Conditions of output stabilization for nonlinear models in the Takagi–Sugeno's form

Thierry-Marie Guerra (1) , Alexandre Kruszewski (2) , Laurent Vermeiren , H. Tirmant

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
2 EPHYSE - Écologie fonctionnelle et physique de l'environnement

This paper deals with the control law design with an observer for models in the Takagi–Sugeno's (TS) form in the general case where the nonlinearities and the variables involved are not measurable. The results presented in this paper give sufficient conditions of stabilization for the global loop, i.e. TS model stabilized with a state feedback and a fuzzy observer. Conditions are given in the form of linear matrix inequalities (LMI) problem.

Mots clés: Fuzzy control; Takagi–Sugeno models; Output stabilization; LMI; Nonmeasurable premises

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Thierry-Marie Guerra, Alexandre Kruszewski, Laurent Vermeiren, H. Tirmant. Conditions of output stabilization for nonlinear models in the Takagi–Sugeno's form. Fuzzy Sets and Systems, 2006, 157 (9), pp.1248-1259. ⟨10.1016/j.fss.2005.12.006⟩. ⟨hal-02446393⟩