Title :
LMI conditions for non-quadratic stabilization of T-S models with pole placement assignation
Author :
Cherifi, Abdelmadjid ; Guelton, Kevin ; Arcese, Laurent
Author_Institution :
CReSTIC EA3804, Univ. de Reims Champagne-Ardenne, Reims, France
Abstract :
This paper presents new non-Parallel-Distributed-Compensation (non-PDC) controllers design conditions for continuous-time Takagi-Sugeno (T-S) models with pole placement assignation. Based on the D-stability concept, a desired transient response may be obtained by placing the poles of the T-S closed-loop system in a specific region of the complex plan. After deriving standard non-quadratic D-stability conditions for the T-S closed-loop system, new relaxed LMI-based conditions are obtained from enhanced Fuzzy Lyapunov Functions (FLF), which involve a double sum fuzzy structure. The effectiveness of the proposed result is illustrated in simulation through the benchmark of a flexible robot with single joint.
Keywords :
Lyapunov methods; closed loop systems; compensation; continuous time systems; control system synthesis; fuzzy control; fuzzy set theory; linear matrix inequalities; pole assignment; stability; transient response; D-stability condition; FLF; LMI condition; T-S closed-loop system; T-S model; continuous-time Takagi-Sugeno model; fuzzy Lyapunov function; linear matrix inequalities; non-PDC controller design; nonparallel-distributed-compensation; nonquadratic stabilization; pole placement assignation; transient response; Closed loop systems; Context; Joints; Lyapunov methods; Robots; Stability analysis; Standards;
Conference_Titel :
Control, Engineering & Information Technology (CEIT), 2015 3rd International Conference on
Conference_Location :
Tlemcen
DOI :
10.1109/CEIT.2015.7233080
