Robust stabilization of nonlinear systems based on a switched fuzzy control law

Dalel Jabri (1) , Kevin Guelton (1) , Noureddine Manamanni (1) , Abdelhafidh Jaadari (2) , Cuong-Duong Chinh (1)

1 CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper deals with robust stabilization of nonlinear systems represented by uncertain and disturbed switched Takagi-Sugeno fuzzy systems. First, stabilization of uncertain switched fuzzy systems is considered without external disturbances. A stabilization criterion is proposed as sufficient Linear Matrix Inequality (LMI) conditions. These ones allow designing a switched parallel distributed compensation fuzzy control law based on a candidate switched Lyapunov function. Then, an extension to systems subject to external disturbances is provided based on a H-infinity criterion. To illustrate the effectiveness of the proposed stabilization criterion and controller design approaches, a designed numerical example is studied and some simulations are provided.

Mots clés: Switched fuzzy models; Takagi-Sugeno; uncertainties; external disturbances; switched PDC control law; Linear Matrix Inequalities (LMI); switched Lyapunov function.; switched Lyapunov function

Domaines: Automatique

Dalel Jabri, Kevin Guelton, Noureddine Manamanni, Abdelhafidh Jaadari, Cuong-Duong Chinh. Robust stabilization of nonlinear systems based on a switched fuzzy control law. Journal of Control Engineering and Applied Informatics, 2012, 14 (2), pp.40-49. ⟨hal-00793243⟩