Title | ||
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A LMI condition for the Robustness of Linear Predictor Feedback with Respect to Time-Varying Input Delays. |
Abstract | ||
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This paper discusses the robustness of the predictor feedback in the case of an unknown time varying 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 a LMI-based sufficient condition ensuring the asymptotic 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. |
Year | Venue | DocType |
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2019 | arXiv: Optimization and Control | Journal |
Volume | Citations | PageRank |
abs/1902.07778 | 0 | 0.34 |
References | Authors | |
12 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Lhachemi, H. | 1 | 22 | 8.90 |
Christophe Prieur | 2 | 1037 | 129.96 |
Robert Shorten | 3 | 293 | 60.79 |