Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 731298, 17 pages
Research Article

Design of a Takagi-Sugeno Fuzzy Regulator for a Set of Operation Points

1Department of Electrical Engineering, Universidade Estadual Paulista (UNESP), Campus de Ilha Solteira, 15385-000 Ilha Solteira, SP, Brazil
2Department of Academic Areas of Jataí, Federal Institute of Education (IFG), Science and Technology of Goiás, Câmpus Jataí, 75804-020 Jataí, GO, Brazil

Received 2 December 2011; Revised 19 March 2012; Accepted 5 April 2012

Academic Editor: Pedro Ribeiro

Copyright © 2012 Máira P. A. Santim 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.


The paper proposes a new design method based on linear matrix inequalities (LMIs) for tracking constant signals (regulation) considering nonlinear plants described by the Takagi-Sugeno fuzzy models. The procedure consists in designing a single controller that stabilizes the system at operation points belonging to a certain range or region, without the need of remaking the design of the controller gains at each new chosen equilibrium point. The control system design of a magnetic levitator illustrates the proposed methodology.