Title :
A way to improve results for the stabilization of continuous-time fuzzy descriptor models
Author :
Guerra, Thierry-Marie ; Bernal, Miguel ; Kruszewski, Alexandre ; Afroun, Mohamed
Author_Institution :
Univ. of Valenciennes, Valenciennes
Abstract :
This paper presents a new fuzzy Lyapunov function approach for stabilization and Hinfin performance of a class of continuous-time Takagi-Sugeno fuzzy control systems in the descriptor form. The relaxation here provided includes and outperforms the existent quadratic approach. In addition, it renders in terms of linear matrix inequalities (LMIs) and does not deal with time-derivatives of membership functions. Two examples are here provided to illustrate these advantages.
Keywords :
Hinfin control; Lyapunov methods; continuous time systems; fuzzy control; linear matrix inequalities; stability; Hinfin control; LMI; Lyapunov function; continuous-time Takagi-Sugeno fuzzy control system; linear matrix inequalities; stabilization; Control system synthesis; EMP radiation effects; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Mechanical systems; Stability analysis; Takagi-Sugeno model; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434726