The Bode Sensitivity Integral

Lecture slides: the-bode-sensitivity-integral.pdf Download the-bode-sensitivity-integral.pdf

Feedback is all about trade-offs. This is illustrated clearly by Bode's sensitivity integral: the conservation law of feedback.

Bode's Sensitivity Integral can be derived with some machinery from complex analysis. We give a quick sketch of the case with no open loop unstable poles to avoid getting into too many messy details about different branches of the complex logarithm. Hopefully the video will give you a flavour of the proof!