}
 
  
 
== FAQ ==
 
== FAQ ==
 
'''Monday'''
 
'''Monday'''
<ncl>CDS 101/110 FAQ - Lecture 6-1</ncl>
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<ncl>CDS 101/110 FAQ - Lecture 6-1, Fall 2007</ncl>
 
'''Wednesday'''
 
'''Wednesday'''
<ncl>CDS 101/110 FAQ - Lecture 6-2</ncl>
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<ncl>CDS 101/110 FAQ - Lecture 6-2, Fall 2007</ncl>
'''Friday'''
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<ncl>CDS 101/110 FAQ - Lecture 6-3</ncl>
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'''Homework'''
 
'''Homework'''
<ncl>CDS 101/110 FAQ - Homework 5</ncl>
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<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 ()

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,, Preprint, 2006..

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

Wednesday

Homework