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Mathematical Problems in Engineering
Volume 2014, Article ID 676121, 14 pages
Research Article

Design of Fuzzy Fractional PD + I Controllers Tuned by a Genetic Algorithm

Department of Electrical Engineering, Institute of Engineering/Polytechnic of Porto (ISEP/IPP), GECAD, Knowledge Engineering and Decision Support Research Center, 4200-072 Porto, Portugal

Received 28 October 2013; Revised 25 March 2014; Accepted 8 April 2014; Published 7 May 2014

Academic Editor: Jyh-Hong Chou

Copyright © 2014 Isabel S. Jesus and Ramiro S. Barbosa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The fractional-order concepts are a useful tool to describe several physical phenomena, and nowadays they are widely used in the field of automatic control. A genetic algorithm (GA) is a search process for finding approximate solutions in optimization problems. The GA provides further flexibility and robustness that are unique for signal process. In this paper we consider the development of an optimal fuzzy fractional PD + I controller in which the parameters are tuned by a GA. The performance of the proposed fuzzy fractional control is illustrated through some application examples.