Tuning PID controller with multi-objective differential evolution

Abstract

This paper treats a tuning of PID controllers method using Multi-objective Differential Evolution. The objective was to apply the differential evolution algorithm in the aim of tuning the optimum solution of the PID controllers (K <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</sub> , K <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i</sub> and K <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">d</sub> ) by minimizing the multi-objective function. The potential of using Multi-objective Differential Evolution is to identify Pareto-optimal solution. A classic approach based on the Ziecgler-Nichols method is applied to make comparison. Simulation results demonstrate that the new tuning method using Multi-objective Differential Evolution has a better control system performance compared with the classic approach.