Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 836814, 18 pages
Review Article

Robust Stabilization for Continuous Takagi-Sugeno Fuzzy System Based on Observer Design

LA.R.A. Automatic, National Engineering School of Tunis, University of Tunis-ElManar, BP 37 Belvedere, 1002 Tunis, Tunisia

Received 30 June 2012; Revised 19 September 2012; Accepted 19 September 2012

Academic Editor: Mohammed Chadli

Copyright © 2012 Yassine Manai and Mohamed Benrejeb. 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.


This paper investigates the influence of a new parallel distributed controller (PDC) on the stabilization region of continuous Takagi-Sugeno (T-S) fuzzy models. Using a nonquadratic Lyapunov function, a new sufficient stabilization criterion is established in terms of linear matrix inequality. The criterion examines the derivative membership function; an approach to determine state variables is given based on observer design. In addition, a stabilization condition for uncertain system is given. Finally, numeric simulation is given to validate the developed approach.