期刊
AUTOMATICA
卷 109, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.108551
关键词
Time-varying delay control; Predictor feedback; Robust stability; PDEs; Boundary control
资金
- Science Foundation Ireland (SFI) [16/RC/3872]
- European Regional Development Fund
This paper discusses the robustness of the constant-delay predictor feedback in the case of an uncertain time-varying input delay. Specifically, we study the stability of the closed-loop system when the predictor feedback is designed based on the knowledge of the nominal value of the time-varying delay. By resorting to an adequate Lyapunov-Krasovskii functional, we derive an LMI-based sufficient condition ensuring the exponential stability of the closed-loop system for small enough variations of the time-varying delay around its nominal value. These results are extended to the feedback stabilization of a class of diagonal infinite-dimensional boundary control systems in the presence of a time-varying delay in the boundary control input. (C) 2019 Elsevier Ltd. All rights reserved.
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