Stabilization of nonlinear systems subject to actuator saturation

Souad Bezzaoucha (1) , Benoît Marx (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper adresses the stabilization of nonlinear systems described by Takagi-Sugeno models affected by input actuator saturation. A parallel distributed compensation design is used for the state feedback controller. Stabilization conditions in the sense of the Lyapunov method are derived and expressed as a linear matrix inequality problem. The obtained gains depend on the actuator saturation limits. A cart-pendulum example is presented to illustrate the effectiveness of the proposed approach.

Domaines: Automatique

Souad Bezzaoucha, Benoît Marx, Didier Maquin, José Ragot. Stabilization of nonlinear systems subject to actuator saturation. International Conference on Fuzzy System, FUZZ 2013, Jul 2013, Hyderabad, India. pp.889-894. ⟨hal-00812955⟩