More mathematical information can be found on Wikipedia. I am going to use the Arduino PID library to control the temperature of my Rancilio Silvia coffee machine. What is a PID controller? A proportional-integral-derivative controller (or just PID controller) is used to regulate speed, temperature, pressure or other process variable with high accuracy and stable results.
Make sure to disconnect the machine from the power line before working on it. Any modification to the machine might void the manufacturer warranty. Any modification to it might be fatal to you or your machine, you act at your own risk and responsible for your modification.
Warning The Rancilio Silvia machine runs on high voltage.
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