Analytical Design Method of PI Regulators for First Order Plants Control

In this paper we propose a designing method for proportional-integral (PI) regulators to control first order plants. It’s based on the analytical expression of the control loop temporal response for a step input, obtained by using inverse Laplace transform. For the application of this method, the desired peak time and maximum overshoot are set as design specifications. The proposed design method is compared with a pole placement method, and adjustments are made to meet design specifications with a discrete implementation of the regulator. Finally, we shown the actual application and performance of this method in a direct current electric drive control