Cyan comments on What is control theory, and why do you need to know about it? - Less Wrong
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A couple of points. First, you've described only feedback control systems -- you've omitted control systems with feedforward components. Feedforward systems have another signal, the perturbation signal, in addition to the current state and target state signals. (Pure feedforward systems which have only the perturbation signal are also possible provided the process is extremely well-modelled -- which is to say, almost never.) Feedforward control systems see a lot of use in chemical engineering, where PID control may not be sufficient to satisfy the design specs. Information about a feedstream is extremely useful for keeping a chemical process at steady state.
Second, the ability of human eyes to track moving objects (while our own heads are also moving!) is a pure control problem with a solution implemented in neurons. Provided I understood correctly what Mimi Galiana taught me, I should point out that our object-tracking abilities aren't based on PID control -- they're based on a (consciously inaccessible but) explicit neural prediction circuit.
In short, the presented view is rather incomplete. There's a limit to how good you can do with PID control; beyond that, you need more information. That said, constraining the future is all about control (or vice verse?), and I think the connection between control theory and rationality is important.
Coincidentally, today I was reading an interesting paper about forward and inverse models in the cerebellum. Here's a quote:
Thanks for that reference. For anyone who doesn't have access to a library subscribing to Trends in Cognitive Sciences, here's a copy that's free to access.
I've heard it said that when someone slips on a banana, the humor is closely connected to the way that normal walking movement continues into an inappropriate context. That sounds to me like a large performance error, and a brain is certainly complex.