Back to Search
Start Over
An LMI Condition for the Robustness of Constant-Delay Linear Predictor Feedback with Respect to Uncertain Time-Varying Input Delays
- Source :
- Automatica, Volume 109, November 2019, 108551
- Publication Year :
- 2019
-
Abstract
- 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.<br />Comment: Published in Automatica as a brief paper
Details
- Database :
- arXiv
- Journal :
- Automatica, Volume 109, November 2019, 108551
- Publication Type :
- Report
- Accession number :
- edsarx.1902.07778
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.automatica.2019.108551