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

Abstract : 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.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-02970545
Contributor : Frédéric Davesne <>
Submitted on : Sunday, October 18, 2020 - 5:19:40 PM
Last modification on : Tuesday, October 20, 2020 - 3:27:52 AM

### Citation

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⟩

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