Gang of Six in Control Theory 🔧

Check out the other videos in the series:
Part 1 - What Does a Control Engineer Do? https://youtu.be/ApMz1-MK9IQ
Part 2 - What Is Gain Scheduling? https://youtu.be/YiUjAV1bhKs
Part 3 - What Is Feedforward Control? https://youtu.be/FW_ay7K4jPE
Part 4 - Why Time Delay Matters https://youtu.be/wouhREkqZa0
Part 5 - A Better Way to Think About a Notch Filter https://youtu.be/tpAA5eUb6eo
Part 6 - What Are Non-Minimum Phase Systems? https://youtu.be/jGEkmDRsq_M
Part 7 - 4 Ways to Implement a Transfer Function in Code https://youtu.be/nkq4WkX7CFU

When analyzing feedback systems, we can get caught up thinking solely about the relationship between the reference signal and the output. However, to fully understand how a feedback system behaves, we actually need to look at four different transfer functions. And if our system has a feedforward path, then this expands to six – the so-called gang of six transfer functions. The goal of this video is to provide a little intuition around why we need to look at more than just a single transfer function to fully capture the properties of the system.

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Check out these other resources:
Chapter 5 of Control System Design by Karl Johan Åström: https://www.cds.caltech.edu/~murray/courses/cds101/fa02/caltech/astrom-ch5.pdf
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