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This is a PID thermostat for the arduino. It supports independent tuning parameters for multiple hardware 'profiles', and includes an autotune mode to estimate the PID parameters for a given setpoint.

Abstract: This paper presents the development of a Arduino based Proportional-Integral-Derivative (PID) temperature control system using an Arduino UNO, R-type thermocouple, and solid-state relay (SSR ...

Abstract: The most widely used control strategy in industry is proportional integral derivative (PID) controller. The popularity of PID controllers can be attributed partly to their robust performance ...