Robust $\mathcal{L}_{2}$ Control for Uncertain T-S Descriptor Model with Input Saturation

Ines Righi (1) , Sabrina Aouaouda (1) , Mohammed Chadli (2) , Khaled Khelil (1)

1 Laboratory of Electrotechnic and Renewable Energy
2 IBISC - Informatique, BioInformatique, Systèmes Complexes

This paper concerned with the stabilization of uncertain discrete-time descriptor models subject to input saturation and external disturbances. The design control strategy is based on Takagi-Sugeno (T-S) approach and a non parallel distributed compensation control law. To synthesis the fuzzy controller, the stability conditions are derived using non-quadratic Lyapunov functions with respect to the given saturation constraint on the control input and achieving a guaranteed L2-gain performance. The optimization problem is formulated in terms of linear matrix inequalities (LMIs). Numerical example illustrates the efficiency of the proposed approaches.

Mots clés: Actuator saturation; Disturbances; L2-gain; Linear matrix inequalities (LMIs); Lyapunov method; Takagi-Sugeno; Uncertain descriptor models

Domaines: Automatique / Robotique

Ines Righi, Sabrina Aouaouda, Mohammed Chadli, Khaled Khelil. Robust $\mathcal{L}_{2}$ Control for Uncertain T-S Descriptor Model with Input Saturation. 28th Mediterranean Conference on Control and Automation (MED 2020), Sep 2020, Saint-Raphaël, France. pp.428-433, ⟨10.1109/MED48518.2020.9183083⟩. ⟨hal-02970545⟩