A LMI condition for the Robustness of Linear Predictor Feedback with Respect to Time-Varying Input Delays
Lhachemi, Hugo ; Prieur, Christophe ; Shorten, Robert
arXiv, Tome 2019 (2019) no. 0, / Harvested from
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.
Publié le : 2019-02-20
Classification:  Mathematics - Optimization and Control,  Electrical Engineering and Systems Science - Systems and Control 
@article{1902.07778,
     author = {Lhachemi, Hugo and Prieur, Christophe and Shorten, Robert},
     title = {A LMI condition for the Robustness of Linear Predictor Feedback with
  Respect to Time-Varying Input Delays},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1902.07778}
}

Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert. A LMI condition for the Robustness of Linear Predictor Feedback with
  Respect to Time-Varying Input Delays. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1902.07778/