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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 721537, 11 pages
http://dx.doi.org/10.1155/2014/721537
Research Article

Robust Switched Control Design for Nonlinear Systems Using Fuzzy Models

1Department of Academic Areas of Jataí, Federal Institute of Education, Science and Technology of Goiás (IFG), Campus Jataí, 75804-020 Jataí, GO, Brazil
2Department of Electrical Engineering, Univ Estadual Paulista, Campus of Ilha Solteira (UNESP), 15385-000 Ilha Solteira, SP, Brazil
3Department of Academic Areas of Januária, Federal Institute of Education, Science and Technology of Norte of Minas Gerais (IFNMG), Campus Januária, 39480-000 Januária, MG, Brazil

Received 14 March 2014; Revised 8 May 2014; Accepted 22 May 2014; Published 19 June 2014

Academic Editor: Guangming Xie

Copyright © 2014 Wallysonn Alves de Souza 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

The paper proposes a new switched control design method for some classes of uncertain nonlinear plants described by Takagi-Sugeno fuzzy models. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology eliminates the need to find the membership function expressions to implement the control laws. The control designs of a ball-and-beam system and of a magnetic levitator illustrate the procedure.