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  • 标题:Robustness of Constant-Delay Predictor Feedback with Respect to Distinct Uncertain Time-Varying Input Delays ⁎
  • 本地全文:下载
  • 作者:Hugo Lhachemi ; Christophe Prieur ; Robert Shorten
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:7677-7682
  • DOI:10.1016/j.ifacol.2020.12.1511
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis 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.
  • 关键词:KeywordsTime-varying delay controlPredictor feedbackRobust stabilityPartial Differential Equations (PDEs)Boundary control
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