Forwarding for discrete-time linear systems: optimality and global stabilization under input saturation - Équipe Méthodes et Algorithmes en Commande
Communication Dans Un Congrès Année : 2024

Forwarding for discrete-time linear systems: optimality and global stabilization under input saturation

Résumé

We revisit the forwarding approach for the feedback stabilization of discrete-time systems in feedforward form. We show that the resulting feedback design is parametrized by a change of coordinate which is defined via a Sylvester equation. Moreover, we investigate the optimality of such a feedback by explicitly computing a quadratic cost which is minimized by the closed loop trajectories. Finally, we apply the forwarding approach to solve the problem of global stabilization of feedforward form systems which are simply stable in the presence of input saturations. The proposed approach is also shown to be effective in tackling the stabilization of systems with input saturation and time-delays.
Fichier principal
Vignette du fichier
Micnon_2024___Forwarding_DT-1.pdf (733.91 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04861660 , version 1 (07-01-2025)

Identifiants

Citer

Samuele Zoboli, Daniele Astolfi, Mattia Mattioni, John W Simpson-Porco, Nathan van de Wouw. Forwarding for discrete-time linear systems: optimality and global stabilization under input saturation. 4th IFAC Conference of Modelling, Identification and Control of nonlinear systems, Sep 2024, Lyon, France. pp.108-113, ⟨10.1016/j.ifacol.2024.10.154⟩. ⟨hal-04861660v1⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

More