Title :

Output feedback LMI tracking control conditions with H∞ criterion for uncertain and disturbed T–S models

Author(s) :

Mansouri, Badr [Auteur]
Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 [CRESTIC]
Manamanni, Noureddine [Auteur]
Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 [CRESTIC]
Guelton, Kevin [Auteur]
Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 [CRESTIC]
Kruszewski, Alexandre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Guerra, Thierry-Marie [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]

Journal title :

Information Sciences

Pages :

446-457

Publisher :

Elsevier

Publication date :

2009-02-01

ISSN :

0020-0255

English keyword(s) :

Quadratic stability
H∞ criterion
Tracking control
Output feedback
Fuzzy Takagi-Sugeno models
Linear matrix inequality (LMI)

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

This work concerns the tracking problem of uncertain Takagi-Sugeno (T-S) continuous fuzzy model with external disturbances. The objective is to get a model reference based output feedback tracking control law. The control ...
Show more >This work concerns the tracking problem of uncertain Takagi-Sugeno (T-S) continuous fuzzy model with external disturbances. The objective is to get a model reference based output feedback tracking control law. The control scheme is based on a PDC structure, a fuzzy observer and a H∞ performance to attenuate the external disturbances. The stability of the whole closed-loop model is investigated using the well-known quadratic Lyapunov function. The key point of the proposed approaches is to achieve conditions under a LMI (linear matrix inequalities) formulation in the case of an uncertain and disturbed T-S fuzzy model. This formulation facilitates obtaining solutions through interior point optimization methods for some nonlinear output tracking control problems. Finally, a simulation is provided on the well-known inverted pendulum testbed to show the efficiency of the proposed approach.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL