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by gtycomb 2898 days ago
"Feedback Systems, An Introduction for Scientists and Engineers" by the same author, Karl Johan Astrom (and Richard Murray) is a readable introduction on how the basic equations come together. Think of it as the innate "language of motion" that is wired in our brain that allows us to bike and walk so effortlessly. Thanks to Newton and friends for their discovery.
2 comments

Hey, you seem to know a bit about the subject. What is the reason for the name "feedback systems"? (I understand a name is just a name, but the fact that I don't understand why that name was picked suggests to me that I'm missing something.)

EDIT: From that book: The term feedback refers to a situation in which two (or more) dynamical systems are connected together such that each system influences the other and their dynamics are thus strongly coupled." So.... the whole system is governed by a system of coupled differencial equations...? This is so broad it's almost meaningless.

A feedback control system, aka a "closed-loop" control system is one in which the actual output is sampled and compared to the desired output and the "controller" adjusts the system gain to reduce the error (difference between actual and desired outputs).

i.e., a portion of the output is "fed back" to the input to obtain that difference between actual and desired output.

Does that help?

Newton and friends had nothing to do with discovery of feedback controls :)
Well, differential equations makes control theory. Write a system of differential equations, come up with an iterative scheme to solve it and there you begin to see the idea of feedback.