In conjunction with the release of the new Arduino PID Library I've decided to release this series of posts. The last library, while solid, didn't really come with any code explanation. This time around the plan is to explain in great detail why the code is the way it is. I'm hoping this will be of use to two groups of people: People directly interested in what's going on inside the Arduino PID library will get a detailed explanation. Anyone writing their own PID algorithm can take a look at
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