Title :

Hyperexponential Stabilization of Double Integrator with Unmatched Perturbations

Author(s) :

Labbadi, Moussa [Auteur]
Aix Marseille Université [AMU]
Laboratoire d'Informatique et des Systèmes (LIS) (Marseille, Toulon) [LIS]
Contrôle et optimisation des systèmes et énergie [COSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]

Journal title :

IEEE Control Systems Letters

Publisher :

IEEE

Publication date :

2024

English keyword(s) :

Double integrator
Matched and unmatched perturbations
Hyperexponential convergence
Differentiator

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

In this letter, we propose linear time-varying state feedback controllers for a double integrator system subject to bounded disturbances. Under the proposed controls, the first state of the double integrator converges to ...
Show more >In this letter, we propose linear time-varying state feedback controllers for a double integrator system subject to bounded disturbances. Under the proposed controls, the first state of the double integrator converges to zero at a hyperexponential rate (faster than any exponential decay) uniformly with respect to the disturbances. Meanwhile, the second state stays bounded or approaches the negative of an unmatched differentiable perturbation. These results are applied to design a novel differentiator.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

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

Source :

Harvested from HAL