Article Dans Une Revue IEEE Control Systems Letters Année : 2019

Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control

Résumé

Recently, a predictor feedback control strategy has been reported for the feedback stabilization of a class of infinite-dimensional Riesz-spectral boundary control systems exhibiting a finite number of unstable modes by means of a delay boundary control. Nevertheless, for real abstract boundary control systems exhibiting eigenstructures defined over the complex field, the direct application of such a control strategy requires the embedding of the control problem into a complexified state-space which yields a complex-valued control law. This letter discusses the realification of the control law, i.e., the modification of the design procedure for obtaining a real-valued control law for the original real abstract boundary control system. The obtained results are applied to the feedback stabilization of an unstable Euler-Bernoulli beam by means of a delay boundary control.

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hal-02368029 , version 1 (25-02-2025)

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Hugo Lhachemi, Robert Shorten, Christophe Prieur. Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control. IEEE Control Systems Letters, 2019, 3 (4), pp.930-935. ⟨10.1109/LCSYS.2019.2919309⟩. ⟨hal-02368029⟩
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