CDS 101/110 - Transfer Functions

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CDS 101/110a Schedule Recitations FAQ ()


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 will discuss how to construct the frequency response corresponding to a transfer function (Bode plots). We'll cover both the properties of the frequency response as a function of gain, poles and zeros, as well as how to sketch a bode plot for a given transfer function.

Friday: recitation sections


  • K. J. Åström and R. M. Murray,, Preprint, 2007..


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.