Abstract: A process control system controls a process through a control output signal based on a set point and a measured process variable. The process control system includes a control circuit having a set point input, a process variable input and a control output. The control circuit generates the control output signal on the control output as a function of the set point received on the set point input and the measured process variable received on the process variable input. An auto-tuning circuit excites the process, estimates a process model based on a rising dead time, a rising rate-of-change, a falling dead time and a falling rate-of-change in the measured process variable and then tunes the control function to the process based on the process model. The auto-tuning circuit obtains robust results, but is computationally simple such that the circuit can be implemented with hardware or software in low-power and low-memory applications, such as in such in field-mounted control units.