All of the major tuning methods end up with the same expressions for PID gain, reset time, and rate time when the tuning objective is maximum disturbance rejection. Differences come down to tweaking of the a, b, and c coefficients. Furthermore the use of external-reset feedback (dynamic reset limit), and options such as a setpoint filter, setpoint rate limit, and an enhanced PID for wireless eliminate the need to retune for different objectives.
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