Discrete-time differentiators: design and comparative analysis - TRIPOP Accéder directement au contenu
Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2021

Discrete-time differentiators: design and comparative analysis

Résumé

This work deals with the problem of online differentiation of noisy signals. In this context, several types of differentiators including linear, sliding-mode based, adaptive, Kalman, and ALIEN differentiators are studied through mathematical analysis and numerical experiments. To resolve the drawbacks of the exact differentiators, new implicit and semi-implicit discretization schemes are proposed in this work to suppress the digital chattering caused by the wrong time-discretization of set-valued functions as well as providing some useful properties, e.g., finite-time convergence, invariant sliding-surface, exactness. A complete comparative analysis is presented in the manuscript to investigate the behavior of the discrete-time differentiators in the presence of several types of noises, including white noise, sinusoidal noise, and bell-shaped noise. Many details such as quantization effect and realistic sampling times are taken into account to provide useful information based on practical conditions. Many comments are provided to help the engineers to tune the parameters of the differentiators.
Fichier principal
Vignette du fichier
Mojallizadeh_etal_022021.pdf (5.95 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02960923 , version 1 (08-10-2020)
hal-02960923 , version 2 (05-02-2021)

Identifiants

Citer

Mohammad Rasool Mojallizadeh, Bernard Brogliato, Vincent Acary. Discrete-time differentiators: design and comparative analysis. International Journal of Robust and Nonlinear Control, 2021, 31 (16), pp.7679-7723. ⟨10.1002/rnc.5710⟩. ⟨hal-02960923v2⟩
344 Consultations
1397 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More