Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach - Université Grenoble Alpes Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2022

Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach

Résumé

This work proposes a new method to deal with the stability analysis and stabilization of aperiodic sampled-data control systems subject to input saturation. An impulsive system representation is employed, with a linear flow and a nonlinear jump dynamics, in such a way that the evolution of the system at the sampling instants can be modeled by a difference inclusion defined by two set-valued maps. We show that to ensure the asymptotic stability it is sufficient to verify that a Lyapunov function decreases by a certain amount only at a grid of possible values for the sampling interval, as long as the increase of the function in continuous-time is conveniently bounded. Simulation results compare our approach with other ones.
Fichier principal
Vignette du fichier
20-1812_02_MS.pdf (302.22 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03188708 , version 1 (01-07-2021)

Identifiants

Citer

Daniel Denardi Huff, Mirko Fiacchini, Joao Manoel Gomes da Silva Jr. Stability and Stabilization of Aperiodic Sampled-Data Systems Subject to Control Input Saturation: A Set Invariant Approach. IEEE Transactions on Automatic Control, 2022, 67 (3), pp.142361429. ⟨10.1109/TAC.2021.3064988⟩. ⟨hal-03188708⟩
100 Consultations
182 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More