Prescribed-time predictor control of LTI systems with input delay

Nicolás Espitia (1, 2) , Wilfrid Perruquetti (3, 4)

1 CRISTAL - Centre de Recherche Réseau Image SysTème Architecture et MuLtimédia
2 CNRS - Centre National de la Recherche Scientifique
3 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 Centrale Lille

This paper deals with the problem of prescribedtime stabilization of controllable linear systems with input delay. The problem is reformulated under a cascade PDE-ODE setting from which a prescribed-time predictor feedback is designed based on the backstepping approach, and whose transformation makes use of time-varying kernels. The bounded invertibility of the transformation is guaranteed. It is proved that the solution converges to the equilibrium in a prescribed-time. A simulation example is presented to illustrate the results.

Domaines: Automatique

Nicolás Espitia, Wilfrid Perruquetti. Prescribed-time predictor control of LTI systems with input delay. 59th IEEE Conference on Decision and Control (CDC)., Dec 2020, Jeju Island (virtual), South Korea. ⟨hal-03021401⟩