Week 6: Transfer Functions
Overview
Monday: 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 and their relationship to transfer functions will be discussed.
Friday: Michael Dickinson (BE) will present a lecture on modeling and control of insect flight.Handouts
Monday (CDS 101/110)
Wednesday (CDS 110 only)
Reading
-
K. J. Åström and R. M. Murray, Analysis and Design of Feedback Systems, Preprint, 2004. Chapter 6 . (Caltech access only).
- ŸPackard, Poola, Horowitz, Chapters 5-6
Homework
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.
Additional Information