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

被引：7

作者：

Seuret, Alexandre ^{[1
]}

Tarbouriech, Sophie ^{[2
]}

机构：

[1] Univ Seville, Dept Ingn Sistemas & Automat, Seville 41092, Spain

[2] Univ Toulouse, CNRS, LAAS, F-CNRS Toulouse, France

来源：

IEEE CONTROL SYSTEMS LETTERS | 2023年 / 7卷

关键词：

Symmetric matrices; Closed loop systems; Linear systems; Linear matrix inequalities; Data collection; Uncertainty; Stability criteria; Data driven control; Robust control; saturated systems;

D O I：

10.1109/LCSYS.2023.3267022

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter revisits the L-2 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 L-2 -gain stabilization of the closed-loop system is addressed by considering a static state-feedback control law. Then, the L-2 -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.

引用

页码：1646 / 1651

页数：6

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