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Article Dans Une Revue IEEE Control Systems Letters Année : 2023

A Data-Driven Approach to the L2 Stabilization of Linear Systems Subject to Input Saturations

Résumé

This letter revisits the L2 stabilization problem for linear systems subject to saturating input and energy-bounded additive disturbance from a data-driven point of view. The backbone of the results resides in writing the stability conditions in a compact dedicated structure allowing to exhibit LMI conditions. Based on the assumption that the data collection is informative, the finite L2 -gain stabilization of the closed-loop system is addressed by considering a static state-feedback control law. Then, the L2 -gain of the closed loop and an inner-approximation of the basin of attraction of the origin for the disturbance-free closed-loop system are characterized. The potential of the method is discussed along the treatment of an academic example.
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Dates et versions

hal-04203667 , version 1 (11-09-2023)

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Alexandre Seuret, Sophie Tarbouriech. A Data-Driven Approach to the L2 Stabilization of Linear Systems Subject to Input Saturations. IEEE Control Systems Letters, 2023, 7, pp.1646-1651. ⟨10.1109/LCSYS.2023.3267022⟩. ⟨hal-04203667⟩
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