Closed-loop step response for tuning PID-fractional-order-filter controllers.

Area of Science:

• Control Engineering
• Process Control
• Automation Systems

Background:

• Traditional tuning of fractional controllers relies on complex analytical methods.
• The PID-Fractional-Order-Filter (FOF-PID) controller offers advanced control capabilities.
• Model-based tuning rules, like Internal Model Control (IMC), require a plant model.

Purpose of the Study:

• To propose an empirical, model-free tuning method for the FOF-PID controller.
• To adapt the setpoint overshoot method for tuning the FOF-PID controller.
• To demonstrate the effectiveness and advantages of the proposed tuning approach.

Main Methods:

• Adaptation of the setpoint overshoot method for FOF-PID controller tuning.
• Derivation of correlations from simulations of first-order plus time-delay processes.
• Comparison with Internal Model Control (IMC) tuning and other relevant techniques.

Main Results:

• The proposed empirical method yields FOF-PID controller parameters comparable to IMC.
• The method requires only a single closed-loop step response experiment with a P-controller.
• Performance is validated through various case studies, showing comparable or superior results to IMC.

Conclusions:

• The adapted setpoint overshoot method provides an effective, model-free tuning solution for FOF-PID controllers.
• This empirical approach simplifies controller tuning by directly using experimental data.
• The method offers practical advantages, eliminating the need for explicit plant model identification.