A note on non asymptotic stabilization of linear time delay systems

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

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 Centrale Lille
3 CNRS - Centre National de la Recherche Scientifique
4 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper deals with fixed-time and prescribedtime stabilization of controllable linear-time delay systems using Artstein's transformation [1]. First, a delayed chain of integrators is stabilized in fixed-time using the desingularization technique originally introduced in [4]. Then, prescribed-time stabilization of controllable linear systems with input delay is obtained through Artstein's transformation combined with a new prescribed-time stabilizing control design (involving timevarying gains) for LTI systems. Compared to the control design methodology employed in e.g. [10], this new design offers an alternative somehow clearer way for the choice of the timevarying gains. Simulations illustrate the obtained results.

Domaines: Automatique

Wilfrid Perruquetti, Nicolás Espitia, Michel Dambrine. A note on non asymptotic stabilization of linear time delay systems. 59th IEEE Conference on Decision and Control (CDC). December 14-18, 2020., Dec 2020, Jeju Island, South Korea. ⟨hal-03021373⟩