Title :
Relaxed Stabilization of controlled positive discrete-time T-S fuzzy systems
Author :
Benzaouia, Abdellah ; Hajjaji, A.E. ; Hmamed, Abdelaziz
Author_Institution :
LAEPT-EACPI, Univ. Cadi Ayyad, Marrakech, Morocco
Abstract :
This paper deals with sufficient conditions of asymptotic stability for non linear discrete-time systems represented by Takagi-Sugeno type fuzzy model with restricted sign state. This work is based on multiple Lyapunov functions by using state feedback control. The results are presented in LMIs form. Non PDC techniques with slack variables and PDC techniques with cone complementarity are used to obtain less conservative results.
Keywords :
Asymptotic stability; Fuzzy systems; Lyapunov method; Nonlinear systems; PD control; State feedback; LMIs; Nonlinear systems; Takagi-Sugeno fuzzy model; discrete-time systems; multiple Lyapunov functions; positive systems;
Conference_Titel :
Control & Automation (MED), 2010 18th Mediterranean Conference on
Conference_Location :
Marrakech, Morocco
Print_ISBN :
978-1-4244-8091-3
DOI :
10.1109/MED.2010.5547851