Titre :

Predictor-feedback prescribed-time stabilization of LTI systems with input delay

Auteur(s) :

Espitia, Nicolas [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Perruquetti, Wilfrid [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Titre de la revue :

IEEE Transactions on Automatic Control

Éditeur :

Institute of Electrical and Electronics Engineers

Date de publication :

2021

ISSN :

0018-9286

Mot(s)-clé(s) en anglais :

Infinite dimensional systems
delay systems
prescribed-time convergence
backstepping control design

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

This paper deals first with the problem of prescribed-time stability of linear systems without delay. The analysis and design involve the Bell polynomials, the generalized Laguerre polynomials, the Lah numbers and a suitable ...
Lire la suite >This paper deals first with the problem of prescribed-time stability of linear systems without delay. The analysis and design involve the Bell polynomials, the generalized Laguerre polynomials, the Lah numbers and a suitable polynomialbased Vandermonde matrix. The results can be used to design a new controller-with time-varying gains-ensuring prescribedtime stabilization of controllable LTI systems. The approach leads to similar results compared to Holloway et al. 2019 but offers an alternative and compact control design (specially for the choice of the time-varying gains). Based on the preliminary results for the delay-free case, we then study controllable LTI systems with single input and subject to a constant input delay. We design a predictor feedback with time-varying gains. To achieve this, we model the input delay as a transport PDE and build on the cascade PDE-ODE setting (inspired by Krstic. 2009) so as the design of the prescribed-time predictor feedback is carried out based on the backstepping approach which makes use of timevarying kernels. We guarantee the bounded invertibility of the backstepping transformation and we prove that the closed-loop solution converges to the equilibrium in a prescribed-time. A simulation example illustrates the results.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Commande et estimation en temps fini pour les Systèmes de Systèmes

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL