Dynamic analysis of the fractional PID controller

Abstract

Copyright © 2018 by SCITEPRESS – Science and Technology Publications, Lda. All rights reservedThis article presents as main objective the study and application of the fractional PID controller in a positioning system, a controller that has basis on the fractional calculus theory originated in 1695 and, despite having generated several paradoxes in the decade, nowadays there are important applications of this theory, as the one reported in this paper. Initially, the controller will be designed by means of computational simulation for the nominal model of a plant, using a program in Matlab and optimization algorithms and, then, applying in a real process using a data acquisition technique in order to analyse its dynamic behavior in the presence of real external disturbances. Given that the fractional PID is a generalization of the traditional PID, the goal is to obtain, in practice, the benefits of this one in relation to the another, mainly observing the requirements of robustness and stability that must be present in the system.