The idea that there is such a thing as analogue computation is a classic oxymoron. The logic of the digital is computation and vice versa. (Now let's see how quickly this thread devolves.)
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Replying to @NegarestaniReza
okay, so what is an analogue PID controller doing then, exactly, if not computing differentials and integrals?
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Replying to @jancorazza
That's the problem. You are already modeling the said controller on digital computation.
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Replying to @NegarestaniReza @jancorazza
you can build a PID controller on analog hardware. Isn't that what Wiener's AA gun was doing? The Soyuz guidance system worked that way until like 2010. Even digital computation is based on an analogy. The 0/1 dichotomy of bits is a special case of transistor behaviour.
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Replying to @reighleyc @jancorazza
Quite the contrary, such models were already implicitly based on the principles of digital computation. You can even go as far as Sputnik 1. Analogue computation is a fundamentally misconceived notion. I'm sure
@dynamic_proxy can articulate the problem far better than me.2 replies 0 retweets 3 likes -
This interpretation strikes me as implausible historically. Thomson's integrating machine and Babbage's analytical engine seem to have developed as seperate solutions to the same practical problem long before any actual principles of computation were clearly articulated.
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It's like saying that Ptolemaic system was before the Copernican system and it was semi-effective. That's triviality at best. The Ptolemaic system was already working on equations of motion via Ox calculators and Oresme's formula. They just didn't know the undergirding mechanisms
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Only when Copernicus and Kepler made those equations explicit in line with the observational data which was available, they noticed even the Ptolemaic system was functioning according to equations of motions but extremely haphazardly as they had no idea what these equations imply
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