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Communication Dans Un Congrès Année : 2020

Robustness of Constant-Delay Predictor Feedback with Respect to Distinct Uncertain Time-Varying Input Delays

Résumé

This paper addresses the robustness of the constant-delay predictor feedback in the case of distinct and uncertain time-varying input delays. Specifically, we consider the case of a predictor feedback that is designed based on the knowledge of the nominal value of the time-varying delay in each control input channel. We derive an LMI-based sufficient condition ensuring the exponential stability of the closed-loop system for small enough variations of the distinct time-varying input delays around their nominal value. Then we apply these results to the feedback stabilization of a class of diagonal infinite-dimensional boundary control systems exhibiting distinct time-varying delays in the boundary control inputs.
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Dates et versions

hal-02958094 , version 1 (05-10-2020)

Identifiants

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Hugo Lhachemi, Christophe Prieur, Robert Shorten. Robustness of Constant-Delay Predictor Feedback with Respect to Distinct Uncertain Time-Varying Input Delays. IFAC WC 2020 - 21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. ⟨10.1016/j.ifacol.2020.12.1511⟩. ⟨hal-02958094⟩
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