Title :
New condition of stabilization for continuous Takagi-Sugeno fuzzy system based on fuzzy Lyapunov function
Author :
Bouyahya, Ali ; Manai, Yassine ; Haggege, Joseph
Author_Institution :
LA.R.A. Autom., Ecole Nat. d´Ing. de Tunis, Tunis, Tunisia
Abstract :
This paper try to give a new stabilization condition of continuous Takagi-Sugeno fuzzy models. Using non-quadratic Lyapunov function, the new condition of stabilization are used in terms of linear matrix inequalities LMIs. To verify the robustness of this new condition, a numeric example is used.
Keywords :
Lyapunov methods; continuous systems; fuzzy systems; linear matrix inequalities; stability; LMI; continuous Takagi-Sugeno fuzzy system; fuzzy Lyapunov function; linear matrix inequalities; nonquadratic Lyapunov function; stabilization condition; Biological system modeling; Equations; Lyapunov methods; Mathematical model; PD control; Symmetric matrices; Takagi-Sugeno model; Fuzzy Lyapunov Function; Linear Matrix Inequalities LMIs; Parallel Distributed Controller PDC; Takagi-Sugeno fuzzy system;
Conference_Titel :
Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-6302-0
DOI :
10.1109/ICEESA.2013.6578391
