State feedback control and delay estimation for LTI systems with unknown input-delay

Yang Deng (1, 2) , Vincent Léchappé (3) , Emmanuel Moulay (4, 5) , Franck Plestan (1, 2)

1 LS2N - Laboratoire des Sciences du Numérique de Nantes
2 LS2N - équipe Commande - Commande
3 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
4 XLIM-SRI - Systèmes et Réseaux Intelligents
5 UP - Université de Poitiers = University of Poitiers

The objective of this paper is to build feedback control solutions for LTI systems with unknown constant input-delay. The control scheme includes a time-delay estimation algorithm and a predictor-based controller. The Lyapunov-Krasovskii theorem provides the global exponential stability of the closed-loop system. Some examples illustrate the theoretical results and the performances of the proposed method.

Mots clés: predictor-based controller; delay estimation; Lyapunov-Krasovskii functional; Time-delay system

Domaines: Automatique / Robotique

Yang Deng, Vincent Léchappé, Emmanuel Moulay, Franck Plestan. State feedback control and delay estimation for LTI systems with unknown input-delay. International Journal of Control, 2021, 94 (9), pp.2369-2378. ⟨10.1080/00207179.2019.1707288⟩. ⟨hal-02422579⟩