Stability and stabilisability of continuous Takagi-Sugeno systems - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2001

Stability and stabilisability of continuous Takagi-Sugeno systems

Résumé

This paper discusses conditions on stability and stabilization of continuous T-S fuzzy systems. Stability analysis is derived via non-quadratic Lyapunov function technique and LMIs (Linear Matrix Inequalities) formulation to obtain an efficient solution. The non-quadratic Lyapunov function is built by inference of quadratic Lyapunov function of each local model. We show that stability condition of the open-loop T-S systems is assured under certain restrictions on the rate of change of state variables. Following a similar approach, stabilization of the closed-loop continuous T-S fuzzy systems using the well-known PDC (Parallel Distributed Compensation) technique is investigated. The design methodology is illustrated by numerical examples.

Domaines

Automatique
Fichier principal
Vignette du fichier
Chadli_JDA_2001.pdf (225.75 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00980988 , version 1 (21-04-2014)

Identifiants

  • HAL Id : hal-00980988 , version 1

Citer

Mohammed Chadli, Didier Maquin, José Ragot. Stability and stabilisability of continuous Takagi-Sugeno systems. Journées Doctorales d'Automatique, JDA 2001, Sep 2001, Toulouse, France. pp.CDROM. ⟨hal-00980988⟩
130 Consultations
353 Téléchargements

Partager

Gmail Facebook X LinkedIn More