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Mathematical Problems in Engineering
Volume 2012, Article ID 973082, 18 pages
http://dx.doi.org/10.1155/2012/973082
Research Article

Fuzzy Control of DC-DC Converters with Input Constraint

1LAMEL, Faculty of Science and Technology, University of Jijel, BP. 98, Ouled Aissa, 18000 Jijel, Algeria
2MIS (EA 4290), Université de Picardie Jules Verne, Rue du Moulin Neuf, 80000 Amiens, France
3Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Received 6 June 2012; Accepted 9 September 2012

Academic Editor: Peng Shi

Copyright © 2012 D. Saifia et al. 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.

Abstract

This paper proposes a method for designing fuzzy control of DC-DC converters under actuator saturation. Because linear control design methods do not take into account the nonlinearity of the system, a T-S fuzzy model and a controller design approach is used. The designed control not only handles the external disturbance but also the saturation of duty cycle. The input constraint is first transformed into a symmetric saturation which is represented by a polytopic model. Stabilization conditions for the state feedback system of DC-DC converters under actuator saturation are established using the Lyapunov approach. The proposed method has been compared and verified with a simulation example.