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Article Dans Une Revue Systems and Control Letters Année : 2020

Exponential Input-to-State Stabilization of a Class of Diagonal Boundary Control Systems with Delay Boundary Control

Résumé

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and time-varying. The proposed control strategy consists in a constant-delay predictor feedback controller designed on a truncated finite-dimensional model capturing the unstable modes of the original infinite-dimensional system. We show that the resulting closed-loop system is exponential input-to-state stable with fading memory of both additive boundary input perturbations and disturbances in the computation of the predictor feedback.
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Dates et versions

hal-02956446 , version 1 (02-10-2020)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

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Hugo Lhachemi, Robert Shorten, Christophe Prieur. Exponential Input-to-State Stabilization of a Class of Diagonal Boundary Control Systems with Delay Boundary Control. Systems and Control Letters, 2020, 138, pp.104651. ⟨10.1016/j.sysconle.2020.104651⟩. ⟨hal-02956446⟩
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