Title :
New controllers and new designs for continuous-time Takagi-Sugeno models
Author :
Jaadari, Abdelhafidh ; Guerra, Thierry Marie ; Sala, Antonio ; Bernal, Miguel ; Guelton, Kevin
Author_Institution :
Univ. of Valenciennes Hainaut-Cambresis, Valenciennes, France
Abstract :
This work presents a new non-PDC controller design based on different Lyapunov functions for continuous-time Takagi-Sugeno models. Based on this new control law and on Finsler´s lemma a new way to derive LMI constraints problems is presented. Both quadratic and non quadratic Lyapunov functions are under consideration. Some examples show the capability of outperforming existing results without increasing significantly the LMI problems.
Keywords :
Lyapunov methods; compensation; continuous time systems; control system synthesis; distributed control; functional equations; fuzzy systems; linear matrix inequalities; Finsler lemma; LMI constraint problems; continuous-time Takagi-Sugeno models; control law; nonPDC controller design; nonquadratic Lyapunov functions; parallel distributed compensation; quadratic Lyapunov functions; Bismuth; Linear matrix inequalities; Lyapunov methods; Observers; PD control; Takagi-Sugeno model; Vectors; Takagi-Sugeno models; linear matrix inequality; nonquadratic Lyapunov function; quadratic Lyapunov function;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6250789
