Title :
Stability and stabilization of positive Takagi-Sugeno fuzzy continuous systems with delay
Author :
Benzaouia, Abdellah ; Oubah, Rkia ; El Hajjaji, Ahmed ; Tadeo, Fernando
Author_Institution :
LAEPT URAC 28, Univ. Cadi Ayyad, Marrakech, Morocco
Abstract :
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied to show the advantages of the design procedure.
Keywords :
closed loop systems; delays; fuzzy set theory; linear programming; stability; LKF; LP; Lyapunov-Krasovskii functional; T-S fuzzy systems; closed-loop positivity; linear programming; positive Takagi-Sugeno fuzzy continuous systems; time delays; Asymptotic stability; Bismuth; Delay; Fuzzy systems; Linear programming; Stability analysis; Vectors; Linear programming; Lyapunov-Krasovskii functional; T-S fuzzy systems; positive systems; stabilization;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161173
