Design of PI controllers for achieving time and frequency domain specifications simultaneously

Area of Science:

• Control Systems Engineering
• Automation and Process Control

Background:

• Achieving desired performance in control systems often involves balancing conflicting frequency and time domain specifications.
• Traditional PI controller design methods may not effectively address simultaneous optimization of these measures.

Purpose of the Study:

• To propose a systematic and user-friendly method for designing Proportional-Integral (PI) controllers.
• To enable simultaneous achievement of specified frequency domain (gain/phase margins) and time domain (settling time/overshoot) performance metrics.

Main Methods:

• A graphical design approach is presented, relating required performance values to PI controller parameters.
• Performance measures, including gain margin, phase margin, settling time, and overshoot, are defined upfront.
• The method utilizes graphical relations to identify suitable PI controller parameters.

Main Results:

• A set of PI controllers meeting predefined performance specifications can be determined.
• The proposed method offers an effective and straightforward way to design PI controllers.
• Illustrative examples demonstrate the practical benefits and efficacy of the presented design technique.

Conclusions:

• The developed graphical method provides a systematic solution for PI controller design.
• It facilitates the simultaneous attainment of critical frequency and time domain performance criteria.
• The approach is effective and simple to apply, offering significant advantages in control system design.