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Mathematical Problems in Engineering
Volume 2014, Article ID 698250, 7 pages
Research Article

Optimal Control of a PEM Fuel Cell for the Inputs Minimization

1Sección de Estudios de Posgrado e Investigación, ESIME Azcapotzalco, Instituto Politécnico Nacional, Avenida de las Granjas 682, Colonia Santa Catarina, 02250 México D.F., Mexico
2Centro de Investigación e Inovación Tecnológica, Instituto Politécnico Nacional, Cerrada Cecaty s/n, Colonia Santa Catarina, 02250 México D.F., Mexico

Received 26 December 2013; Revised 5 February 2014; Accepted 10 February 2014; Published 19 March 2014

Academic Editor: Mingcong Deng

Copyright © 2014 José de Jesús Rubio and Adrian Gustavo Bravo. 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 trajectory tracking problem of a proton exchange membrane (PEM) fuel cell is considered. To solve this problem, an optimal controller is proposed. The optimal technique has the objective that the system states should reach the desired trajectories while the inputs are minimized. The proposed controller uses the Hamilton-Jacobi-Bellman method where its Riccati equation is considered as an adaptive function. The effectiveness of the proposed technique is verified by two simulations.