CDS 101/110 - Transfer Functions: Difference between revisions
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== Overview == | == Overview == | ||
'''Monday:''' Transfer Functions ({{cds101 handouts | '''Monday:''' Transfer Functions ({{cds101 handouts|L6-1_xferfcns.pdf|Slides}}, {{cds101 mp3|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. |
Revision as of 01:23, 7 November 2007
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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, 2007. 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>