Title :

A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models

Author(s) :

Bernal, Miguel [Auteur]
Guerra, Thierry-Marie [Auteur correspondant]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Kruszewski, Alexandre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]

Journal title :

Fuzzy Sets and Systems

Pages :

2776-2795

Publisher :

Elsevier

Publication date :

2009-10

ISSN :

0165-0114

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

This paper presents a new approach for stability analysis and controller design of Takagi–Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. ...
Show more >This paper presents a new approach for stability analysis and controller design of Takagi–Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise Lyapunov functions (PWLF) arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expressed as linear matrix inequalities (LMIs) facilitating the inclusion of performance design. Examples are provided to show the advantages over the classical quadratic approach.Show less >

Language :

Anglais

Popular science :

Non

Collections :

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

Source :

Harvested from HAL