On the stabilization of continuous Takagi Sugeno fuzzy systems using discrete control approach

A. Ellouze (1) , Jimmy Lauber (2) , François Delmotte (3) , Mohamed Chtourou (1)

1 ENIS - École Nationale d'Ingénieurs de Sfax | National School of Engineers of Sfax
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
3 LGI2A - Laboratoire de Génie Informatique et d'Automatique de l'Artois

This paper deals with the control of the continuous Takagi Sugeno (TS) fuzzy models using discrete control approach. This approach is structured as follows: first, a discrete model is obtained from the discretization of the continuous TS fuzzy model. In this case, the Euler discretization is used for order of approximation superior to one. Second the gains of a non PDC control law ensuring the stabilization of the discrete model are determined. Third by keeping the values of the gains, we check by simulation the stability of the continuous TS fuzzy models through the zero order hold. In this case, the effect of the discretization step on the continuous TS fuzzy models stability results is studied. Simulation example illustrates the effectiveness of this approach

Mots clés: "continuous Takagi Sugeno (TS) fuzzy models"; "control"; "discrete control approach"; "Euler Discretization"; "non PDC control law"

Domaines: Automatique / Robotique

A. Ellouze, Jimmy Lauber, François Delmotte, Mohamed Chtourou. On the stabilization of continuous Takagi Sugeno fuzzy systems using discrete control approach. 2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), Dec 2014, Hammamet, Tunisia. pp.53-58, ⟨10.1109/STA.2014.7086739⟩. ⟨hal-03663321⟩