Title :
Design of Multiple-Parameterisation PDC Controllers via Relaxed Conditions for Multi-Dimensional Fuzzy Summations
Author :
Arino, Carlos ; Sala, Antonio
Author_Institution :
Univ. Jaume I, Castello de la Plana
Abstract :
In this paper, fuzzy controllers extending the Takagi-Sugeno PDC framework are proposed. Instead of being linear in the membership functions, quadratically, cubically, etc. parameterised controllers can be dealt with using recent LMI stability and performance conditions. As a particular case, LMI stability conditions are devised in order to prove state-feedback stabilizability of Takagi-Sugeno fuzzy systems with controllers quadratic in the membership functions, and numerical examples are provided.
Keywords :
fuzzy control; fuzzy systems; linear matrix inequalities; stability; state feedback; LMI stability condition; Takagi-Sugeno PDC framework; fuzzy controller; multidimensional fuzzy summation; multiple-parameterisation PDC controller; state-feedback stabilizability; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Multidimensional systems; Nonlinear control systems; Nonlinear systems; Stability criteria; Systems engineering and theory; Takagi-Sugeno model; Takagi-Sugeno fuzzy systems; fuzzy control; linear matrix inequalities; nonlinear systems; stability criteria;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295495
