A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs

Mathematics – Optimization and Control

Scientific paper

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Scientific paper

The ubiquity of PID controllers in the industry has remained mysterious until
now. We provide here a mathematical explanation of this strange phenomenon by
comparing their sampling with the the one of "intelligent" PID controllers,
which were recently introduced. Some computer simulations nevertheless confirm
the superiority of the new intelligent feedback design.

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